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2005 | OriginalPaper | Chapter
Discrete Conformal Shape Representation and Reconstruction of 3D Mesh Objects
Authors : Hongdong Li, Richard Hartley, Hans Burkhardt
Published in: Image Analysis and Processing – ICIAP 2005
Publisher: Springer Berlin Heidelberg
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This paper studies shape representation of general 3D objects. In particular, it proposes a conformal representation for genus-zero mesh objects, by using the discrete conformal mapping technique. It also proposes a new method to reconstruct the original shape from its conformal representation. In order to simplify and robustify the computation, we made several improvements to the above two procedures. The modifications include planar graph drawing initialization, Moebius factorization and spring-embedding-based reconstruction, etc. Though being mostly incremental, these modifications do provide significant improvements on previous methods. Possible applications include 3D geometry compression and object classification/recognition, etc.