| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 441242 | Computer Aided Geometric Design | 2011 | 12 Pages |
Abstract
This paper presents a general approach for finding the limit curvature at a singular endpoint of a rational Bézier curve and the singular corner of a rational Bézier surface patch. Conditions for finite Gaussian and mean limit curvatures are expressed in terms of the rank of a matrix.
► Limit curvature at a singular endpoint of a rational Bézier curve. ► Limit curvature at singular corner of a rational Bézier surface patch. ► In general, limit curvature at a singular point is infinite. ► Conditions are presented for finite, unique limit curvature.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Thomas W. Sederberg, Hongwei Lin, Xin Li,