Performance assessment of the proposed algorithm in terms of NMSE.
\\n\\n
Released this past November, the list is based on data collected from the Web of Science and highlights some of the world’s most influential scientific minds by naming the researchers whose publications over the previous decade have included a high number of Highly Cited Papers placing them among the top 1% most-cited.
\\n\\nWe wish to congratulate all of the researchers named and especially our authors on this amazing accomplishment! We are happy and proud to share in their success!
\\n"}]',published:!0,mainMedia:null},components:[{type:"htmlEditorComponent",content:'IntechOpen is proud to announce that 179 of our authors have made the Clarivate™ Highly Cited Researchers List for 2020, ranking them among the top 1% most-cited.
\n\nThroughout the years, the list has named a total of 252 IntechOpen authors as Highly Cited. Of those researchers, 69 have been featured on the list multiple times.
\n\n\n\nReleased this past November, the list is based on data collected from the Web of Science and highlights some of the world’s most influential scientific minds by naming the researchers whose publications over the previous decade have included a high number of Highly Cited Papers placing them among the top 1% most-cited.
\n\nWe wish to congratulate all of the researchers named and especially our authors on this amazing accomplishment! We are happy and proud to share in their success!
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\r\n\r\n\tAflatoxins pose a potential threat to human and animal health through the consumption, contact, or inhalation of foodstuffs and feedstuffs prepared from these commodities. As a result of the adverse health effects of mycotoxins, their levels have been strictly regulated especially in food and feed samples. Therefore, their accurate identification and determination remain a Herculean task due to their presence in complex food matrices. The great public concern and the strict legislation incited the development of reliable, specific, selective, and sensitive analytical methods for mycotoxins monitoring.
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He is a member of the American Chemical Society and the Chemical Society of Nigeria.",coeditorOneBiosketch:null,coeditorTwoBiosketch:null,coeditorThreeBiosketch:null,coeditorFourBiosketch:null,coeditorFiveBiosketch:null,editors:[{id:"149347",title:"Dr.",name:"Lukman",middleName:"Bola",surname:"Abdulra'uf",slug:"lukman-abdulra'uf",fullName:"Lukman Abdulra'uf",profilePictureURL:"https://mts.intechopen.com/storage/users/149347/images/system/149347.jpg",biography:"Lukman Bola Abdulra’uf is a Senior Lecturer at the Kwara State University, Malete, Ilorin, Nigeria. He started his teaching career at the Kwara State College of Education, Ilorin, in 2006. He had his Ph.D. degree in Analytical Chemistry at the University of Malaya, Kuala Lumpur, Malaysia; MSc degree at the University of Ilorin, Nigeria; and his BSc degree at the Bayero University, Kano, Nigeria. 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Venkateswarlu",coverURL:"https://cdn.intechopen.com/books/images_new/371.jpg",editedByType:"Edited by",editors:[{id:"58592",title:"Dr.",name:"Arun",surname:"Shanker",slug:"arun-shanker",fullName:"Arun Shanker"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"878",title:"Phytochemicals",subtitle:"A Global Perspective of Their Role in Nutrition and Health",isOpenForSubmission:!1,hash:"ec77671f63975ef2d16192897deb6835",slug:"phytochemicals-a-global-perspective-of-their-role-in-nutrition-and-health",bookSignature:"Venketeshwer Rao",coverURL:"https://cdn.intechopen.com/books/images_new/878.jpg",editedByType:"Edited by",editors:[{id:"82663",title:"Dr.",name:"Venketeshwer",surname:"Rao",slug:"venketeshwer-rao",fullName:"Venketeshwer Rao"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"4816",title:"Face Recognition",subtitle:null,isOpenForSubmission:!1,hash:"146063b5359146b7718ea86bad47c8eb",slug:"face_recognition",bookSignature:"Kresimir Delac and Mislav Grgic",coverURL:"https://cdn.intechopen.com/books/images_new/4816.jpg",editedByType:"Edited by",editors:[{id:"528",title:"Dr.",name:"Kresimir",surname:"Delac",slug:"kresimir-delac",fullName:"Kresimir Delac"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}}]},chapter:{item:{type:"chapter",id:"65767",title:"Turbinate Surgery in Chronic Rhinosinusitis: Techniques and Ultrastructural Outcomes",doi:"10.5772/intechopen.84506",slug:"turbinate-surgery-in-chronic-rhinosinusitis-techniques-and-ultrastructural-outcomes",body:'\nChronic nasal obstruction is a very frequent condition in rhinological practice that severely interferes with the quality of life [1]. The most common cause of this complaint is chronic hypertrophic rhinitis. It consists of a chronical swelling of the inferior turbinate [2].
\nTurbinate hypertrophy, commonly associated with perennial allergic and nonallergic rhinitis [1], is not a simple enlargement of mucosal and submucosal tissues, but it is characterized by deep histological modifications such as severe damage of the epithelial barrier, disappearance of ciliated and goblet cells, inflammatory infiltration of the lamina propria, fibrosis, prominent venous congestion, and basement membrane interruption [2].
\nPatients generally complain about sneezing, rhinorrhea, postnasal drip, frontal headache, blocked nasal passages, sleep disturbance, and snoring [3].
\nWhen medical treatment with topical corticosteroids, antihistamines, and decongestants fails, surgical reduction of inferior turbinates could be attempted.
\nThe goal of turbinate surgery is to improve nasal patency by minimizing complications such us postoperative hemorrhage, crusting, foul odor, and the “empty nose syndrome” [4].
\nThere is a variety of turbinate procedures, but there is a lack of consensus about which technique is the best [5].
\nTurbinate hypertrophy can be divided into primary and secondary. The primary hypertrophy is related to the submucosal component, while the secondary hypertrophy is due to contralateral septal deviation and is related to the bony component of the turbinate. It is important to distinguish these two types of hypertrophy in order to decide the proper procedure to perform. The anatomic radiologic study (Figure 1) and the rhinomanometric evaluation (Figure 2) are mandatory for surgical indication [6].
\nThe radiologic study with head-CT shows a normal anatomy of the turbinates and the nasosinusal system.
Rhinomanometric evaluation before (A) and after (B) application of nasal topical decongestant shows the improvement of respiratory nasal flux.
