IEEE Transactions on Visualization and Computer Graphics
Interactive topology-aware surface reconstruction
ACM SIGGRAPH 2007 papers
Unconstrained isosurface extraction on arbitrary octrees
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Technical Section: Space and time efficient isosurface extraction
Computers and Graphics
Multiscale cell-based coarsening for discontinuous problems
Mathematics and Computers in Simulation
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
A hierarchical sampling approach for polygonizing variational implicit surfaces
Computers and Graphics
Out-of-core MLS reconstruction
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
Streaming surface reconstruction using wavelets
SGP '08 Proceedings of the Symposium on Geometry Processing
Physics-inspired topology changes for thin fluid features
ACM SIGGRAPH 2010 papers
Fast and accurate machined surface rendering using an octree model
ICCVG'10 Proceedings of the 2010 international conference on Computer vision and graphics: Part II
Inference-based procedural modeling of solids
Computer-Aided Design
SIGGRAPH Asia 2013 Technical Briefs
Constructing isosurfaces with sharp edges and corners using cube merging
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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We present a method for contouring an implicit function using a grid topologically dual to structured grids such as octrees. By aligning the vertices of the dual grid with the features of the implicit function, we are able to reproduce thin features of the extracted surface without excessive sub-division required by methods such as Marching Cubes or Dual Contouring. Dual Marching Cubes produces a crack-free, adaptive polygonalization of the surface that reproduces sharp features. Our approach maintains the advantage of using structured grids for operations such as CSG while being able to conform to the relevant features of the implicit function yielding much sparser polygonalizations than has been possible using structured grids.