Partial derivatives of rational Bézier surfaces
暂无分享,去创建一个
Abstract A rational surface is the locus of a rational curve that is moving through space and thereby changing its shape by changing its control points and weights. This intuitive definition can be used to derive hodographs of rational Bezier surfaces and their bounds of magnitude.
[1] Michael S. Floater,et al. Derivatives of rational Bézier curves , 1992, Comput. Aided Geom. Des..
[2] Xuguang Wang,et al. Rational hodographs , 1987, Comput. Aided Geom. Des..
[3] Gerald Farin,et al. Curves and surfaces for computer aided geometric design , 1990 .
[4] Thomas W. Sederberg,et al. Hodographs and normals of rational curves and surfaces , 1995, Comput. Aided Geom. Des..