The nominal dimensions are easily extracted from the

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Unformatted text preview: lly a function of ||P−Q||. This is what applies, for instance, to the familiar homoscedastic, isotropic gaussian noise. 4.1. Structure of the experimental test Six simple invariant surfaces (the helix is neglected because is less relevant for the paper’s scope) are illustrated in Table II, with their characteristics. C1-Sphere C2-Cylinder C3-Plane C5-Cone C6-Prism C7-Complex C (20,30,40) R=50mm S=31416mm2 R=50mm H=100mm S=31416mm2 L=124mm H=70mm S=30572mm2 Rmin=40mm Rmax=70mm H=86mm S=31476mm2 H=96mm S=31402mm2 S=34253mm2 Table II; Surfaces analyzed in the experimental test Each surface listed in Table II has been uniformly sampled and the set of sampled points has been perturbed with a noise having a Normal distribution N(0;0,001). The original size of the sampled set is about two thousand points, but subsets of different size are randomly extracted and analyzed. 4.2. Results of the experimental test The paper focuses its analysis on classes of symmetry which have not been tested in other works. The analysis of spherical, cylindrical and complex surfaces, already tested in [Chiabert et al., 2001], is limited to a brief summary while major attention is reserved to planar, axi...
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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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