Volumetric modeling with diffusion surfaces

Kenshi Takayama, Olga Sorkine, Andrew Nealen, Takeo Igarashi

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    The modeling of volumetric objects is still a difficult problem. Solid texture synthesis methods enable the design of volumes with homogeneous textures, but global features such as smoothly varying colors seen in vegetables and fruits are difficult to model. In this paper, we propose a representation called diffusion surfaces (DSs) to enable modeling such objects. DSs consist of 3D surfaces with colors defined on both sides, such that the interior colors in the volume are obtained by diffusing colors from nearby surfaces. A straightforward way to compute color diffusion is to solve a volumetric Poisson equation with the colors of the DSs as boundary conditions, but it requires expensive volumetric meshing which is not appropriate for interactive modeling. We therefore propose to interpolate colors only locally at user-defined cross-sections using a modified version of the positive mean value coordinates algorithm to avoid volumetric meshing. DSs are generally applicable to model many different kinds of objects with internal structures. As a case study, we present a simple sketch-based interface for modeling objects with rotational symmetries that can also generate random variations of models. We demonstrate the effectiveness of our approach through various DSs models with simple non-photorealistic rendering techniques enabled by DSs.

    Original languageEnglish (US)
    Title of host publicationProceedings of ACM SIGGRAPH Asia 2010, SIGGRAPH Asia 2010
    Volume29
    Edition6
    DOIs
    StatePublished - 2010
    EventACM SIGGRAPH Asia 2010, SIGGRAPH Asia 2010 - Seoul, Korea, Republic of
    Duration: Dec 15 2010Dec 18 2010

    Other

    OtherACM SIGGRAPH Asia 2010, SIGGRAPH Asia 2010
    CountryKorea, Republic of
    CitySeoul
    Period12/15/1012/18/10

    Fingerprint

    Surface diffusion
    Color
    Textures
    Poisson equation
    Vegetables
    Fruits
    Boundary conditions

    Keywords

    • color diffusion
    • sketching interface
    • volumetric modeling

    ASJC Scopus subject areas

    • Computer Graphics and Computer-Aided Design

    Cite this

    Takayama, K., Sorkine, O., Nealen, A., & Igarashi, T. (2010). Volumetric modeling with diffusion surfaces. In Proceedings of ACM SIGGRAPH Asia 2010, SIGGRAPH Asia 2010 (6 ed., Vol. 29). [1866202] https://doi.org/10.1145/1866158.1866202

    Volumetric modeling with diffusion surfaces. / Takayama, Kenshi; Sorkine, Olga; Nealen, Andrew; Igarashi, Takeo.

    Proceedings of ACM SIGGRAPH Asia 2010, SIGGRAPH Asia 2010. Vol. 29 6. ed. 2010. 1866202.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Takayama, K, Sorkine, O, Nealen, A & Igarashi, T 2010, Volumetric modeling with diffusion surfaces. in Proceedings of ACM SIGGRAPH Asia 2010, SIGGRAPH Asia 2010. 6 edn, vol. 29, 1866202, ACM SIGGRAPH Asia 2010, SIGGRAPH Asia 2010, Seoul, Korea, Republic of, 12/15/10. https://doi.org/10.1145/1866158.1866202
    Takayama K, Sorkine O, Nealen A, Igarashi T. Volumetric modeling with diffusion surfaces. In Proceedings of ACM SIGGRAPH Asia 2010, SIGGRAPH Asia 2010. 6 ed. Vol. 29. 2010. 1866202 https://doi.org/10.1145/1866158.1866202
    Takayama, Kenshi ; Sorkine, Olga ; Nealen, Andrew ; Igarashi, Takeo. / Volumetric modeling with diffusion surfaces. Proceedings of ACM SIGGRAPH Asia 2010, SIGGRAPH Asia 2010. Vol. 29 6. ed. 2010.
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