Another Fine Mesh
Too Many Triangles
In most triangle-mesh representations of curved surfaces, the triangle vertices lie on the surface. This sketch showed that, by relaxing this condition, the error of approximation can be halved.
Department of Computer Science
University of Otago
Dunedin, New Zealand
Multiresolution of Arbitrary Triangular Meshes
A new method for multiresolution analysis of arbitrary triangular meshes using a new general subdivision scheme and a new type of wavelets based on the resulting subdivision trees.
Texas Institute of Computational and Applied Mathematics
and Department of Computer Sciences
The University of Texas at Austin
Austin, Texas 78712 USA
Geometric Reconstruction with Anisotropic Alpha-Shapes
Two extensions (anisotropic scaling and density scaling) to alleviate problems with anisotropic alpha-shapes and allow reconstruction from a larger class of point sets.
MIT Lab for Computer Science
545 Technology Square, NE43-242
Cambridge, Massachusetts 02139 USA
Converting Sets of Polygons to Manifold Surfaces by Cutting and Stitching
Many real-world polygonal surfaces contain topological singularities (edges shared by more than two triangles, several triangle fans incident to a single vertex) that represent a challenge for processes such as simplification, compression, smoothing, etc. This automated algorithm removes such singularities, thus converting non-manifold sets of polygons to manifold polygonal surfaces (orientable, if necessary).
IBM T.J. Watson Research Center
P.O. Box 704
Yorktown Heights, New York 10598 USA