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# 3-D Mesh Morphing

3-D Mesh Morphing. By Newton Der. Overview. Volume vs. Mesh Morphing Algorithm Applications. Volume Morphing. Voxel: the cubic unit of volume Volumetric data set: a collection of voxels Independent of topology of model Generate in-between volumes with an interpolation function:.

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## 3-D Mesh Morphing

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1. 3-D Mesh Morphing By Newton Der

2. Overview • Volume vs. Mesh Morphing • Algorithm • Applications

3. Volume Morphing • Voxel: the cubic unit of volume • Volumetric data set: a collection of voxels • Independent of topology of model • Generate in-between volumes with an interpolation function:

4. Mesh Morphing • Triangle: polygonal surface formed by three vertices • Mesh: a collection of triangles • Interpolate in-between meshes • Typically done based on user-selected feature points • Dependent on topology of model

5. Multiresolution Meshes • Reduce overhead by view-dependent resolution • Maintain model at different levels of detail • Varying detail in different parts of model

6. Mesh Morphing Algorithm • Specify pairs of feature points between source mesh S and target mesh T

7. Multiresolution Adaptive Parameterization of Surfaces • Use MAPS to construct base domains Sb and Tb

8. Multiresolution Adaptive Parameterization of Surfaces • Mesh simplification • Remove vertices and retriangulate edges

9. Correspondence Maps • Compute correspondence maps: • IIs: SSb • IIT: TTb • Mb : IIsIIT • M = IIT-1MbIIs

10. Morph the Meshes • Metamesh: an in-between mesh that combines triangles from source and target

11. Applications • Motion picture special effects • Facial animation • Distorting facial features

12. References • Multiresolution Mesh MorphingAaron Lee, David Dobkin, Wim Sweldens, Peter Schröder. Proceedings of SIGGRAPH 99. pp. 343-350, 1999. • MAPS: Multiresolution Adaptive Parameterization of Surfaces Aaron W. F. Lee, Wim Sweldens, Peter Schröder, Lawrence Cowsar, David Dobkin. Proceedings of SIGGRAPH 98. pp. 95-104, 1998. • Multiresolution Interpolation Meshes Takashi Michikawa, Takashi Kanai, Masahiro Fujita, Hiroaki Chiyokura. Proc. 9th Pacific Graphics International Conference (Pacific Graphics 2001), pp.60-69, IEEE CS Press, Los Alamitos, CA, October 2001.

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