A Refinement of Extracting Approximate Symmetry Planes Based on Least Square

• 作者: Hiroyuki Shioya Jun Mao
• 来源期刊: 电脑和通信(英文)
• 学科: 数学
• 关键词: APPROXIMATE SYMMETRY Plane 3D Point Set Least SQUARES
• 年，卷（期）: 2014,（4）
• 页码范围: 188-195
• 页数: 8页
• 分类号: O1

摘要

Extracting approximate symmetry planes is a challenge due to the difficulty of accurately measuring numerical values. Introducing the approximate symmetry planes of a 3D point set, this paper presents a new method by gathering normal vectors of potential of the planes, clustering the high probability ones, and then testing and verifying the planes. An experiment showed that the method is effective, robust and universal for extracting the complete approximate planes of symmetry of a random 3D point set.