Increasing the flexibility and application of the B - spline curve

Abstract

One of the main tasks of geometrical modeling 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 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.

Keywords: b-spline model, knot vector, control polygon, Bezier curve, multiple knot.