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Mesh Simplification - Computer graphics

mesh Simplification Applications Oversampled 3D scan data ~150k triangles ~80k triangles 2. Applications Overtessellation: E. g iso iso-surface surface extraction 3. Applications Multi-resolution Multi resolution hierarchies for efficient geometry processing level-of-detail (LOD) rendering 4. Applications Adaptation to hardware capabilities 5. Size-Quality Size Quality Tradeoff error size 6. Problem Statement Given: Find: such that 1. and is minimal, or 2. and is minimal Respect additional fairness criteria normal deviation, triangle shape, scalar attributes, etc. 7. mesh Decimation Methods Vertex clustering Incremental decimation Resampling mesh approximation 8. Vertex Clustering Cluster Generation Computing p g a representative p mesh generation Topology changes 9. Vertex Clustering Cluster Generation Uniform 3D grid Map vertices to cluster cells Computing a representative mesh generation Topology changes 10. Vertex Clustering Cluster Generation Hierarchical approach Top-down or bottom-up Computing a representative mesh generation Topology changes 11.

Problem StatementProblem Statement • Given: • Find: such that 1. and is minimal, or 2. and is minimal

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