Shape Mapping
Mapping between orientable surfaces
Mapping between surfaces is an important step for
shape transformation, texture mapping, and shape design.
For example,
a homeomorphism between the shape surface and the image must be
established so that the mapped texture is wrinkle-free.
Mapping methods are known for simple cases such as polygons and spheres.
However, more general cases (e.g., sphere with multiple handles)
have remained as an open problem.
We address this issue by classifying loops on the surface
based on the fundamental group together with geometric algorithms.
- On cutting a torus,
K. Fujimura, to appear in
International Conference on Shape Modeling and Applications, 1997.
Go back to shape modeling research page.