Efficient Construction of B-Spline Curves with Minimal Internal Energy

• 作者: Bojian Li Gang Xu Guozhao Wang Kin-chuen Hui Lishan Deng Yufan Zhu
• 来源期刊: 计算机、材料和连续体(英文)
• 学科: 数学
• 关键词: MINIMAL energy B-SPLINE CURVES geometric CONSTRUCTION discrete MASK method SPARSE linear system.
• 年，卷（期）: 2019,（3）
• 页码范围: 879-892
• 页数: 14页
• 分类号: O17

摘要

In this paper,we propose an efficient method to construct energy-minimizing B-spline curves by using discrete mask method.The linear relations between control points are firstly derived for different energy-minimization problems,then the construction of B-spline curve with minimal internal energy can be addressed by solving a sparse linear system.The existence and uniqueness of the solution for the linear system are also proved.Experimental results show the efficiency of the proposed approach,and its application in 1 G blending curve construction is also presented.