다항곡면을 이용한 반구근사

Abstract

It was described in a recent paper [7] by Floater, how one can approximate a conic section in the form of a rational quadratic Bézier curve, by polynomial parametric curves. Using this method, we obtain the approximation for circular arc of angular of more than by polynomial parametric curve of odd degree in this thesis. The approximation method can be extended to approximate the half sphere by polynomial surfaces, and the Hausdorff distance between these surfaces is analyzed. Our approximation surfaces are visualized using mathematical software.