A Distance Function Based Approach for Localization and Profile Error Evaluation of Complex Surface
Author:
Zhu LiMin1, Xiong ZhenHua1, Ding Han1, Xiong YouLun2
Affiliation:
1. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200030, P.R.China 2. School of Mechanical Science & Engineering, Huazhong University of Science & Technology, Wuhan 430074, P.R.China
Abstract
This paper presents a unified framework for best-fitting of complex rigid surface to measured 3-D coordinate data by adjusting its location (position/orientation). For a point expressed in the machine reference frame and a nominal surface represented in its own model frame, a signed point-to-surface distance function is defined, and its properties are investigated, especially, its increment with respect to the differential motion of the surface, up to the second order, is derived. On this basis, localization and profile error evaluation of complex surface are formulated as a nonlinear least-squares problem and nonlinear constrained optimization problem respectively, and sequential approximation algorithms are developed to solve them. The two algorithms have the advantages of implementational simplicity, computational efficiency and robustness. Also strategies for estimating initial solution and compensating probe radius are presented. Examples confirm the validity of the proposed approach.
Publisher
ASME International
Subject
Industrial and Manufacturing Engineering,Computer Science Applications,Mechanical Engineering,Control and Systems Engineering
Reference43 articles.
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