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- W1520787555 abstract "One of the main tasks of geometrical modelling is to find ways of designing and representing freeform curves and surfaces. One of well-known geometric modeling tools in computer aided geometric design are B-spline curves and surfaces. B-spline is smooth in parts of polynomial functions with reduced smoothness. In this article we will give ways of increasing the flexibility of the B - spline curve as well as its applications together with associated examples made using the program package Wolfram Mathematica 8. 1. Introductioncurve is a sequence of curve segments that are connected together to form a single continuous curve. B-spline curve addresses problems with the Bezier curve. It provides the most powerful and useful approach to curve design available today. Freeform curves and surfaces have very broad application. Thus, Bezier-curves are used to draw the path of motion of a point (object). In 3D animations, these curves are used to determine the three-dimensional path and two-dimensional curve for interpretation of key segments. B -splines are used for modeling animation characters for the purposes of modeling animated movies and True Type fonts, as illustrated in this article. B spline models were first mentioned by Schoenberg (19). Initially, the practical application of B-spline curves and surfaces was limited by the instability of the algorithms for their calculation. This setback was resolved by Cox and de Boor (6) who proposed algorithm for numerical computation based on recursive template. Then, Reisenfeld (19) revealed that B-spline is a powerful tool for representing free-form shapes and applied B spline base for curves definitions." @default.
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- W1520787555 date "2014-06-03" @default.
- W1520787555 modified "2023-09-27" @default.
- W1520787555 title "INCREASING THE FLEXIBILITY AND APPLICATION OF THE B- SPLINE CURVE" @default.
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