M by applying a homogeneous coordinate transformation

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Unformatted text preview: the ISO standards that define the form tolerance by means of a tolerance zone within which the feature is to be contained. However, this kind of algorithms is very sensitive to asperities (such that caused by measure errors), while the methods minimizing an objective function are much less sensitive to asperities and mathematically well found, [Yau et al., 1996; Choi et al., 1999]. A very interesting algorithm was proposed by Yau and Menq [Yau et al. 1996]. Instead of computing the substitute geometric feature, the method inversely transforms the measured data such that the sum of the squared distances of the transformed points from the nominal geometry is minimized. The authors used a sensitivity matrix to relate transformation errors to dimensional errors. Chiabert proposed a practical methodology for the statistical recognition of 3D shapes from sparse measurements, extending the ISO/TC classification of 3D objects based on their symmetry to probability density functions so as to include the measu...
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This note was uploaded on 08/03/2010 for the course DD 1234 taught by Professor Zczxc during the Spring '10 term at Magnolia Bible.

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