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Global Curvature Analysis and Segmentation of Volumetric Data Sets Using Trivariate B-spline Functions
Beijing, China April 13-April 15
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290043Geometric Modeling and Processing 2004
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Octavian Soldea, Gershon Elber, Ehud Rivlin, "Global Curvature Analysis and Segmentation of Volumetric Data Sets Using Trivariate B-spline Functions," Geometric Modeling and Processing, pp. 217, Geometric Modeling and Processing 2004, 2004.
 
 
BibTex
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@article{ 10.1109/GMAP.2004.1290043,
author = {Octavian Soldea and Gershon Elber and Ehud Rivlin},
title = {Global Curvature Analysis and Segmentation of Volumetric Data Sets Using Trivariate B-spline Functions},
journal ={Geometric Modeling and Processing},
volume = {0},
year = {2004},
isbn = {0-7695-2078-2},
pages = {217},
doi = {http://doi.ieeecomputersociety.org/10.1109/GMAP.2004.1290043},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Geometric Modeling and Processing
TI - Global Curvature Analysis and Segmentation of Volumetric Data Sets Using Trivariate B-spline Functions
SN - 0-7695-2078-2
SP
EP
A1 - Octavian Soldea,
A1 - Gershon Elber,
A1 - Ehud Rivlin,
PY - 2004
KW - null
VL - 0
JA - Geometric Modeling and Processing
ER -
 
Octavian Soldea, Technion-Israel Institute of Technology
Gershon Elber, Technion-Israel Institute of Technology
Ehud Rivlin, Technion-Israel Institute of Technology
This paper presents a scheme to globally compute, bound, and analyze the Gaussian and mean curvatures of an entire volumetric data set, using a trivariate B-spline volumetric representation. The proposed scheme is not only precise and insensitive to aliasing, but also provides a method to globally segment the images into volumetric regions that contain convex or concave (elliptic) iso-surfaces, planar or cylindrical (parabolic) iso-surfaces, and volumetric regions with saddle-like (hyperbolic) iso-surfaces, regardless of the value of the iso-surface level. This scheme, which derives a new differential scalar field for a given scalar field, could easily be adapted to other differential properties.
Citation:
Octavian Soldea, Gershon Elber, Ehud Rivlin, "Global Curvature Analysis and Segmentation of Volumetric Data Sets Using Trivariate B-spline Functions," gmp, pp.217, Geometric Modeling and Processing 2004, 2004
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