On-Mesh Bilateral Filtering
Bridging the Gap Between Texture and Object Space
M. Bernevig (TU Delft - Electrical Engineering, Mathematics and Computer Science)
E. Eisemann – Mentor (TU Delft - Computer Graphics and Visualisation)
M.L. Molenaar – Mentor (TU Delft - Computer Graphics and Visualisation)
J. Sun – Graduation committee member (TU Delft - Pattern Recognition and Bioinformatics)
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Abstract
Traditional bilateral filters, effective in 2D image processing, often fail to account for the 3D structure of meshes, leading to artifacts in texture filtering. This thesis introduces On-Mesh Bilateral Filtering, a novel method that adapts the bilateral filter to work with non-contiguous texture mappings by incorporating 3D spatial distances and face adjacency information into the filtering process. The On-Mesh Bilateral Filter combines mesh surface sampling techniques with heat geodesic distance calculations to create a geometry-aware kernel that achieves more accurate and context-sensitive smoothing operations, respecting both the mesh topology and texture space properties. This paper hopes to encourage further research in the area of geometry-aware texture filters.