Regularisation of 3D Signed Distance Fields

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    Abstract

    Signed 3D distance fields are used a in a variety of domains. From shape modelling to surface registration. They are typically computed based on sampled point sets. If the input point set contains holes, the behaviour of the zero-level surface of the distance field is not well defined. In this paper, a novel regularisation approach is described. It is based on energy formulation, where both local smoothness and data fidelity are included. The minimisation of the global energy is shown to be the solution of a large set of linear equations. The solution to the linear system is found by sparse Cholesky factorisation. It is demonstrated that the zero-level surface will act as a membrane after the proposed regularisation. This effectively closes holes in a predictable way. Finally, the performance of the method is tested with a set of synthetic point clouds of increasing complexity.
    Original languageEnglish
    Title of host publicationProceedings of the 16th Scandinavian Conference on Image Analysis
    Volume5575
    PublisherSpringer
    Publication date2009
    Pages513-519
    ISBN (Print)978-3-642-02229-6
    DOIs
    Publication statusPublished - 2009
    Event16th Scandinavian Conference on Image Analysis (SCIA) - Oslo, Norway
    Duration: 15 Jun 200918 Jun 2009
    http://www.scia2009.org/

    Conference

    Conference16th Scandinavian Conference on Image Analysis (SCIA)
    CountryNorway
    CityOslo
    Period15/06/200918/06/2009
    Internet address
    SeriesLecture Notes in Computer Science

    Cite this

    Paulsen, R. R., Bærentzen, J. A., & Larsen, R. (2009). Regularisation of 3D Signed Distance Fields. In Proceedings of the 16th Scandinavian Conference on Image Analysis (Vol. 5575, pp. 513-519). Springer. Lecture Notes in Computer Science https://doi.org/10.1007/978-3-642-02230-2