Quasi-isometric and quasi-conformal development of triangulated surfaces for computerized tomography

Authors:
Eli Appleboim;Emil Saucan;Yehoshua Y. Zeevi;Ofir Zeitoun
Affiliations:
Electrical Engineering Department, Technion, Haifa, Israel;Electrical Engineering Department, Technion, Haifa, Israel;Electrical Engineering Department, Technion, Haifa, Israel;FRS Ltd., Rosh HaAyin, Israel
Venue:
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
Year:
2006

Citing 3
Cited 0

Conformal Surface Parameterization for Texture Mapping

IEEE Transactions on Visualization and Computer Graphics
Quasi-Conformally Flat Mapping the Human Cerebellum

MICCAI '99 Proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention
Global conformal surface parameterization

Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing

Quantified Score

Hi-index	0.00

Visualization

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.