Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Topology preserving surface extraction using adaptive subdivision
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Feature-Sensitive Subdivision and Isosurface Reconstruction
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Automatic restoration of polygon models
ACM Transactions on Graphics (TOG)
Topology Repair of Solid Models Using Skeletons
IEEE Transactions on Visualization and Computer Graphics
Editing the topology of 3D models by sketching
ACM SIGGRAPH 2007 papers
IEEE Transactions on Visualization and Computer Graphics
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Optimizing the topological and combinatorial complexity of isosurfaces
Computer-Aided Design
Carving for topology simplification of polygonal meshes
Computer-Aided Design
A carving framework for topology simplification of polygonal meshes
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Mesh repair with user-friendly topology control
Computer-Aided Design
Robust surface detection for variance comparison and dimensional measurement
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
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Extracting isosurfaces from volumetric datasets is an essential step for indirect volume rendering algorithms. For physically measured data like it is used, e.g. in medical imaging applications one often introduces topological errors such as small handles that stem from measurement inaccuracy and cavities that are generated by tight folds of an organ. During isosurface extraction these measurement errors result in a surface whose genus is much higher than that of the actual surface. In many cases however, the topological type of the object under consideration is known beforehand, e.g., the cortex of a human brain is always homeomorphic to a sphere. By using topology preserving morphological operators we can exploit this knowledge to gradually dilate an initial set of voxels with correct topology until it fits the target isosurface. This approach avoids the formation of handles and cavities and guarantees a topologically correct reconstruction of the object's surface.