Degree Reduction of Disk Wang-Bézier Type Generalized Ball Curves

Publish Year: 1390
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JACR-3-1_004

تاریخ نمایه سازی: 16 شهریور 1395

Abstract:

A disk Wang-Bézier type generalized Ball curve is a Wang-Bézier type generalized Ball curve whose control points are disks in a plane. It can be viewed as a parametric curve with error tolerances. In this paper, we discuss the problem of degree reduction of disk Wang-Bézier type generalized Ball curve, that is, bounding disk Wang-Bézier type generalized Ball curves with lower degree disk Wang-Bézier type generalized Ball curves. We propose an algorithm to solve this problem. The algorithm starts by finding an optimal approximation to the center curve of the original disk Wang-Bézier type generalized Ball curve, which is served as the center curve of the degree reduced disk Wang-Bézier type generalized Ball curve. Then the radius of the degree reduced disk Wang-Bézier type generalized Ball curve is computed by solving some linear programming problems, and for which analytic solutions are obtained.

Keywords:

Wang-Bézier Type Generalized Ball Curve , Degree Reduction , Optimal , Approximation , Degree Elevation

Authors

Davood Bakhshesh

Department of Computer Science, University of Bojnord, Bojnord, Iran

Seyyed Abdol Hamid Esfahani

MA in Engineering and Faculty Member of Islamic Azad University, Qaenat Branch, Iran