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3D Object Morphing

3D Object Morphing. CS5245 Vision and Graphics for Special Effects. 3D Object Morphing. Metamorphosis Produce a sequence of intermediate objects that evolve from one to the other Properties Preserve topology, feature, & rigidity User control Provide correspondence information.

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3D Object Morphing

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  1. 3D Object Morphing CS5245 Vision and Graphics for Special Effects

  2. 3D Object Morphing Metamorphosis • Produce a sequence of intermediate objects that evolve from one to the other Properties • Preserve topology, feature, & rigidity User control • Provide correspondence information

  3. 3D Object Morphing Basic Idea • Determine correspondence. • Move points to corresponding position. 1 4 1 2 7 7 2 5 3 4 5 7 3 6 6

  4. 3D Object Morphing • Correspondence can be arbitrarily defined. • Want to avoid “edge crossing”. • Intro demo:morphing planar graphs 1 1 6 2 7 7 2 5 3 4 5 7 3 4 6 http://gmorph.cs.arizona.edu/socg.html

  5. Main Approaches morph Target object Source object Object Representations • Volume-base approach • Boundary representative-based approach

  6. Volume-based Approach Cohen-Or, Levin, Solomovoci.Three-dimensional distance field metamorphosis.ACM Trans. Graphics 17: 116-141. http://www.math.tau.ac.il/~levin/ Two main stages: • Warp: deform the 3D space to make the two objects coincide as much as possible • Interpolation: Linear interpolate distance fields deformed by the warp

  7. Volume-based Approach

  8. Volume-based Approach

  9. B-rep-based Approach Gregory, State, Lin, Manocha and Livingston.Interactive surface decomposition for polyhedral morphing. The Visual Computer, 15, 1999, 453-470. http://gamma.cs.unc.edu/3DMORPHING/ Two main stages: • Correspondence: map each vertex in source to a vertex in target • Interpolation: move a vertex to its corresponding vertex

  10. B-rep-based Approach Main Steps: • User specify corresponding features. • Determine corresponding feature nets. • Decompose objects into morphing patches. • Map morphing patches to regular 2D polygons. • Merge corresponding morphing patches. • Reconstruct objects. • Interpolate objects.

  11. B-rep-based Approach User specify corresponding features.

  12. B-rep-based Approach Determine corresponding feature nets.

  13. B-rep-based Approach Decompose objects into morphing patches.

  14. B-rep-based Approach Map morphing patches to regular 2D polygons.

  15. B-rep-based Approach Merge corresponding morphing patches represented by 2D regular polygons.

  16. B-rep-based Approach Triangulatemerged patches and reconstruct objects.

  17. B-rep-based Approach Reconstructed objects: Has one-to-one correspondence between vertices

  18. B-rep-based Approach Interpolate objects:computemorphingtrajectories.

  19. B-rep-based Approach Interpolate objects: interpolate vertex colors, lighting coefficients, normal vectors, etc. Demo:

  20. Component-based Approach morph decompose combine Source object Target object Object = a collection of meaningful simpler parts (boundary representation), or components

  21. Component-based Approach Zhao, Ong, Tan and Xiao. Interactive control of component-based morphing. Proc. Symp. Computer Animation, 2003. Decomposition • decompose objects into parts Correspondence • map each vertex in source to a vertex in target Interpolation • move a vertex to its corresponding vertex

  22. Component-based Approach Demo: http://www.comp.nus.edu.sg/~tants/morphing.html

  23. Related Topics • A Morphable Model for the Synthesis of 3D Faces By Blanz and Vetter, SIGGRAPH 1999 http://gravis.cs.unibas.ch/publications/Sigg99/siggraph99.mpg

  24. _ ) ( ... 1 + + + = n Related Topics • Consistent Mesh Parameterizations Praun, Sweldens and Schrode, SIGGRAPH 2001

  25. Related Topics Detour…. • Cross-parameterizaion and Compatible Remeshing of 3D Models Kraevoy and Sheffer, SIGGRAPH 2004

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