Tetrahedral meshing of volumetric medical images respecting image edges

Authors:
Michal Španěl;Přemysl Kršek;Miroslav Švub;Vít Štancl
Affiliations:
Department of Computer Graphics and Multimedia, Faculty of Information Technology, Brno University of Technology, Czech Republic;Department of Computer Graphics and Multimedia, Faculty of Information Technology, Brno University of Technology, Czech Republic;Department of Computer Graphics and Multimedia, Faculty of Information Technology, Brno University of Technology, Czech Republic;Department of Computer Graphics and Multimedia, Faculty of Information Technology, Brno University of Technology, Czech Republic
Venue:
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Year:
2011

Citing 10
Cited 0

Marching cubes: A high resolution 3D surface construction algorithm

SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Surface simplification using quadric error metrics

Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Adaptive and quality 3D meshing from imaging data

SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
An Experimental Comparison of Min-Cut/Max-Flow Algorithms for Energy Minimization in Vision

IEEE Transactions on Pattern Analysis and Machine Intelligence
Variational tetrahedral meshing

ACM SIGGRAPH 2005 Papers
Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations

SIAM Journal on Numerical Analysis
Geometric modeling based on triangle meshes

ACM SIGGRAPH 2006 Courses
Isosurface stuffing: fast tetrahedral meshes with good dihedral angles

ACM SIGGRAPH 2007 papers
Constraint-based fairing of surface meshes

SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
2D Euclidean distance transform algorithms: A comparative survey

ACM Computing Surveys (CSUR)

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, a variational tetrahedral meshing approach is used to adapt a tetrahedral mesh to the underlying CT volumetric data so that image edges are well approximated in the mesh. Afterwards, tetrahedra in the mesh are classified into regions whose image characteristics are similar. Three different clustering schemes are proposed to classify tetrahedra, while the clustering scheme viewing the mesh as an undirected graph achieved best results.