VIS '04 Proceedings of the conference on Visualization '04
Volume Refinement Fairing Isosurfaces
VIS '04 Proceedings of the conference on Visualization '04
VIS '04 Proceedings of the conference on Visualization '04
Dual Contouring with Topology-Preserving Simplification Using Enhanced Cell Representation
VIS '04 Proceedings of the conference on Visualization '04
Lifting curve parameterization methods to isosurfaces
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
MC*: Star Functions for Marching Cubes
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Fairing Scalar Fields by Variational Modeling of Contours
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Artifacts Caused by Simplicial Subdivision
IEEE Transactions on Visualization and Computer Graphics
Direct extraction of surface meshes from implicitly represented heterogeneous volumes
Computer-Aided Design
A reliable surface reconstruction system in biomedicine
Computer Methods and Programs in Biomedicine
Topology-Controlled Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
Dual Marching Tetrahedra: Contouring in the Tetrahedronal Environment
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Optimizing the topological and combinatorial complexity of isosurfaces
Computer-Aided Design
Parameterizing marching cubes isosurfaces with natural neighbor coordinates
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
GLOBAL topology preservation in isosurface extraction of volumetric data
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Tessellation of quadratic elements
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
Piggybacking for more efficient parallel out-of-core isosurfacing
EG PGV'06 Proceedings of the 6th Eurographics conference on Parallel Graphics and Visualization
On accuracy of marching isosurfacing methods
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
Technical Section: Practical considerations on Marching Cubes 33 topological correctness
Computers and Graphics
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A characterization and classification of the isosurfaces of trilinear functions is presented. Based upon these results, a new algorithm for computing a triangular mesh approximation to isosurfaces for data given on a 3D rectilinear grid is presented. The original marching cubes algorithm is based upon linear interpolation along edges of the voxels. The asymptotic decider method is based upon bilinear interpolation on faces of the voxels. The algorithm of this paper carries this theme forward to using trilinear interpolation on the interior of voxels. The algorithm described here will produce a triangular mesh surface approximation to an isosurface which preserves the same connectivity/separation of vertices as given by the isosurface of trilinear interpolation.