Turbinate reduction techniques can be divided into four categories [7]:
Extramucosal debulking procedures
Superficial extramucosal procedures
Dislocation procedures
Submucosal procedures
These procedures include:
Total turbinectomy
Partial turbinectomy
Microdebrider-assisted turbinoplasty (extramucosal technique)
It is a technique that was described for the first time in the last 10 years of the nineteenth century. Jones in 1895 and Holmes in 1900 introduced the concept of total turbinectomy [8].
\nThis technique is considered the most radical surgical technique on the inferior turbinate. After having fractured, the bone plate of the inferior turbinate (Figure 3), levering from the inferior meatus, with an angled scissors, the inferior turbinate is dissected for its entire length remaining adherent to the lateral wall of the nasal cavity.
\nTotal turbinectomy.
For the immediate benefit that the patient obtains, it is often considered as safe and effective though its major complication is the possible bleeding, avoidable, however, both using adequate nasal swabs and avoiding to treat patients who take anticoagulants [9].
\nUnfortunately, this type of surgery, extremely aggressive, can later lead to dry nose syndrome or even the syndrome of the empty nose with a paradoxical obstruction. The obstructive event is due to the loss of normal nasal resistance and the formation of a laminar air column. This situation causes a poor contact between the air and the nasal walls, the mucosa, due to the absence of the sensory fibers of the inferior turbinate, shows a reduction or even a loss of the respiratory flow [6].
\nThe altered aerodynamics pattern, due to total turbinectomy, generates many complications such as copious postoperative bleeding, quantitative reduction of the ciliary movement, mucosal dryness, and deficit of mucus clearance. All this creates stagnation of secretions, crusts formations (sometimes foul-smelling), and frequent infections with gradual development of dry inflammatory forms affecting the pharynx and larynx. Precisely because of its complications, this technique has now fallen into disuse [9].
\nTASCA states that it is wrong to transform the nasal cavities into rigid and inanimate tubes, unable to perform the functions of congestion and decongestion, depriving them of their natural function [10]; and for Huizing and de Groot, total turbinectomy is a nasal crime, and they do not consider it useful to perform the resection of more than a third or half of the inferior turbinate unless it is a tumor [11].
\nThe partial turbinectomy (Figure 4) is used to limit the large surgical resections that are performed with total turbinectomy, and consists in the removal of the mucosa and bones of the anterior third of the inferior turbinate. The degree of resection is directly proportional to the degree of hypertrophy. Initially, the mucosal and the submucosal tissue are removed, and if there is bone hypertrophy, a small bone resection is also performed. There are several partial turbinectomy techniques.
\nPartial turbinectomy.
The oldest technique is the crushing and trimming introduced by Kressner in 1930. Other technique is selective mucosotomy, which consists of the removal of the anterior or/and the posterior region of the turbinate following defined section lines. The diagonal resection consists in a sagittal exeresis with the purpose of preserving the head of the turbinate and eluting the posterior region of the turbinate. The horizontal resection of the inferior edge of the turbinate avoids the risk of bleeding from the sphenopalatine artery [12], which instead occurs in the diagonal resection [7].
\nThe degloving technique was proposed by Chevretton et al. It consists of the resection of a large part of the turbinate, leaving the bone and the periosteum intact [7, 13].
\nTASCA et al. reported that the only appropriate techniques are “Crushing with remodeling” and “Resection of the tail.” It is preferable to perform a resection of the posterior region of the inferior turbinate, because the elimination of the head of turbinate causes a great functional damage. It creates a deficit of the mucociliary clearance and the inferior turbinate loses its function of directing the inspiring currents [10].
\nCrushing with remodeling is indicated if the hypertrophy is both anterior and posterior and allows to respect the functional capacity of the remaining portion of the turbinate. The turbinate is compressed using specific pliers and then reduced by cutting parallel or slightly diagonal strips starting from the lower edge. After the medial fracture of the turbinate performed with a smooth and chamfered instrument (the handle of a Cottle chisel can be used), it is squeezed with modified-Kressner tongs both anteriorly and posteriorly. The size of the turbinate is reduced by removing a strip from its rather flaccid bottom edge with Heymann-type scissors. If necessary, a part of bone is removed. Finally, the turbinate remaining laterally is repositioned. It is advised to perform a second surgical time if the hypertrophic tissue is excessive, avoiding to remove it in a single time [14].
\nResection of degenerated tissue: if a part of the turbinate is damaged irreversibly, it is removed using long angled scissors or a loop [14].
\nEven if partial inferior turbinectomy is a simple and effective surgical procedure, it is equally troublesome if not performed correctly. Excessive resection of the inferior turbinate can lead to peri- or postoperative bleeding, from medial and inferior surface of the inferior turbinate, synechiae with the nasal septum and floor of nasal cavity, frequent post nasal blood drip, nasal crusting, and atrophic rhinitis. By using appropriate tools and limiting demolition, these complications can be avoided [15].
\nA study by Passali et al. demonstrated how the partial turbinectomy technique performed at the level of the inferior turbinate resolves most of the nasal obstruction. This technique however, even if minimally, causes damage to the nasal mucosa and therefore it is necessary that the surgeon is experienced to avoid complications [1, 16].
\nSapci et al. reported that the use of radiofrequency to reduce hypertrophy of turbinates leads to an improvement of nasal obstruction and does not alter the ciliary mucus clearance. With the partial turbinectomy technique, the results obtained were similar to those of results with the radiofrequency tissue ablation technique [1, 17].
\nSalzano et al. enrolled four groups of patients each treated with radiofrequency, high-frequency electrocautery treatments, and lower partial turbinotomy to reduce the hypertrophied lower turbinates. They show that the partial inferior nasal turbinectomy is the best method of treatment, because it does not cause damage to the nasal mucosa or underlying sensibility nerves [18].
\nIn the 1996, the microdebrider was first used by Davis and Nishioka to remove both medial and inferior redundant mucosal tissue and hypertrophied cavernous sinusoid of the inferior turbinate and the anterior head region of the inferior turbinate, up the superficial layer to the periosteum [19].
\nGenerally, if the microdebrider-assisted turbinoplasty is limited to the decongestion of the turbinates only, the patient undergoes local anesthesia with vasoconstrictive drugs to create a large ischemia avoiding intraoperative bleeding. General anesthesia is necessary in the event that a septal or paranasal sinus surgery is also associated. In our experience, the local anesthesia is performed using soaked gauzes with Xylocain hydrochloride 5% and naphazoline 0.02% set on the nasal floor and on the medial wall of the inferior turbinate. We have left the infiltration of the turbinate and given the possible neurovegetative complications described by Ravikumar et al. [20].
