An exact minimum zone solution for sphericity evaluation

✍ Scribed by Jyunping Huang

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 133 KB
• Volume: 31
• Category: Article
• ISSN: 0010-4485
• DOI: 10.1016/s0010-4485(99)00072-x

✦ Synopsis

Two theorems giving the exact minimum zone solution for sphericity evaluation are developed in this paper. These theorems build upon the 3D Voronoi diagrams to show that the exact sphericity is feasible using the max regions. The max region is a space bound by 3D Voronoi diagrams that the concentric circumscribed and inscribed spheres to the measured point set are determined by two control points of the max region. The first theorem shows that the exact minimum sphericity can be obtained only at an X-type vertex in the max region. Theorem 2 indicates that the minimum sphericity is determined by a small number of measured points that gives an efficient way to solve the minimum zone solution.