Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Fitting smooth surfaces to dense polygon meshes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Progressive simplicial complexes
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Controlled simplification of genus for polygonal models
VIS '97 Proceedings of the 8th conference on Visualization '97
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Appearance-preserving simplification
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Progressive forest split compression
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Computing Morse functions on triangulated manifolds
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
A simple algorithm for homeomorphic surface reconstruction
Proceedings of the sixteenth annual symposium on Computational geometry
Displaced subdivision surfaces
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Topology preserving and controlled topology simplifying multiresolution isosurface extraction
Proceedings of the conference on Visualization '00
Semi-regular mesh extraction from volumes
Proceedings of the conference on Visualization '00
Topology Simplification for Polygonal Virtual Environments
IEEE Transactions on Visualization and Computer Graphics
Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator
FCRC '96/WACG '96 Selected papers from the Workshop on Applied Computational Geormetry, Towards Geometric Engineering
Topological persistence and simplification
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Robust meshes from multiple range maps
NRC '97 Proceedings of the International Conference on Recent Advances in 3-D Digital Imaging and Modeling
Guaranteeing 2-Manifold Property for Meshes
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
A New Paradigm for Changing Topology of 2-Manifold Polygonal Meshes
A New Paradigm for Changing Topology of 2-Manifold Polygonal Meshes
The digital michelangelo project
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Permission grids: practical, error-bounded simplification
ACM Transactions on Graphics (TOG)
Hybrid meshes: multiresolution using regular and irregular refinement
Proceedings of the eighteenth annual symposium on Computational geometry
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
A simple algorithm for surface denoising
Proceedings of the conference on Visualization '01
Geometric surface smoothing via anisotropic diffusion of normals
Proceedings of the conference on Visualization '02
Topology alteration for virtual sculpting using spatial deformation
Proceedings of the 2nd international conference on Computer graphics, virtual Reality, visualisation and interaction in Africa
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
Transitive Mesh Space of a Progressive Mesh
IEEE Transactions on Visualization and Computer Graphics
SwingWrapper: Retiling triangle meshes for better edgebreaker compression
ACM Transactions on Graphics (TOG)
Inference of Segmented Color and Texture Description by Tensor Voting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
Feature-based surface parameterization and texture mapping
ACM Transactions on Graphics (TOG)
Simplification and improvement of tetrahedral models for simulation
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Topology preserving surface extraction using adaptive subdivision
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Centroidal Voronoi diagrams for isotropic surface remeshing
Graphical Models - Special issue on SMI 2003
Extraction of Topologically Simple Isosurfaces from Volume Datasets
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
A Multi-resolution Data Structure for Two-dimensional Morse-Smale Functions
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Automatic restoration of polygon models
ACM Transactions on Graphics (TOG)
Texture for volume character animation
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Optimization methods for scattered data approximation with subdivision surfaces
Graphical Models - Solid modeling theory and applications
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Conformal virtual colon flattening
Proceedings of the 2006 ACM symposium on Solid and physical modeling
A Topological Approach to Simplification of Three-Dimensional Scalar Functions
IEEE Transactions on Visualization and Computer Graphics
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
High-Quality Extraction of Isosurfaces from Regular and Irregular Grids
IEEE Transactions on Visualization and Computer Graphics
Optimization techniques for approximation with subdivision surfaces
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Plumber: a method for a multi-scale decomposition of 3D shapes into tubular primitives and bodies
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Topology Repair of Solid Models Using Skeletons
IEEE Transactions on Visualization and Computer Graphics
Computer-Aided Design
Editing the topology of 3D models by sketching
ACM SIGGRAPH 2007 papers
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Topologically Clean Distance Fields
IEEE Transactions on Visualization and Computer Graphics
Efficient Computation of Morse-Smale Complexes for Three-dimensional Scalar Functions
IEEE Transactions on Visualization and Computer Graphics
Topological Repairing of 3D Digital Images
Journal of Mathematical Imaging and Vision
Computing geometry-aware handle and tunnel loops in 3D models
ACM SIGGRAPH 2008 papers
Active Contours Under Topology Control--Genus Preserving Level Sets
International Journal of Computer Vision
Testing contractibility in planar rips complexes
Proceedings of the twenty-fourth annual symposium on Computational geometry
Computational Geometry: Theory and Applications
Efficient algorithms for computing Reeb graphs
Computational Geometry: Theory and Applications
Minimum cuts and shortest homologous cycles
Proceedings of the twenty-fifth annual symposium on Computational geometry
Measuring and computing natural generators for homology groups
Computational Geometry: Theory and Applications
Computing handle and tunnel loops with knot linking
Computer-Aided Design
Optimizing the topological and combinatorial complexity of isosurfaces
Computer-Aided Design
Computer Graphics in Italy: Computational methods for understanding 3D shapes
Computers and Graphics
Separatrix persistence: extraction of salient edges on surfaces using topological methods
SGP '09 Proceedings of the Symposium on Geometry Processing
Hardness results for homology localization
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
Mesh repair with user-friendly topology control
Computer-Aided Design
Shortest non-trivial cycles in directed surface graphs
Proceedings of the twenty-seventh annual symposium on Computational geometry
A genetic algorithm for the topology correction of cortical surfaces
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
Lipschitz unimodal and isotonic regression on paths and trees
LATIN'10 Proceedings of the 9th Latin American conference on Theoretical Informatics
Active contours under topology control genus preserving level sets
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
Polygon mesh repairing: An application perspective
ACM Computing Surveys (CSUR)
An efficient computation of handle and tunnel loops via Reeb graphs
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Technical Section: Topological saliency
Computers and Graphics
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Meshes obtained from laser scanner data often contain topological noise due to inaccuracies in the scanning and merging process. This topological noise complicates subsequent operations such as remeshing, parameterization and smoothing. We introduce an approach that removes unnecessary nontrivial topology from meshes. Using a local wave front traversal, we discover the local topologies of the mesh and identify features such as small tunnels. We then identify non-separating cuts along which we cut and seal the mesh, reducing the genus and thus the topological complexity of the mesh.