Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Octrees for faster isosurface generation
ACM Transactions on Graphics (TOG)
On generating topologically consistent isosurfaces from uniform samples
The Visual Computer: International Journal of Computer Graphics
Polygonization of non-manifold implicit surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Octree-based decimation of marching cubes surfaces
Proceedings of the 7th conference on Visualization '96
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Computing the separating surface for segmented data
VIS '97 Proceedings of the 8th conference on Visualization '97
Geometric structures for three-dimensional shape representation
ACM Transactions on Graphics (TOG)
Feature sensitive surface extraction from volume data
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Dual/Primal mesh optimization for polygonized implicit surfaces
Proceedings of the seventh ACM symposium on Solid modeling and applications
Constructive hypervolume modeling
Graphical Models - Volume modeling
High-Quality Extraction of Isosurfaces from Regular and Irregular Grids
IEEE Transactions on Visualization and Computer Graphics
Topology, Accuracy, and Quality of Isosurface Meshes Using Dynamic Particles
IEEE Transactions on Visualization and Computer Graphics
Generic Remeshing of 3D Triangular Meshes with Metric-Dependent Discrete Voronoi Diagrams
IEEE Transactions on Visualization and Computer Graphics
Extraction of isosurfaces from multi-material CT volumetric data of mechanical parts
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Delaunay meshing of isosurfaces
The Visual Computer: International Journal of Computer Graphics
Edge Transformations for Improving Mesh Quality of Marching Cubes
IEEE Transactions on Visualization and Computer Graphics
Edge Groups: An Approach to Understanding the Mesh Quality of Marching Methods
IEEE Transactions on Visualization and Computer Graphics
Particle-based Sampling and Meshing of Surfaces in Multimaterial Volumes
IEEE Transactions on Visualization and Computer Graphics
Marching Cubes without Skinny Triangles
Computing in Science and Engineering
Technical Section: Variational implicit surface meshing
Computers and Graphics
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Quality isosurface mesh generation using an extended marching cubes lookup table
EuroVis'08 Proceedings of the 10th Joint Eurographics / IEEE - VGTC conference on Visualization
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We present in this paper an algorithm for meshing implicit surfaces based on the Delaunay triangulation of a point-set adaptively sampled on an implicit surface. To improve the quality of the resulting triangular mesh, we use at each iteration a mesh optimization algorithm with the following objectives: optimizing the connectivity, retrieving the sharp features, regularizing the triangles shapes and minimizing the approximation error. Then, we extend this algorithm in order to handle functionally defined heterogeneous object surfaces, while maintaining a good quality for the triangles' shapes and the mesh features (geometrical sharp features and boundaries between different materials).