\nThis procedure is performed under the endoscopic guidance using an 0° endoscope 4-mm diameter. The microdebrider is a device that consist of a handpiece on which is positioned a rotating blade protected by a blunt end that sucks and removes the hypertrophic tissue. The surgeon moves the blade of the microdebrider, with 2300–3000 rev/s speed of oscillation, along the inferior turbinate from posterior to anterior region and with continuous suction. It is suggested to proceed in posteroanterior direction to obtain a clean field, free of blood. The timing of surgery necessary to accomplish the procedure is about 1–2 min long for each nasal cavity [3, 20]. At the end of the surgery, nasal packing of variable length between 8 and 10 cm are placed.
\nNasal packing are used to prevent postoperative bleeding and to fill the dead space inside the nasal cavity [21], where it remains only for 48 h and does not change the functional recovery of the mucosa [3]. The patient is advised to instill nasal drops containing vitamin A and Vaseline oil for about a month after surgery [3].
\nMicrodebrider technique is mainly discussed because of its supposed interference on mucociliary clearance.
\nAccording to Lee and Lee [21], the microdebrider causes minimal mucosal damage that does not significantly modify the ciliary mucus transport time. In fact, the entire respiratory epithelium of the nasal cavities, and not only the mucosa of the inferior turbinate, is responsible for this physiological mechanism.
\nAccording to a study conducted by our University Clinic in the 2012, the microdebrider does not damage the respiratory epithelium, but rather stimulated its regeneration. Studies conducted on animal models have shown that basal cells move the bare mucosa forward after a mechanical injury. The cells undergo transient squamous metaplasia, and then they differentiate both goblet and ciliated cells. This mechanism has also been demonstrated in human nasal cavities. The debridement of the mucosa leads to an improvement in nasal obstruction, rhinorrhea, hyposmia, headaches, snoring, and postnasal drip. It is never associated with consequences such as dryness, crusts, or nasal irritation or with alteration of mucosal function [3].
\nAccording to a study conducted by Van et al. [22], the use of the microdebrider technique allowed a success of 93% and only 17 patients presented temporary complications such as bleeding, crusting, and synechia [21]. Lee and Lee have demonstrated, through a 2006 study, that the use of the microdebrider is more effective than the group of patients who have been treated with coblation in obstructive symptomatology and in reducing the volume of the mucosa of the head of the inferior turbinate 12 months after the intervention [21]. It has been defined as the best technique for the treatment of inferior turbinates hypertrophy [3].
\nSuperficial extramucosal procedures include
Laser-assisted ablation
Electrocautery
Chemosurgery
Cryoturbinectomy
Argon plasma coagulation
Infrared coagulation
Argon laser has been the first application of laser surgery for inferior turbinate, and has been performed by Lenz et al. in 1977 [23], even if was popularized only in the 1990s [24].
\nLaser surgery has been described with many different procedures such as interstitial, contact, or noncontact. This technique has been performed in topical anesthesia, with slow risk of bleeding, with high compliance of patient.
\nMany types of lasers have been used for turbinate reduction. They differ in wavelength: CO2 (λ: 10,600 nm), diode (λ: 940 nm), Ho:YAG laser (λ: 2080 nm), Nd:YAG laser (λ: 1064 nm), argon-ion (λ: 488–514 nm), and potassium-titanyl-phosphate (KTP) with a wavelength similar to Argon laser [25].
\nThe CO2 laser, Nd:YAG laser, and diode laser has been the light source most used [10] in surgery. Pulsed light mode has been safer than continuous light mode with lesser local damage.
\nThe application of light can be straight as longitudinal strip (laser-strip carbonization) with cross-light beams (cross hatched) and in “single-spots” at a range of 1–2 mm. The most used is the laser strip carbonization. Many studies showed that the best use of this kind of laser for the turbinate is “single-spots,” because to be able to preserve healthy portions of mucous for the rapid epithelization [26].
\nThe CO2 laser has a high cutting precision and superficial vaporization, but is not more maneuverable; above all, for the posterior section of the inferior turbinate, indeed it does not have a flexible optical fiber. CO2 laser has worse capacity of coagulation, higher price, and worse handling than Ho:YAG, argon-ion, Nd:YAG, and KTP lasers.
\nDiode laser has been used for the turbinate surgery because it has a good capacity of coagulation of soft tissue with minimal risk to damage the periosteum [27].
\nYAG laser has a good capacity of penetration of deep tissue respecting the superficial epithelium with a good intraoperative hemostasis but in literature has been reported the presence of post operatory edema with an initial respiratory obstruction, for this reason its use has greatly reduced over time [28].
\nPotassium titanyl phosphate (KTP) laser is an efficient method to treat a tissue with a high vascularity, as the inferior turbinate had a wavelength that is selectively absorbed by endogenous chromophore as melanin and hemoglobin [29]. In this way, it has a selective action toward submucosal tissue, sparing surface mucosa. Tissue sample treated with KTP surgery is evaluated macroscopically and histologically: necrotizing sialometaplasia, cartilage destruction, and dilated glands with excess mucus occurred, whereas cilia were present [30].
\nMany authors agree that laser surgery produces permanent histologic changes in turbinate soft tissue [31]: reduction of gland serum mucous and damage of the superficial epithelium with reduction of mucociliary transport [32]. All these change have implications for the postoperative period with presence of scabs and dry mucous. Despite its first listed disadvantages, CO2 laser is the least damaging of all lasers [33].
\nThis method uses the heat to clot the soft tissue, causing necrosis and fibrosis with volume reduction of the turbinate. The risk of intra- and postoperative bleeding is uncommon, but the presence of scab and scarring is frequent. Due to the high temperature achieved, this technique is destructive on the mucous and can reduce the efficiency of mucociliary transport [34]. The electrocautery exist in two modalities: monopolar and bipolar. The use of bipolar mode is safer and more effective for significant nasal obstruction reduction [35].
\nIn 1926, Denker and Kahler described the use of trichloroacetic acid [36] (TCA) solution to the inferior turbinate in the hypertrophic rhinitis. The effect of TCA consists in protein degeneration [37]. This action on turbinate mucosa is aggressive and damages the mucociliary function. We can study the mucociliary function with the “saccharine time” (ST) [36]: when a saccharine granule is adhered to the nasal mucosa it is dissolved within 1 min, the molecules are then transported to the nasopharynx where the patient recognizes the sweet taste, if the ST is short there is an efficient mucociliary function. In 2008, many authors showed that the “saccharine time” (ST) has been reduced in the early and late period after the TCA application. TCA treatment can induce inhibition of Th2 cell infiltration, a condition typical of allergic rhinitis [38].
