Shape modification of Bézier curves by constrained optimization

• Published in: Journal of Zhejiang University. A. Science Vol. 6; no. B08; pp. 124 - 127
• Main Author: 吴庆标 夏飞海
• Format: Journal Article
• Language: English
• Published: 2005
• Subjects: Bézier曲线; 形状修正; 约束优化; 计算机制图
• ISSN: 1673-565X; 1862-1775

The Bézier curve is one of the most commonly used parametric curves in CAGD and Computer Graphics and has many good properties for shape design. Developing more convenient techniques for designing and modifying Bézier curve is an important problem, and is also an important research issue in CAD/CAM and NC technology fields. This work investigates the optimal shape modification of Bézier curves by geometric constraints. This paper presents a new method by constrained optimization based on changing the control points of the curves. By this method, the authors modify control points of the original Bézier curves to satisfy the given constraints and modify the shape of the curves optimally. Practical examples are also given.