“Efficient Update of Geometric Constraints in the Tapestry Evolving Mesh Representation” by Simmons, McMains and Séquin

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    Application

Title:

    Efficient Update of Geometric Constraints in the Tapestry Evolving Mesh Representation

Session/Category Title:   Meshes


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Abstract:


    This sketch describes the use of motion bounds to optimize the evolving mesh representation used by the Tapestry interactive rendering system. The tapestry dynamic display mesh is constrained to be a “spherical depth mesh” (i.e., its projection onto a sphere cen- tered at the viewpoint has no overlapping elements). The mesh vertices are projected onto a sphere centered at the viewpoint to determine the mesh topology during incremental insertion of new points. This makes the insertion more efficient by reducing the problem to 2D. A Delaunay condition is maintained on the projected mesh to produce a good-quality image reconstruction. In addition to the depth mesh and Delaunay properties, minimum projected edge length and minimum projected vertex-edge separa- tion constraints are maintained on the mesh to support a robust implementation. Here, we describe an efficient method for enforc- ing these constraints during view motion.

References:


    1. Simmons, M. & Séquin, C. H. (1999). Tapestry: A dynamic mesh-based display representation for interactive rendering. Proceedings of Eurographics Rendering Workshop, 1999.
    2. Simmons, M. (2001). Tapestry: An efficient mesh based display representation for interactive rendering. PhD thesis. University of California, Berkeley, May 2001.


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