We construct two conical surfaces which take non-coplanar lines as generatrix and rational Bezier curve as ridge-line, and prove that the intersecting line of conical surface has similar properties to Bezier curve. Th...We construct two conical surfaces which take non-coplanar lines as generatrix and rational Bezier curve as ridge-line, and prove that the intersecting line of conical surface has similar properties to Bezier curve. Then, the smoothly blending of two cylinders whose axes are non-coplanar is realized by taking intersecting line of conical surface as axes.展开更多
The most difficult problem in surface intersection is to determinate all the initial tracing points. Collinear normal line is a power tool for solving this problem. A lemma about the existence of collinear normal line...The most difficult problem in surface intersection is to determinate all the initial tracing points. Collinear normal line is a power tool for solving this problem. A lemma about the existence of collinear normal line between two toil is presented, based on this lemma an algorithm for finding all the initial tracing points is implemented, numerical examples show that it is robust and efficient.展开更多
文摘We construct two conical surfaces which take non-coplanar lines as generatrix and rational Bezier curve as ridge-line, and prove that the intersecting line of conical surface has similar properties to Bezier curve. Then, the smoothly blending of two cylinders whose axes are non-coplanar is realized by taking intersecting line of conical surface as axes.
基金Supported by National Science and Technology Major Project(No.2013ZX04011031)
文摘The most difficult problem in surface intersection is to determinate all the initial tracing points. Collinear normal line is a power tool for solving this problem. A lemma about the existence of collinear normal line between two toil is presented, based on this lemma an algorithm for finding all the initial tracing points is implemented, numerical examples show that it is robust and efficient.
