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Fast Polyhedral Cell Sorting for Interactive Rendering of Unstructured Grids
Author(s) -
Comba João,
Klosowsk James T.,
Max Nelson,
Mitchell Joseph S. B.,
Silva Cláudio T.,
Williams Peter L.
Publication year - 1999
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.00357
Subject(s) - computer science , polygon mesh , regular polygon , rendering (computer graphics) , algorithm , computation , volume rendering , visualization , computer graphics (images) , artificial intelligence , mathematics , geometry
Direct volume rendering based on projective methods works by projecting, in visibility order, the polyhedral cells of a mesh onto the image plane, and incrementally compositing the cell’s color and opacity into the final image. Crucial to this method is the computation of a visibility ordering of the cells. If the mesh is “well‐behaved” (acyclic and convex), then the MPVO method of Williams provides a very fast sorting algorithm; however, this method only computes an approximate ordering in general datasets, resulting in visual artifacts when rendered. A recent method of Silva et al. removed the assumption that the mesh is convex, by means of a sweep algorithm used in conjunction with the MPVO method; their algorithm is substantially faster than previous exact methods for general meshes. In this paper we propose a new technique, which we call BSP‐XMPVO, which is based on a fast and simple way of using binary space partitions on the boundary elements of the mesh to augment the ordering produced by MPVO. Our results are shown to be orders of magnitude better than previous exact methods of sorting cells.

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