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Texture Mapping by Model Pelting and Blending

Texture Mapping by Model Pelting and Blending. Deva Ramanan Hao Zhang. Texture mapping. Improve surface appearance Versatile: image map, displacement map, reflection map … Relative small amount of computation. (from Pixar shutterbug image series). Texture mapping (contd.).

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Texture Mapping by Model Pelting and Blending

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  1. Texture Mapping by Model Pelting and Blending Deva Ramanan Hao Zhang

  2. Texture mapping • Improve surface appearance • Versatile: image map, displacement map, reflection map … • Relative small amount of computation (from Pixar shutterbug image series)

  3. Texture mapping (contd.) • Requires “good” parameterization • Minimize distortion • Appears to be seamless

  4. Subdivision surfaces • One single mesh for any topology • Multiple NURBS patches • Maintain smoothness (static and animated) • (u,v)-parameterization • Tensor product B-Spline patches • Shapes of arbitrary topology • Cf. “Character animation” (SS98) (SS98)

  5. Texture mapping on subdivision surfaces • 3D Solid Textures • Multiple local textures • Blend overlapping regions at the seam • Goals (again): • Minimize distortion • Seam blending http://graphics.eecs.wsu.edu/apst/

  6. Texture coordinates • Linear interpolation [Stam98] • texture coords as local (u,v) parameterization • yields C1 interior and C0 cross-boundary • Catmull-Clark on scalar field • position (x,y,z)  position+texture (x,y,z,s,t) • subdivide in 5D • yields C2 interior and C1 on extra-ordinary points • needs texture coordinates on M0 (SS98)

  7. Texture mapping analogy: The pelt • Initial control mesh ~ rubber sheet • Stretch mesh to form a pelt • Paint texture on the pelt

  8. Pelting: The Cut • Cut: User specified connected tree of edges

  9. Pelting: Implementation • Approximate rubber sheet by a spring-mass system • Distortion measure: • Elastic energy • Scale invariance

  10. Simulate a spring-mass system • System evolves so as to minimize energy

  11. Blending Texture: Approach -Uo: Pelt Region • Split M0 into 2 overlapping regions: -U1: Patch Region • Use blend functions b0() & b1() along overlapping regions

  12. Example Patch C0 + C1 + C2 + C3= patch region

  13. Review: Domain of Control P A B C D • 2D Cubic B Splines: • Catmull/Clark surfaces: P

  14. Blend Function C0 • Pelt, Patch, and Overlapping Regions surrounding the Cut C1 C2 C3 C4 • b1= cubic B-spline • b0 = 1 - b1

  15. Results: Cool Pictures!

  16. Evaluation • Pelting: • Novel 3D Spring Mass implementation eliminates “buckling” [Maillot et al 93] • Seam blending: • Painted textures • Weaknesses: • Tiled/tesselated pattern • low polygon count meshes

  17. Conclusion • Ultimate goal: • Minimum distortion • texture coordinate control http://www.tfe.umu.se/courses/systemteknik/Multimed2/

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