Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Topological considerations in isosurface generation
ACM Transactions on Graphics (TOG)
On generating topologically consistent isosurfaces from uniform samples
The Visual Computer: International Journal of Computer Graphics
Isosurfacing in span space with utmost efficiency (ISSUE)
Proceedings of the 7th conference on Visualization '96
Re: additional reference to "marching cubes"
ACM SIGGRAPH Computer Graphics
Speeding Up Isosurface Extraction Using Interval Trees
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
Approximation of isosurface in the marching cube: ambiguity problem
VIS '94 Proceedings of the conference on Visualization '94
Adaptive and quality 3D meshing from imaging data
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Isotopic implicit surface meshing
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
AFRIGRAPH '06 Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
A comparison of fundamental methods for ISO surface extraction
Machine Graphics & Vision International Journal
Topological Equivalence between a 3D Object and the Reconstruction of Its Digital Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Visualization and Computer Graphics
Topological Repairing of 3D Digital Images
Journal of Mathematical Imaging and Vision
Topology Preserving Tetrahedral Decomposition of Trilinear Cell
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Computational Approaches for Automatic Structural Analysis of Large Biomolecular Complexes
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Shrink-Wrapped Isosurface from Cross Sectional Images
IEICE - Transactions on Information and Systems
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Load-balanced isosurfacing on multi-GPU clusters
EG PGV'10 Proceedings of the 10th 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
| Hi-index | 0.00 |
This paper proposes a modification of the Marching Cubes algorithm for isosurfacing, with the intent of improving the representation of the surface in the interior of each grid cell. Our objective is to create a representation which correctly models the topology of the trilinear interpolant within the cell and which is robust under perturbations of the data and threshold value. To achieve this, we identify a small number of key points in the cell interior that are critical to the surface definition. This allows us to efficiently represent the different topologies that can occur, including the possibility of 驴tunnels.驴 The representation is robust in the sense that the surface is visually continuous as the data and threshold change in value. Each interior point lies on the isosurface. Finally, a major feature of our new approach is the systematic method of triangulating the polygon in the cell interior.