Degree Reduction Approximation Of Bézier Curves By Central Split-plot Algorithms

The degree reduction of parametric curves/surfaces is a key problem for Computer Aided Geometric Design (CAGD). It has not only important theory signification but also crucial application value. This dissertation presents our researches as follows.The development, difficulty and further trend on geometric modeling have been summarized. Existed algorithms of degree reduction on Bézier curves/surfaces . Using the geometric properties and algorithms for degree elevation of Bézier curves, a new algorithm is gave for Bézier curves based on the central split-plot algorithms, which has the virtues of uncomplicated and high precision and obvious geometric property.