Name
Title | ||
|---|---|---|
Quasi-isometric and quasi-conformal development of triangulated surfaces for computerized tomography |
Abstract | ||
|---|---|---|
In this paper we present a simple method for minimal distortion development of triangulated surfaces for mapping and imaging. The method is based on classical results of F. Gehring and Y. Väisälä regarding the existence of quasi-conformal and quasi-isometric mappings between Riemannian manifolds. A random starting triangle version of the algorithm is presented. A curvature based version is also applicable. In addition the algorithm enables the user to compute the maximal distortion errors. Moreover, the algorithm makes no use to derivatives, hence it is suitable for analysis of noisy data. The algorithm is tested on data obtained from real CT images of the human brain cortex. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/11774938_29 | IWCIA |
Keywords | Field | DocType |
riemannian manifold,triangulated surface,y. v,simple method,triangle version,maximal distortion error,classical result,noisy data,quasi-conformal development,computerized tomography,f. gehring,human brain cortex,minimal distortion development | Topology,Curvature,Computer science,Isometry,Conformal map,Triangulation,Quasiconformal mapping,Circle packing,Distortion,Manifold | Conference |
Volume | ISSN | ISBN |
4040 | 0302-9743 | 3-540-35153-1 |
Citations | PageRank | References |
1 | 0.36 | 7 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Eli Appleboim | 1 | 32 | 4.80 |
| Emil Saucan | 2 | 77 | 18.84 |
| Yehoshua Y. Zeevi | 3 | 610 | 248.69 |
| Ofir Zeitoun | 4 | 1 | 0.36 |