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Advances in Tubular Neighborhood Compression and Geometry Encoding Techniques

This paper presents a comprehensive method for simplicial isosurface compression, focusing on uniform neighborhood compression and stellar operations. The work explores vertex signs and adaptive neighborhood compression, detailing the control of topology and distortion. By utilizing regular and irregular base data, the method provides refinements for geometry encoding and prediction. The results demonstrate effective arithmetic encoding with context-specific strategies, paving the way for advancements in image decoding and topology characterization. This research was showcased at the 9th International Fall Workshop on Vision, Modeling, and Visualization in 2004.

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Advances in Tubular Neighborhood Compression and Geometry Encoding Techniques

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  1. Thomas Lewiner Luiz Velho Hélio Lopes Vinícius Mello PUC-Rio de JaneiroINRIA - Sophia Antipolis IMPA - Rio de Janeiro PUC-Rio de Janeiro IMPA - Rio de Janeiro Simplicial Isosurface Compression Regular Binary Multi-Triangulation Base Level Compression Encoding only the tubularneighbourhood : Uniform neighbourhood compression Stellar Operations : Vertex signs: - - + + + + + + - - - - + + - + (2 known vertices) - + - Location: level 4,up, Left, Right, L, R. First triangle: - - + Traversal along the tubularneighbourhood : Adaptive neighbourhood compression Vertex levels and signs > - = - < = + > - > + > - = - < + Vertex levels and signs > - = (known) = + > - > + > - = - < + Location: level 5,down, L R L L L. First triangle: - + + Loc: 5, down, L L L L L. First: - + + Regular Base Data Irregular Base Data Topology Control Progressive Refinements Adaptive neighbourhood compression Topology Characterization : Tubularneighbourhood extensions: Original Image Decodingrefinementsof the RBMT Multi-component using decoded information No Control Decoding of the signs of the new close vertices. Final geometry encoding with prediction Original Model No Control Topology Control Topology Control Distortion Control Results Arithmetic encoding with context and prediction : Distortion Approximation : No Control Original Image No Control Original Model Adaptive Refinements with geometry Curvature Control Distortion Control Uniform Refinements Distortion Control 9th International Fall Workshop VISION, MODELING, AND VISUALIZATION 2004 November 16 - 18, 2004Stanford (California), USA

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