Title
Shape control of Bézier surfaces with iso-parametric monotone curvature constraints
Abstract
This paper describes a sufficient condition of Monotone Iso-parametric Curvature Variation (MICV) for tensor product Bézier surfaces. The condition is a set of inequalities of the control points of the Bézier surface. Based on the MICV condition, a shape control method is presented to generate a MICV Bézier surface. The method is implemented as a nonlinearly constrained optimization problem subject to the MICV constrains. The optimal MICV surface is closest to the initial one in terms of the least square of the control points. Cases studies verify the effectiveness of the proposed method of shape control.
Year
DOI
Venue
2003
10.1016/S0167-8396(03)00080-3
Computer Aided Geometric Design
Keywords
DocType
Volume
Shape control,Bézier surface,Monotone iso-parametric curvature variation
Journal
20
Issue
ISSN
Citations 
6
0167-8396
1
PageRank 
References 
Authors
0.53
0
4
Name
Order
Citations
PageRank
Yulin Wang1101.36
Shuchun Wang2364.70
Luzou Zhang3101.36
Bingyan Zhao4123.88