Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
An incremental algorithm for Betti numbers of simplicial complexes on the 3-spheres
Computer Aided Geometric Design - Special issue on grid generation, finite elements, and geometric design
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Octree-based decimation of marching cubes surfaces
Proceedings of the 7th conference on Visualization '96
Model simplification using vertex-clustering
Proceedings of the 1997 symposium on Interactive 3D graphics
View-dependent simplification of arbitrary polygonal environments
Proceedings of the 24th 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
Out-of-core simplification of large polygonal models
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Feature sensitive surface extraction from volume data
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Efficient adaptive simplification of massive meshes
Proceedings of the conference on Visualization '01
A multiphase approach to efficient surface simplification
Proceedings of the conference on Visualization '02
Feature preserving manifold mesh from an octree
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
The asymptotic decider: resolving the ambiguity in marching cubes
VIS '91 Proceedings of the 2nd conference on Visualization '91
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
Dual Marching Cubes: Primal Contouring of Dual Grids
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
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
Efficient representation and extraction of 2-manifold isosurfaces using kd-trees
Graphical Models - Special issue on pacific graphics 2003
Extraction of Topologically Simple Isosurfaces from Volume Datasets
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Feature-Sensitive Subdivision and Isosurface Reconstruction
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
A topology-preserving polygonal simplification using vertex clustering
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Extraction and simplification of iso-surfaces in tandem
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Unconstrained isosurface extraction on arbitrary octrees
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Optimal Accurate Minkowski Sum Approximation of Polyhedral Models
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Theoretical and Methodological Issues
Fixing geometric errors on polygonal models: a survey
Journal of Computer Science and Technology
Direct extraction of normal mapped meshes from volume data
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
Technical Section: Practical considerations on Marching Cubes 33 topological correctness
Computers and Graphics
Constructing isosurfaces with sharp edges and corners using cube merging
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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Dual Contouring (DC) is a feature-preserving isosurfacing method that extracts crack-free surfaces from both uniform and adaptive octree grids. We present an extension of DC that further guarantees that the mesh generated is a manifold even under adaptive simplification. Our main contribution is an octree-based topology-preserving vertex-clustering algorithm for adaptive contouring. The contoured surface generated by our method contains only manifold vertices and edges, preserves sharp features, and possesses much better adaptivity than those generated by other isosurfacing methods under topologically safe simplification.