The Progressive-iterative Approximation Property of Low Degree Non-uniform Triangular Bernstein-Bezier Patches

摘要：

Progressive-iterative approximation presents an intuitive way to generate a sequence of curves or patches, whose limit interpolates the given data points. It has been shown that the blending curves and tensor product blending patches with normalized totally positive basis have the progressive-iterative approximation property. In this paper, we prove that, the quadratic, cubic, and quartic non-uniform triangular Bernstein-Bezier patches also have the progressive-iterative approximation property. Since the most often empolyed in geometric design are the low degree curves or patches, especially the cubic curves and patches, the result shown in this paper has practical significance for geometric design.

关键词： Progressive-iterative approximation convergence data fitting triangular Bernstein-Bezier patch geometric design

会议类型: 国际会议

会议名称: 2011国际计算机辅助设计与图形学学术会议(CAD/Graphics 2011)

会议地点: 济南

会议语种:英文

页码: 1-7

在线出版日期: 2011-09-15（万方平台首次上网日期，不代表论文的发表时间）