\nThis method is characterized by an application on the surface of inferior turbinate of nitrous oxide for a period of 90–120 s at the −40/−80°C. The cryotherapy causes the formation intracellular of ice crystals and the demolition of cell membrane [39]. A recent paper suggests that regeneration of healthy ciliated nasal epithelium is a constant feature without evidence of scarring [40]. The efficacy on vasomotor rhinitis has been showed [39], but is not sustainable overtime [41].
\nArgon plasma coagulation (APC) originally has been used on gastrointestinal lesions under endoscopy then it has been introduced into otolaryngological field [42]. In this method, the current flow is conducted through ionized argon gas (so-called plasma)[43]. The equipment consists of a deliverer of argon gas connected to a high-frequency current generator; the argon, ionized by the monopolar current, covers the surface of the area to be coagulated, without touching it, with a penetration inside the tissue of not more than 2–3 mm [44]. The short tissue vaporization, the rapid application, and the very short propagation of postcoagulation smoke bring further advantages in the performance of small operations in restricted areas as into nasal region [45].
\nInfrared coagulation (IC) has been performed for the first time in 1975 by Nath and Kiefhaber [45]. The light reflects from a 15-V tungsten-halogen lamp from a gold surface. The reflected light has been a spectral maximum in the infrared range: 10,000 A. The tip causes a thermal necrosis on the tissue at 100°C without surface adhesion or carbonization [46]. IC of inferior turbinate seems to be easy to use and safe. It has low cost and patient acceptance. These features make it an attractive alternative to other methods currently used for turbinate reduction [46]. However, the efficacy of this method is especially on the head of inferior turbinate, because the tip is bulky and has an angle of 30° with their column and is hard to perform on the posterior portion of the turbinate [46].
\nTurbinate dislocation techniques include:
Inferior turbinate lateralization (or outfracture)
Conchopexy
The inferior turbinate lateralization is a routinely performed procedure. It is a simple technique introduced by Killian in 1904 in order to avoid turbinectomy complications [34, 47]. It is usually performed by using a Goldman or a Freer elevator or a long nosed nasal speculum. The procedure usually begins with an infracture of the inferior turbinate bone (the inferior aspect of the turbinate is pulled medially). An external force is then applied to the turbinate leading to a bone fracture and a dislocation of the turbinate to the lateral nasal wall (Figure 5) [48]. This procedure does not modify the anatomy of the surrounding structures, dislocate the uncinate process [49], and close the Hassner valve; hence, there is no blockage of lacrimal duct.
\nInferior turbinate outfracture.
However, the outfracture provides only a temporary improvement of nasal respiration, because the dislocated turbinate often resumes its original position [50]. Generally, this procedure is associated with septoplasty or rhinoplasty. It is also associated with other turbinate reduction techniques because it does not treat the hypertrophy of the turbinate. It is particularly indicated in cases of bony hypertrophy. In order to perform this procedure, it is necessary that the inferior meatus is sufficiently large to contain the dislocated turbinate [51].
\nIn 1990, O’Flynn et al. invented the “multiple submucosal outfracture” (Figure 6) in order to improve the efficacy of the outfracture procedure: a little incision is practiced at the cephalic portion of the turbinate near the turbinate bone; the mucosa and the submucosa are elevated with a periosteal elevator and the turbinal bone is fractured into six to eight portions and the bony fragments are dislocated laterally [52].
\nMultiple submucosal outfracture.
It was described for the first time by Fateen in 1967. It consisted in a dislocation of the inferior turbinate into the maxillary sinus after antrostomy or demolition of part of the lateral nasal wall [53]. Although the efficacy of this technique had no success, it is now considered obsolete.
\nSubmucosal procedures include:
Submucous resection (or turbinectomy)
Cold technique turbinoplasty
With manual instrumentation
With electronic tools
Thermal turbinoplasty
Diatermocoagulation
Laser surgery
Radiofrequency (RFAIT)
Radiofrequency coblation technique (RFCT)
Ultrasound
Quantic molecular resonance
Submucosal corticosteroids injection
Submucous resection was first described by Spielberg in 1924 [54] and then elaborated by Howard House in 1951 [32]. It consists of removing the inferior turbinal bone and the submucosal erectile tissue with preservation of the overlying mucosa [55]. A premedication with vasoconstrictors and local anesthetics is used for both the medial and lateral surfaces of the turbinal mucosa. The Freer knife is used to perform incision over the head of turbinate and is inserted to the previously exposed anterior edge of the conchal bone. The mucosa is separated from the bone by repeated small cutting strokes. The mucoperiosteum is separated from the medial and the lateral surfaces of the bone for a distance of 1.5 cm. The thick anterior portion of the turbinal bone is grasped with the Takahashi forceps, rotated and then removed. The remaining 2/3 of the bones are very thin, so there is no need to remove it. Sutures are not necessary [32]. By maintaining the mucosal flaps, the normal nasal function is preserved. There is a minimum risk for crusts formation, except for the incision site. There is a low risk for postoperative bleeding, but postoperatively nasal packing is necessary. This technique is particularly effective in cases of prominent bony hypertrophy. A mucosal shredding in inexperienced hands may occur [55]. The submucosal resection leads to fibrosis of the submucosal tissue from the deep layers of the turbinate with the reduction of the immunocompetent cells and IgE. The resection also provokes a damage of the postnasal nerve fibers resulting in the reduction of sneezing and rhinorrhea in allergic patients [56, 57].
\nTurbinoplasty was first described by Mabry in 1982 (Figure 7). According to Mabry’s technique, a No. 15 blade is used to make an incision from the inferior tip of the turbinate, down to the level of conchal bone, until the posterior edge of the turbinate. A mucosal flap is prepared and elevated from the medial surface. The inferior and lateral part of the turbinate (including bone, soft tissue and lateral mucosa) are then removed with forceps. The residual mucosal-covered soft tissue flap is then curled upon itself to form a “neoturbinate” [58].
