Degree reduction of Bezier curves with restricted control points area

作者：Gospodarczyk Przemyslaw^*

来源：CAD Computer Aided Design, 2015, 62: 143-151.

DOI：10.1016/j.cad.2014.11.009

• Bezier curve
• Degree reduction
• Constrained least squares approximation

In this paper, we propose a new approach to the problem of degree reduction of Bezier curves with respect to the least squares norm. We impose restrictions of the control points area to get more intuitive location of the control points. As a result, the degree reduced curve is suitable for further modification and applications. We present and compare two methods of solving the new problem. First one is based on quadratic programming approach and the other on BVLS algorithm. Some illustrative examples are given.

• 出版日期2015-5