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Discrete Conformal Shape Representation and Reconstruction of 3D Mesh Objects
 

Summary: Discrete Conformal Shape Representation and
Reconstruction of 3D Mesh Objects
Hongdong Li1,2
, Richard Hartley1,2
, and Hans Burkhardt3
1
Research School of Information Sciences and Engineering,
The Australian National University
2
ASSeT, Canberra Research Labs, National ICT Australia
3
University of Freiburg, Computer Science Department, Freiburg, Germany
Abstract. This paper studies shape representation of general 3D objects. In par-
ticular, 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 sim-
plify 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 improve-

  

Source: Albert-Ludwigs-Universität Freiburg, Institut für Informatik,, Lehrstuhls für Mustererkennung und Bildverarbeitung

 

Collections: Computer Technologies and Information Sciences