\nCold turbinoplasty with manual instrumentation (Mabry’s technique) (A) incision from the inferior tip of the turbinate, (B) mucosal flap, (C and D) the bone and soft tissue of the inferior and lateral part of the turbinate lateral mucosa removal. (E) Residual mucosal curled upon itself to form a “neoturbinate.”
Powered microdebrider-assisted turbinoplasty is an effective technique with fewer complications of crusting and similar favorable outcomes to manual submucosal resection [55]. It is performed under endoscopic guidance. Local infiltration is given in the inferior turbinate. A vertical incision is made in the anterior tip of the inferior turbinate. The microdebrider is then introduced through the incision and by rotating continuously in a circular fashion it removes all stromal tissue [59]. Finally, anterior nasal packing is kept in nasal passages for 48 h [1]. Microdebrider offers preservation of both the mucosa and the anatomy/physiology of the turbinate. However, this technique is associated with a major risk of postoperative bleeding [55].
\nThis technique was first introduced by Beck in 1930. It is performed using an Abbey needle at 20 W of power. Under endoscopic guidance, the needle is introduced in the anterior tip of the inferior turbinate until the posterior edge. A second pass is performed along the inferior medial edge and a third pass midway between the previous passes. This technique is associated with more complications, such as postoperative bleeding, crusts formation, mucosal dryness, edema, and avascular necrosis [60, 61].
\nLaser treatment of the inferior turbinates is generally used as extra mucosal technique. Potassium-titanyl-phosphate (KTP) laser has been applied directly inside the turbinate to reduce the vascular tissue. KPT laser energy is well absorbed by hemoglobin and pigmented tissue. Thus, the engorged vessels strongly absorb the laser energy resulting in shrinkage of the vessels and submucosal tissue. The procedure is conducted as described: an 18-gauge needle is inserted into the submucosa of the inferior turbinate from its anterior edge to about 2 cm. KTP laser is delivered by inserting the fiber through lumen of the needle previously applied, the needle is removed and a retrograde photocoagulation is performed. Results seem to be good with the respect of the mucosa. Patients complain about the long period they have to wait for healing [62, 63].
\nAmong the thermal techniques, radiofrequency ablation of the inferior turbinate is one the most performed because of its simple utilization, the possibility to be performed even only under local anesthesia, and its rare complications [64, 65].
\nThis method works generating a high frequency, but low intensity energy. The instrument consists of a monopolar or bipolar generator and a handpiece (probe) that contains electrodes [66]. The electrodes do not get heated themselves [67]. They induce an ionic stirring, and collision between ions and tissue molecules gives out heat over the surrounding submucosal layer of the turbinates (2–4 mm around the active portion of the electrode), preserving overlying mucosal integrity within its mucociliary function. The temperature achieved is always controlled (60–90°C) and carbonization phenomena are excluded [68].
\nThe tip of the electrodes can be introduced in front part (or “head”) of the inferior turbinate in one time and pushed across all its length (single insertion site technique) or in three steps (head, body, tail of turbinate), ideally under endoscopic guide. Some authors usually manage just the anterior hypertrophy of the turbinate, as responsible of most nasal resistances [69].
\nThe reduction of the volume of the turbinate is visible just during the surgery, but long term results cannot be estimated during the procedure.
\nIn the first 24–48 h, nasal obstruction can get worse because of the edematous reaction [69], to improve in the following 2–3 weeks, in which the original tissue is replaced by scar tissue, which has a lower thickness. The shrinkage of turbinates enhances with the partial subsequent reabsorption of the scar tissue and the submucosal fibrosis [68] that join the mucosa to the periosteum of the inferior nasal concha. Blood flow is reduced too. Intraoperative and postoperative complications (such as hemorrhage) are rare, and usually there is no need in nasal cavity packing [68].
\nThis surgical option is repeatable and its repetition can stabilize results over time [68].
\nA different type of radiofrequency bipolar technique is the so-called coblation (term that derives from the union of the words “Cold” and “Ablation”) that consists of a bipolar wand and a standard electrosurgical unit. The thermal lesion of the submucosal tissue is caused by the ionic agitation of an electrically conductive fluid (normal saline) added in the space between the electrode and the tissue. This ionic agitation determines a molecular disintegration that is minimal because of the minimum distance between the active and passive electrodes. For the turbinate surgery, two probes are available: the “Reflex Ultra 45 wand” and the “Hummingbird wand” [70, 71].
\nThe surgeon, using the wand, under optical guidance, can create a tissue channel or more, depending on the size of the inferior turbinate to be reduced. In this technique, which can be conducted even under local anesthesia, the infiltration of the turbinate with saline solution is important. Radiofrequency energy promotes a submucosal fibrosis process, which leads to the dimensional reduction of the turbinate, in the absence of involvement of the mucosal lining and/or of the mucociliary transport system. Nasal packing is not required [70].
\nIn the short-term postoperative period, often it is usual to observe a “rebound swelling” of the turbinate, due to the tissue edema, that can last even 10 days, to resolve its self in about 6 weeks. As the common radiofrequency technique or even more frequently, additional therapeutic sessions can be necessary, because of a gradual recurrence of symptoms after some time. Patients with the lowest preoperative nasal conductance of airflow gain greatest objective benefit from turbinate coblation. This means that patient selection with objective measurements is very important [72].
\nThe mechanism of action of this technique consists of the transformation of low frequency ultrasounds (44 + 4.4 KHz) into mechanical oscillations, induced by an acoustic transducer, through a piezoelectric phenomenon. The probe, introduced into the turbinate submucosa through the creation of two parallel intraparenchymal tunnels, ultimately produces a process of ultrasonic disintegration, particularly evident at the level of the cavernous and connective tissue, with reduction of the volume of the turbinate due to the formation of abundant intramural fibrotic tissue. A histopathological analysis with an electronic microscope showed regeneration of respiratory epithelium (ciliary regeneration), after 3 months reduction of hyperplasia; decrease in the number of goblet cells and glandular elements; and restoration of a normal pseudo-layered ciliated epithelium, after 6 months [73, 74].
