| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 441332 | Computer Aided Geometric Design | 2008 | 6 Pages |
Abstract
The Class A Bézier curves presented in Farin (2006) were constructed by so-called Class A matrix, which are special matrices satisfying two appropriate conditions. The speciality of the Class A matrix causes the Class A Bézier to possess two properties, which are sufficient conditions for the proof of the curvature and torsion monotonicity. In this paper, we discover that, in Farin (2006), the conditions Class A matrix satisfied cannot guarantee one of the two properties of the Class A Bézier curves, then the proof of the curvature and torsion monotonicity becomes incomplete. Furthermore, we modified the conditions for the Class A matrices to complete the proof.
Related Topics
Physical Sciences and Engineering
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Computer Graphics and Computer-Aided Design
