Shape Transformation for Cubic Parametric Curves

Abstract

Techniques that transform one polygon to another have been gained considerable interest in recent years. Extending these techniques, this paper addresses the problem of shape transformation between two given shapes, both of which are represented by piecewise Bezier curves. In order to achieve visual pleasantness, a new transformation method based on Hermite-form representation is proposed to blend two Bezier segments. Unlike the traditional vertex-to-vertex matching strategy, we use the dynamic programming to match the similar segments between two sets of piecewise curves. Some experimental results are given to demonstrate the quality of proposed algorithm.