A Computational Geometry Approach to Minimum Zone Evaluation of Straightness
Journal
Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Journal Volume
14
Journal Issue
5
Pages
463-470
Date Issued
1991
Author(s)
Abstract
Abstract Straightness, defined by minimum separating parallel lines, was usually evaluated by means of the least squares method or optimization techniques. A new approach which can uniquely determine straightness from measured data based on geometrical considerations has been proposed by the authors previously. The idea of the approach is elaborated, and a sound mathematical background is given in the paper so that similar approaches to estimating other geometrical tolerances can be developed. The concept of a geometrical EigenPolyGon (EPG) model is described, and the relationship between the EPG and straightness is derived. The computer algorithms to construct EPG and then to calculate straightness are also proposed. Finally, the developed approach is verified through the use of some sampled measurements. Key words: minimum zonestraightness Notes Correspondence addressee
Type
journal article