Quality evaluation and optimization of freeform surface

Bin Zhang; Changcai Cui; Gengpei Zhang

doi:10.1117/12.819766

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31 December 2008 Quality evaluation and optimization of freeform surface

Bin Zhang, Changcai Cui, Gengpei Zhang

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Proceedings Volume 7130, Fourth International Symposium on Precision Mechanical Measurements; 71305Q (2008) https://doi.org/10.1117/12.819766
Event: Fourth International Symposium on Precision Mechanical Measurements, 2008, Anhui, China

Abstract

Freeform surface is very common in the shape design of industry products. Its quality is a key to reverse engineering. It is mainly evaluated from the precision and fairness which are studied. First the precision optimization is carried out by two steps: rough modification and fine adjustment according to the Least squares-based evaluation technique through control points repositioning and weight points adjusting respectively. Second the fairness which contradicts the precision is optimized form two aspects of local fairness and global fairness. In order to satisfy local fairness bad points are adjusted first and then for the global fairness a technique based on Wavelet theory is adopted. Finally, a computation program is developed with Visual C++ & OpenGL and some examples are dealt with by the methods. The results verify that the proposed methods are valid.

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Bin Zhang, Changcai Cui, and Gengpei Zhang "Quality evaluation and optimization of freeform surface", Proc. SPIE 7130, Fourth International Symposium on Precision Mechanical Measurements, 71305Q (31 December 2008); https://doi.org/10.1117/12.819766

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