✦ LIBER ✦

Shape control of Bézier surfaces with iso-parametric monotone curvature constraints

✍ Scribed by Yulin Wang; Shuchun Wang; Luzou Zhang; Bingyan Zhao

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 271 KB
Volume: 20
Category: Article
ISSN: 0167-8396
DOI: 10.1016/s0167-8396(03)00080-3

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Multi-degree reduction of triangular Béz

Multi-degree reduction of triangular Bézier surfaces with boundary constraints

✍ Lizheng Lu; Guozhao Wang 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 1014 KB

Given a triangular Bézier surface of degree n, the problem of multi-degree reduction by a triangular Bézier surface of degree m with boundary constraints is investigated. This paper considers the continuity of triangular Bézier surfaces at the three corners, so that the boundary curves preserve endp