\nUnlike the other existing technologies, which base their operating principle on a transfer of thermal energy (heat generated by the passage of current), the molecular quantum resonance scalpel suitably modulated to produce tissue separation not by thermal vaporization, but as a consequence of the “resonance” effect at the cellular level. The energetic quanta, opportunely calibrated for the tissue to be treated, are able to break the molecular bonds inside the cell, without increasing the kinetic energy and, therefore, without increasing the temperature. The result is an extremely precise and delicate biological result, in the absence of damage necrosis. The temperature reached does not exceed 45°C. For the coagulation process, the frequencies are slightly modified, so as to make the molecules vibrate inside the cell and induce a modest rise in temperature (up to about 63°C), which in turn allows to obtain the coagulation of the tissue affected by fibrinogen protein decline. Submucosal decongestion of the turbinate is performed by means of insertion with a headpiece, activated by a QMR machine, so-called Quantum (Telea, Sandrigo-Vicenza, Italy), for a total of 20–30 s, at an intensity force of 3.5, with immediate causes a shrinkage of the mucosa. Since this is a substantially new technique, even if a special dedicated bipolar electrode exists and it is already operating regularly, there are only a few references in the current literature [6, 75].
\nThe injection of a “long acting” steroid solution is a minimally invasive method, which still guarantees a rather limited benefit over time (it is maximum after 1 week and generally lasts for no longer than a month). It is performed by a slow submucosal injection of triamcinolone acetonide at the level of the turbinate head. A possible complication, even if extremely rare, consists of a transient or permanent loss of sight, which is thought to derive from a retinal vasospasm or a retrograde embolization affecting the retinal circulation (devastating retinal thromboses can also occur) [6, 76, 77].
\nThe great interest in turbinate surgery is documented by the large number of surgical techniques proposed over the years and by the production of specific surgical devices by the healthcare industry. However, this diversity of opinions and the quantity of proposed techniques, all valid and scientifically documented, underlines the continuous research to balance the need to solve the obstruction and to maintain the function of the nasal mucosa that unfortunately, in chronic pathologies, like vasomotor rhinitis, is still severely damaged. In literature, in fact, a reduction in epithelial thickness and disappearance of ciliated and goblet cells, the absence of tight junctions, nasal mucus overproduction, inflammatory infiltration in lamina propria [73], marked disruption of the intercellular spaces, and frequent basement membrane interruption [78] can be observed. The lack of mucociliary clearance, absence of tight junctions, widening of intercellular spaces, and discontinuity of the basement membrane induce a reduction in epithelial defense functions, so that environmental factors may directly act on subepithelial structures. As a result, in the nasal respiratory mucosa, an increased responsiveness of trigeminal afferent fibers and secretory and vascular reflexes might occur representing the basis of symptoms [79].
\nThe presence of these profound alterations makes us understand that a preservation of histologically altered mucosa translates inevitably into maintaining an impaired nasal function. On the other hand, it was to demonstrate [2] that the total removal of the nasal mucosa with “cold technique,” without high temperatures, that burned and damaged the edges of the removed mucosa, results in a subsequent complete ultrastructural restoration of the healthy tissue.
\nFor this reason, any technique, among those described, the surgeon want to adopt, in any case will have to follow any simple rules: do not use high temperatures, do not remove bone tissue and remove all the hypertrophic and damaged mucosa.
\nI have to thank Dr. Fiorella Cazzato who, with skill and ability, illustrated the present work by enriching it with the original explanatory drawings of various techniques.
\nThe authors declare that there is no conflict of interest regarding the publication of this article. All authors have seen and approved the manuscript being submitted. We warrant that this chapter is the authors’ original work. We warrant that the chapter has not received prior publication and is not under consideration for publication elsewhere. This research has not been submitted for publication nor has it been published in whole or in part elsewhere. We attest to the fact that all authors listed on the title page have contributed significantly to the work, have read the manuscript, attested to the validity and legitimacy of the data and its interpretation, and agreed to its submission.
\nHolography is the only visualization technique that satisfies all the depth cues [1, 2, 3]. Therefore, it gives a natural three-dimensional (3D) visualization. Holography is based on capturing the diffracted optical waves from an object and regenerating those waves again by illuminating the recording media [1, 2, 3, 4, 5, 6]. Captured optical waves provide a significant amount of information related to the object such as surface profile, depth, and refractive index of the object. Hence, holography has a myriad of applications. For instance, holograms can be used as optical elements like prisms, lenses, and mirrors [7, 8]. Also, parallel optical computing is possible when holograms are employed [9, 10]. Furthermore, holograms are useful in metrology [11, 12, 13] and microscopic imaging to visualize very small objects like cells and bacterias [14, 15]. Another application of holography is related to nondestructive testing [16, 17, 18]. Nevertheless, major application of holography is related to 3D visualization, and it is used in education [19, 20], dentistry [21, 22], gaming [23], demonstration of cultural heritage [24], and more.
\nHolography setups can be assembled by using different configurations depending on the application. In optical holography setups, holographic patterns are stored on high-resolution holographic films [25, 26] and some type of crystals [27]. However, in some of the applications, we need to process the captured holographic patterns by numerical methods. Then, digital sensing devices are employed as a capturing device. Those types of setups are called as digital holography, and it has a vast amount of applications especially in nondestructive testing and microscopy. In [28], digital holography-based measurement method of 3D displacement is presented. Observed material is illuminated from four different directions sequentially; then they are combined to improve the resolution in the order of 10 nm. As a nondestructive testing method, digital holography is used in the analysis of cortical bone quality and strength impact in [29]. Furthermore, a method based on digital holography is implemented for detecting and measuring effect of moisture on the hygroscopic shrinkage strain on wood [30]. Another application of digital holography is in precise and accurate measurement of the initial displacement of the canine and molar in human maxilla [31]. By using subpixel registration and fusion algorithms, an improvement of profile measurements and expanding the field of view (FOV) in continuous-wave terahertz reflective digital holography is achieved [32]. A comprehensive review of denoising methods on phase retrieval from digital holograms in terms of signal-to-noise ratio (SNR) and computation time is presented in [33]. Removal of phase distortions by using principal component analysis (PCA) method is given in [34].
\nHolography is a versatile tool for visualization, measurement, and testing. In optical and digital holography methods, we need some optical sensing elements like polymers and digital devices to capture the diffracted field from the object. However, in computer-generated holography (CGH), diffraction field calculations are performed by using numerical methods and signal processing algorithms [4, 5, 6, 35]. Then, we can obtain the hologram from the calculated diffraction field and use it to drive dynamic display devices such as spatial light modulators (SLMs). After that, illumination of the SLM with a coherent light source will provide an optical reconstruction of the original object. When CGHs are calculated sequentially and used in driving SLMs, then we can have a holographic 3D television (H3DTV) as a product. An overview on holographic displays is presented in [36]. Generally, coherent light sources are used in H3DTV systems, and those light sources can generate speckle noise in the reconstructions. Low computational method for improving image quality and decreasing the speckle noise in CGH is proposed in [37]. Diffraction field calculations as in CGH are also used in other 3D display systems to improve the resolution of reconstructed objects. For instance, in integral imaging-based 3D display system, distortions on the elemental images are corrected by using holographic functional screen [38].
