이차 다항 곡면을 이용한 구의 근사방법

Abstract

Many reserchers focused their attention on the approximation of conic sections by Bezier curves and they described it in a recent paper how they can approximate a conic section in the form of Bezier curve. In this paper, we extend approximation method of conic section by Bezier curve to sphere case by polynomial surfaces and we analyze the Hausdorff distance between the sphere surface and the approximate quadratic polynomial surface. We also can obtain number of optimal bezier patch corresponding to any error bound for each cases. Our approximation surfaces are visualized using mathematical software.