My Research Paper (2009) - Abstract

There are several methods for approximating an unknown value within particular interval, one of them is through the interpolation method

In this research, the interpolation method applied to find a new points value within B-Spline curve and surface production which from several control points

In the curve production, interpolation used together with Basis Bernstein Polynomial algorithm to find some basis value which have 1 parameter (u), and made polynomial function y=f(u) in three degrees. This function then will be used to finding new points around 4 control points which had input before it.

In the surface production, interpolation used together with Cox de Boor algorithm to find basis value which have 2 parameter (u, v), and knot vector between 0 and 1, and then will be produced polynomial function y=f(u, v) in three degrees. This function then will be used to get knot points among shaped segment and 16 control points which had input before it.

Overall from the implementation of B-Spline curve and surface, the interpolation method quite successfully to produce new points. That was because the curvature of B-Spline curve and surface which have shaped very smooth.

Keyword : Bernstein Polynomial, Cox de Boor, B-Spline. Knot Vector