Spherical Bezier curve based on corner cutting
The classical de Casteljau algorithm for constructing Bézier curves can be generalized to sphere of arbitrary dimension by replacing line segments with shortest great circle arcs. The resulting spherical Bézier curve is C and interpolates the endpoints of its control polygons. In this paper, a new method is proposed to construct spherical Bézier curves, which extends corner cutting method, introduced by Lane-Riesenfeld to sphere. The final curve created by this method converges to spherical Bézier curves named corner cutting spherical Bézier curves. The necessary and sufficient condition of G1 continuity for two spherical Bézier curves is presented. Finally, as a by-product geodesic can be created on free-form surfaces with presented approach.
CAD/CAM Bezier curve de Casteljau method corner cutting sphere geodesics
Yunping Li Yuehong Tang Laishui Zhou Yuehong Tang
College of Engineering Nanjing University of Aeronautics & Astronautics Nanjing, Jiang Su Province 2 College of Natural Science Nanjing University of Aeronautics & Astronautics Nanjing, Jiang Su Provin
国际会议
浙江义乌
英文
1500-1503
2010-11-17（万方平台首次上网日期，不代表论文的发表时间）