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Erschienen in:
2006 | OriginalPaper | Buchkapitel
Quadric Surface Extraction by Variational Shape Approximation
verfasst von : Dong-Ming Yan, Yang Liu, Wenping Wang
Erschienen in: Geometric Modeling and Processing - GMP 2006
Verlag: Springer Berlin Heidelberg
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Based on Lloyd iteration, we present a variational method for extracting general quadric surfaces from a 3D mesh surface. This work extends the previous variational methods that extract only planes or special types of quadrics, i.e., spheres and circular cylinders. Instead of using the exact
L
2
error metric, we use a new approximate
L
2
error metric to make our method more efficient for computing with general quadrics. Furthermore, a method based on graph cut is proposed to smooth irregular boundary curves between segmented regions, which greatly improves the final results.