Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A Delaunay refinement algorithm for quality 2-dimensional mesh generation
SODA '93 Selected papers from the fourth annual ACM SIAM symposium on Discrete algorithms
On generating topologically consistent isosurfaces from uniform samples
The Visual Computer: International Journal of Computer Graphics
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
Algorithmic geometry
Triangulations in CGAL (extended abstract)
Proceedings of the sixteenth annual symposium on Computational geometry
Journal of the ACM (JACM)
Complexity of the delaunay triangulation of points on surfaces the smooth case
Proceedings of the nineteenth annual symposium on Computational geometry
Non-Manifold Implicit Surfaces Based on Discontinuous Implicitization and Polygonization
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
Provably good sampling and meshing of surfaces
Graphical Models - Solid modeling theory and applications
A generic software design for Delaunay refinement meshing
Computational Geometry: Theory and Applications
From Segmented Images to Good Quality Meshes Using Delaunay Refinement
Emerging Trends in Visual Computing
Cardiac Motion Extraction from Images by Filtering Estimation Based on a Biomechanical Model
FIMH '09 Proceedings of the 5th International Conference on Functional Imaging and Modeling of the Heart
Mesh Generation from 3D Multi-material Images
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
Feature preserving Delaunay mesh generation from 3D multi-material images
SGP '09 Proceedings of the Symposium on Geometry Processing
Tetrahedral image-to-mesh conversion for biomedical applications
Proceedings of the 2nd ACM Conference on Bioinformatics, Computational Biology and Biomedicine
Multitissue Tetrahedral Image-to-mesh Conversion with Guaranteed Quality and Fidelity
SIAM Journal on Scientific Computing
Feature-Preserving, multi-material mesh generation using hierarchical oracles
MeshMed'12 Proceedings of the 2012 international conference on Mesh Processing in Medical Image Analysis
High quality real-time image-to-mesh conversion for finite element simulations
Proceedings of the 27th international ACM conference on International conference on supercomputing
High quality real-time Image-to-Mesh conversion for finite element simulations
Journal of Parallel and Distributed Computing
Guaranteed quality tetrahedral Delaunay meshing for medical images
Computational Geometry: Theory and Applications
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In this paper, we extend some recent provably correct Delaunay-based meshing algorithms to the case of multi-label partitions, so that they can be applied to the generation of high-quality geometric models from labeled medical datasets. Our approach enforces watertight surface meshes free of self-intersections, and outputs surface and volume meshes of the different tissues which are consistent with each other, including at multiple junctions. Moreover, the abstraction of the tissue partition into an oracle that, given a point in space, answers which tissue it belongs to, makes our approach applicable to virtually any combination of data sources. Finally, our approach offers extensive control over the size and shape of mesh elements, through customizable quality criteria on triangular facets and on tetrahedra, which can be tuned independently for the different anatomical structures. Our numerical experiments demonstrate the effectiveness and flexibility of our approach for generating high-quality surface and volume meshes from real multi-label medical datasets.