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-1 Mb IIs

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

12. Applications Motion picture special effects Facial animation
Distorting facial features

13. References
Multiresolution Mesh Morphing Aaron Lee, David Dobkin, Wim Sweldens, Peter Schröder. Proceedings of SIGGRAPH 99. pp , 1999.
MAPS: Multiresolution Adaptive Parameterization of Surfaces
Aaron W. F. Lee, Wim Sweldens, Peter Schröder, Lawrence Cowsar, David Dobkin. Proceedings of SIGGRAPH 98. pp , 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.