| TR#: | CS0655 |
| Class: | CS |
| Title: | MANAGING THE SHAPE OF PLANAR SPLINES BY THEIR CONTROL 'POLYGONS |
| Authors: | E. antorowitz and Y. Schechner |
| CS0655.pdf | |
| Abstract: | A practical formulation of the shape preservation theprem is presented. It states how to position the control pOInts to obtain a prescribed curve shape and avoid shape anomalities. The concept of hyper convex polygons is introduced. These polygons may be intersected by straight lines at three points, and are therefore not covered by previous versions of the theorem. The extended theorem addresses all possible control point configurations, and is proved for important classes of planar B- and Beta2-splines. planar spline, Bezier , B-spline, Beta-spline, rational spline, shape, convex, hyper convex, inflection, anomalities, interactive design |
| Copyright | The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information |
Remark: Any link to this technical report should be to this page (http://www.cs.technion.ac.il/users/wwwb/cgi-bin/tr-info.cgi/1990/CS/CS0655), rather than to the URL of the PDF files directly. The latter URLs may change without notice.
To the list of the CS technical reports of 1990
To the main CS technical reports page