## Computational Surface Flattening: A Voxel-based Approach (2002)

### Cached

### Download Links

- [www.eng.tau.ac.il]
- [www.cs.technion.ac.il]
- [www.cs.technion.ac.il]
- DBLP

### Other Repositories/Bibliography

Venue: | IEEE Trans. PAMI |

Citations: | 18 - 12 self |

### BibTeX

@ARTICLE{Grossmann02computationalsurface,

author = {Ruth Grossmann and Nahum Kiryati and Ron Kimmel},

title = {Computational Surface Flattening: A Voxel-based Approach},

journal = {IEEE Trans. PAMI},

year = {2002},

volume = {24},

pages = {433--441}

}

### Years of Citing Articles

### OpenURL

### Abstract

A voxel-based method for flattening a surface in 3-D space into 2-D while best preserving distances is presented. Triangulation or polyhedral approximation of the voxel data are not required. The problem is divided into two main parts: Voxel-based calculation of the minimal geodesic distances between points on the surface, and finding a configuration of points in 2-D that has Euclidean distances as close as possible to these distances. The method suggested combines an efficient voxel-based hybrid distance estimation method, that takes the continuity of the underlying surface into account, with classical multi-dimensional scaling (MDS) for finding the 2-D point configuration.