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Green Image
Issue No. 04 - July/August (2010 vol. 16)
ISSN: 1077-2626
pp: 636-646
Rasmus R. Paulsen , Technical University of Denmark, Lyngby
Jakob Andreas Bærentzen , Technical University of Denmark, Lyngby
Rasmus Larsen , Technical University of Denmark, Lyngby
A method for implicit surface reconstruction is proposed. The novelty in this paper is the adaption of Markov Random Field regularization of a distance field. The Markov Random Field formulation allows us to integrate both knowledge about the type of surface we wish to reconstruct (the prior) and knowledge about data (the observation model) in an orthogonal fashion. Local models that account for both scene-specific knowledge and physical properties of the scanning device are described. Furthermore, how the optimal distance field can be computed is demonstrated using conjugate gradients, sparse Cholesky factorization, and a multiscale iterative optimization scheme. The method is demonstrated on a set of scanned human heads and, both in terms of accuracy and the ability to close holes, the proposed method is shown to have similar or superior performance when compared to current state-of-the-art algorithms.
Bayesian approach, implicit surface, Markov random field, mesh generation, surface reconstruction.

R. Larsen, R. R. Paulsen and J. A. Bærentzen, "Markov Random Field Surface Reconstruction," in IEEE Transactions on Visualization & Computer Graphics, vol. 16, no. , pp. 636-646, 2009.
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