1. Multi resolution Texture Synthesis on Surfaces
Arul Prakash Lavanya Tekumalla

2. Multi resolution Texture synthesis
Build image/mesh pyramid.
Assign color to each pixel/vertex by doing a neighborhood search in the texture image.
Neighborhood search: very expensive
TSVQ: Accelerates the search process by considering neighborhoods as points in a multi dimensional space and casting the neighborhood search process as a nearest point searching problem in a multi-dimensional space.

3. Texture synthesis on surfaces
Retiling
Sprinkle some new vertices onto the mesh
Space them uniformly over the mesh using point repulsion.
Remove old vertices and re-triangulate
Create a hierarchy of meshes
Neighborhood Construction:
flatten a set of nearby vertices
resample the flattened samples

4. References Re-Tiling Polygonal Surfaces, G Turk.
Generating Textures on Arbitrary Surfaces Using Reaction-Diffusion, G Turk.
Generating random points in triangles, G Turk
Texture Synthesis over Arbitrary Manifold Surfaces, Li-Yi Wei and Marc Levoy.
Fast Texture Synthesis using Tree-structured Vector Quantization,Li-Yi Wei and Marc Levoy.