Markov Random Field Surface Reconstruction

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    Abstract

    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.
    Original languageEnglish
    JournalI E E E Transactions on Visualization and Computer Graphics
    Volume16
    Issue number4
    Pages (from-to)636-646
    ISSN1077-2626
    DOIs
    Publication statusPublished - 2010

    Bibliographical note

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    Keywords

    • Mesh Generation
    • Markov Random Field
    • Bayesian Approach
    • Surface Reconstruction
    • Implicit Surface

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