Assistant Prof. at Al Muthanna University–Iraq. Interested in applied mathematics of computer-aided geometric design and its numerical analysis applications of 2D and 3D interpolating and approximating functions in image processing. Hold B.S, Mathematics, University of Al-Qadisiyah in (2007)–Iraq, M.Sc, Applied Mathematics, University Kufa (2009)–Iraq, and Ph.D, Numerical Anlysis, University Utara Malaysia (UUM)–Malaysia.
This chapter provides an overview at fitting parametric polynomials with control points coefficients. These polynomials have several properties, including flexibility and stability. Bézier, B-spline, Nurb, and Bézier trigonometric polynomials are the most significant of these kinds. These fitting polynomials are offered in two dimensions (2D) and three dimensions (3D). This type of polynomial is useful for enhancing mathematical methods and models in a variety of domains, the most significant of which being interpolation and approximation. The utilization of parametric polynomials minimizes the number of steps in the solution, particularly in programming, as well as the fact that polynomials are dependent on control points. This implies having more choices when dealing with the generated curves and surfaces in order to produce the most accurate results in terms of errors. Furthermore, in practical applications such as the manufacture of automobile exterior constructions and the design of surfaces in various types of buildings, this kind of polynomial has absolute preference.
Part of the book: Recent Research in Polynomials