Paper Info
Title
Quasi-conformal flat representation of triangulated surfaces for computerized tomography
Abstract
In this paper we present a simple method for flattening 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 and dilatation errors. Moreover, the algorithm makes no use to derivatives, hence it is robust and suitable for analysis of noisy data. The algorithm is tested on data obtained from real CT images of the human brain cortex and colon, as well as on a synthetic model of the human skull.
Year
DOI
Venue
2006
10.1007/11889762_14
CVAMIA
Keywords
Field
DocType
riemannian manifold,dilatation error,y. v,simple method,triangle version,noisy data,f. gehring,computerized tomography,triangulated surface,human skull,classical result,quasi-conformal flat representation,human brain cortex
Computer vision,Curvature,Flattening,Computer science,Riemannian manifold,Conformal map,Artificial intelligence,Quasiconformal mapping,Circle packing,Distortion,Manifold
Conference
Volume
ISSN
ISBN
4241
0302-9743
3-540-46257-0
Citations 
PageRank 
References 
1
0.36
7
Authors
3
Name
Order
Citations
PageRank
Eli Appleboim1324.80
Emil Saucan27718.84
Yehoshua Y. Zeevi3610248.69