\nIn diffraction field calculation from a 3D object, we have to generate a synthetic 3D object. There are plenty of ways for generating a synthetic 3D object in a computer. For instance, we can form a 3D object by using a set of point light sources which are distributed over the space. Those types of objects are called as point cloud objects. To calculate the diffraction field from a point cloud object, we superpose the diffraction fields emitted by each point light source [35, 39, 40, 41, 42, 43, 44]. Another 3D object generation method is based on stitching small planar patches. As in the process of diffraction field calculation from point cloud objects, once again the diffracted fields from each patch are superposed to obtain the diffraction field of the object [45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55]. The third method which can be used in the generation of synthetic 3D object is based on having multiple two-dimensional (2D) cross sections of the object along the longitudinal axis. Then, superposition of diffracted fields from those 2D cross sections will give the diffraction field of the 3D object [56, 57, 58, 59, 60]. A detailed summary on CGHs in terms of resolution, field of view, eye relief, and optical setups for different 3D object generation methods can be seen in [61, 62].
\nCGHs of the objects should be calculated rapidly to obtain H3DTV systems. Hence, fast methods such as fast Fourier transform (FFT) and look-up table (LUT)-based methods are utilized in CGH calculations. In [39, 52], algorithms which are based on FFT are used for decreasing the calculation time of CGH. Precomputed LUTs are also used for achieving fast calculations in CGH calculations [2, 39, 41, 42, 63, 64]. Another way to achieve fast calculation in CGH is based on segmentation of diffraction field from point light sources [43, 44]. Parallel processing of diffraction field calculation provides further improvements on the computation time. Graphical processing units (GPUs) are special hardware to run parallel calculations. Thus, they are one of the most convenient hardware for H3DTV systems [40, 44, 65, 66]. Time-division method can also be used in the calculation of CGHs for layered 3D objects to achieve fast computations [67].
\nImposing some approximations in the diffraction field calculations provides to decrease the computational complexity, and it paves the way to obtain fast diffraction field calculations. In the meantime, we have to improve the quality of the reconstructed object. An accurate calculation method of diffraction field which is based on angular spectrum decomposition is explained in [68]. Furthermore, diffraction field calculation methods for SLMs with pixelated structure are presented in [69, 70, 71]. However, the computational complexities of those methods are too high to have real-time diffraction field calculations. As a result of this, the algorithms presented in [72, 73, 74, 75] are proposed as a solution to both computation time and quality in the reconstructed object in H3DTV. Further computational time improvements can be obtained by utilizing a LUT which is optimized for parallel processing on a GPU to achieve real-time calculations. Moreover, the pixel structure of the employed SLM in the reconstruction process is taken into account in forming LUT. Calculated LUT has one-dimensional (1D) kernels to decrease the allocated memory space.
\nIn CGH, it is possible to obtain 3D reconstructions of both synthetic and real objects. By employing dynamic display devices like SLMs in the reconstruction process, we can have H3DTV systems. To drive SLMs, we have to calculate diffraction fields from 3D objects by using numerical analysis methods and signal processing techniques. Calculation of diffraction field depends on the 3D object generation method. In this work, we assumed that 3D objects are represented as point clouds, because it is one of the simplest methods in 3D object generation. The diffraction field of the 3D object is calculated by superposing the diffraction fields emitted from the points that form the 3D object.
\nSuperposition on diffraction field calculation from a point cloud object over a planar surface can be expressed as
\nwhere \n
\n\n
where \n
Scaled and superposed diffraction fields from point light sources provide the diffraction field of the 3D object, and its phase component is used for driving the SLM. Then, entire surface of the SLM is illuminated by a plane wave. After that, the reflected optical wave from the surface of the SLM generates an optical replica of the 3D object. Most of the off-the-shelf SLMs have square pixels with very high filling factors like \n
An illustration of the pixel structure of the simulated SLM.
Simulation of optical setup can be improved when the pixelated structure of the SLM is taken into consideration. For that purpose, we have to perform surface integration over each pixel area on the SLM. It is assumed that gray value over each pixel area has a constant value. The diffraction field over SLM can be found as
\nwhere \n
where \n
where \n
and its elements can be calculated as
\nwhere \n
Numerical evaluation of cosine and sine Fresnel integrals given in Eq. (8) is calculated by adaptive Lobatto quadrature [77].
\nIn the standard algorithm, diffraction field of each point is obtained by evaluating Eq. (8). Then, superposition of those fields is performed to obtain CGH. As a result of this, computational complexity of diffraction field calculation is too high to have real-time applications. As a solution to the computation time problem, we present a fast algorithm to calculate 2D kernel, \n
Fast computation of diffraction field and improved quality of reconstructed 3D object are essential issues in H3DTV. As a solution to those problems, we propose a method based on calculation of 2D kernels \n
where \n
Performance assessment of the proposed diffraction field calculation method is obtained by implementing different scenarios, but a few of them are presented to give an insight to the reader. Two major performance evaluation criteria are taken into account: total computation time of the CGH and the normalized mean square error (NMSE) on the reconstructed object. NMSE on the reconstructed object can be calculated as
\nwhere \n
An illustration of simulated optical setup. The SLM employed in the setup has \n\nN\n\n and \n\nM\n\n pixels along \n\nx\n\n- and \n\ny\n\n-axes, respectively. Transversal axis sampling is indicated by \n\n\nX\ns\n\n\n. The variable \n\n\nz\n0\n\n\n determines the distance between SLM and the closest point light source of the 3D object.
First, a 3D point cloud object is generated in computer environment. The generated 3D object has \n
The proposed algorithm is implemented by using two platforms: MATLAB and Visual C++. To have shorter computation time for diffraction fields, we utilize CUDA libraries and parallel computation power of GPU. The assembled computer system has i5-2500 CPU at 3.3 GHz, 4GB RAM, and a GTX-680 GPU to run the algorithm. Operating system of the computer is chosen as 64-bit Windows 7.
