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CGGC Seminar: 3D Surface Reconstruction Using A Generalized Distance Function
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Roi Poranne (Computer Science, Technion)
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Sunday, 7.3.2010, 13:00
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Room 337-8 Taub Bld.
3D scanning is the process of acquiring a digital copy of a physical object. A 3D scanner is used to sample points on the surface of the object (the so-called underlying surface) and acquire their Cartesian coordinates, after which a surface reconstruction algorithm is applied to generate a surface based on this sample set. We define a generalized distance function on an unoriented 3D point set and describe how it may be used to reconstruct a surface approximating these points. This distance function is shown to be a Mahalanobis distance in a higher-dimensional embedding space of the points, and the resulting reconstruction algorithm is a natural extension of the classical Radial Basis Function (RBF) approach. Experimental results show the superiority of our reconstruction algorithm to RBF and other methods in a variety of practical scenarios
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