\nGenerally, off-the-shelf SLMs have pixelated structure, and phase parts of the calculated diffraction fields are used for driving the SLM. When the pixelated structure of SLM is not taken into account in CGH calculations, it is not easy to differentiate focused and unfocused parts of the reconstructed 3D objects. An illustration of such a result can be seen in Figure 3a. As a result of the similarity in focused and unfocused parts, the quality of the reconstructed object is decreased significantly. On the contrary, the difference between focused and unfocused parts in the reconstructed 3D object is clear when the proposed method is used in diffraction field calculation. Those results can be seen easily in Figure 3b.
\nA point cloud object which has six parts and each part is located at different depths along the longitudinal axis. The leftmost piece is reconstructed in both of the figures shown above: (a) reconstruction of the 3D object from the CGH obtained without taking into consideration the pixelated structure of SLM and (b) reconstruction from the CGH calculated by the proposed algorithm.
Furthermore, numerical and optical reconstructions are very similar to each other, and that similarity in the reconstructions can be seen in Figure 4.
\n(a) Optical reconstruction of a point cloud object and (b) numerical reconstruction of the same object given in (a).
To calculate the diffraction field in the standard method, we need to perform cosine and sine Fresnel integrals for each pixel on SLM and for each point light source in 3D object. As a result of this, computational complexity of the standard method is extremely high, and CGH is calculated at \n
3D object = 3144 points; \n | \nComputation time (s) | \nNMSE | \n
---|---|---|
Standard method | \n2710.10 | \n— | \n
LUT | \n8.15 | \n0.08 | \n
LUT: parallel processing by using four cores | \n7.08 | \n0.08 | \n
LUT: parallel processing by using GTX-680 | \n0.08 | \n0.08 | \n
Performance assessment of the proposed algorithm in terms of NMSE.
Proposed algorithm utilizes LUT which has 1D precomputed kernels for 125 different sampling points along longitudinal axis.
By increasing the number of kernels in LUT, we can improve error performance of the algorithm without having any extra computational load, but there is an increase in the size of the required memory. As a result of this, installed memory space may not be enough to perform the diffraction field calculations. To overcome memory allocation problem, we use another sampling policy in generation of LUT. Two different sampling policies along the longitudinal axis are proposed. The first sampling policy is based on uniform sampling of longitudinal axis. The second sampling policy is related to uniform sampling of \n
3D object = 3144 points; \n | \n||
---|---|---|
Number of 1D kernels | \nNMSE | \nMemory allocation (kB) | \n
83 | \n0.068 | \n332 | \n
92 | \n0.061 | \n368 | \n
103 | \n0.054 | \n412 | \n
118 | \n0.048 | \n472 | \n
137 | \n0.039 | \n548 | \n
165 | \n0.034 | \n660 | \n
206 | \n0.026 | \n824 | \n
274 | \n0.020 | \n1096 | \n
411 | \n0.014 | \n1644 | \n
821 | \n0.006 | \n3284 | \n
Performance of the proposed algorithm according to the number of kernels used in LUT, NMSE, and allocated memory space.
LUT is formed by uniform sampling of depth parameter along longitudinal axis. Each element in 1D kernels is represented by four bytes.
3D object = 3144 points; \n | \n||
---|---|---|
Number of 1D kernels | \nNMSE | \nMemory allocation (kB) | \n
83 | \n0.127 | \n332 | \n
92 | \n0.114 | \n368 | \n
103 | \n0.104 | \n412 | \n
118 | \n0.088 | \n472 | \n
137 | \n0.077 | \n548 | \n
165 | \n0.062 | \n660 | \n
206 | \n0.051 | \n824 | \n
274 | \n0.038 | \n1096 | \n
411 | \n0.025 | \n1644 | \n
821 | \n0.013 | \n3284 | \n
Performance of the proposed algorithm according to the number of kernels used in LUT, NMSE, and allocated memory space.
LUT is formed by uniform sampling of \n
In terms of calculated numerical errors, there should be a significant amount of deviation between reconstructed objects from CGHs obtained by standard and proposed method, but it is not easy to differentiate the reconstructions visually. Illustrations of numerically reconstructed objects by using both methods are shown in Figure 5a and b, respectively. To see the difference between to reconstructions, we subtract two reconstructions from each other and then take the magnitude of that difference. Then, we scale difference image linearly between 0 and 255 to improve the visibility of insignificant deviations. Those deviations can be seen in Figure 5c. Most of the deviations are in the unfocused region, and those deviations will not decrease the quality of the reconstruction. As a result of this, the proposed algorithm provides successful results.
\n(a) Magnitude of the reconstructed object at \n\nz\n=\n\nz\n0\n\n\n from the diffraction pattern calculated by standard algorithm and (b) by the proposed algorithm. (c) Magnitude of the difference between the reconstructed objects given in (a) and (b). Please note that image is scaled linearly from 0 to 255; thus the insignificant differences may become visible.
Performance assessment of the presented algorithm is tested by optical reconstructions as well. For that purpose, we assembled an optical setup which is shown in Figure 6. Green laser with \n
Assembled optical setup for optical experiments.
Optically reconstructed 3D objects: (a) hand (b) propeller.
Two major problems in H3DTV systems can be called as decreasing the computation time of CGH and improving the quality of the reconstructed object. Using fast algorithms in diffraction field calculations will be helpful to decrease the computation time, but most of those fast algorithms impose some approximations that decrease the quality of the reconstructed object. In this work, we propose a diffraction field calculation algorithm that paves the way to achieve real-time calculations of diffraction fields from point cloud objects. In the meantime, the quality of the reconstructed objects is improved by taking into account the pixelated structure of SLM. Also, the proposed method can be run in parallel on a GPU. Performed numerical and optical experiments provide similar results. The proposed method utilizes precomputed LUT to decrease the computational load. To store the precomputed LUT, we need significant amount of memory allocation, and optimization of the occupied memory space is obtained by having two different sampling policies along the longitudinal axis. In the first sampling policy, LUT is formed by having uniform sampling along longitudinal axis. In the second one, nonuniform sampling is applied. When we fix size of the LUT, better NMSE performance is obtained by uniform sampling policy. As a result of this, when we use uniform sampling policy in computation of LUT, we need to allocate less amount of memory to store it.
\nThis work was supported by the Scientific and Technological Research Council of Turkey project under grant EEEAG-112E220 and Marmara University Scientific Research Fund project under grant FEN-A-130515-0176.
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