Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Solid representation and operation using extended octrees
ACM Transactions on Graphics (TOG)
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Zippered polygon meshes from range images
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Topological considerations in isosurface generation
ACM Transactions on Graphics (TOG)
Filling gaps in the boundary of a polyhedron
Computer Aided Geometric Design
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
On triangulating three-dimensional polygons
Proceedings of the twelfth annual symposium on Computational geometry
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Triangular B-splines for blending and filling of polygonal holes
GI '96 Proceedings of the conference on Graphics interface '96
Consistent solid and boundary representations from arbitrary polygonal data
Proceedings of the 1997 symposium on Interactive 3D graphics
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
An efficient volumetric method for building closed triangular meshes from 3-D image and point data
Proceedings of the conference on Graphics interface '97
VIS '97 Proceedings of the 8th conference on Visualization '97
Using distance maps for accurate surface representation in sampled volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
A morphable model for the synthesis of 3D faces
Proceedings of the 26th 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
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Topology-reducing surface simplification using a discrete solid representation
ACM Transactions on Graphics (TOG)
Head shop: generating animated head models with anatomical structure
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
A three-dimensional holes closing algorithm
Pattern Recognition Letters
RSVP: A Geometric Toolkit for Controlled Repair of Solid Models
IEEE Transactions on Visualization and Computer Graphics
Cutting and Stitching: Converting Sets of Polygons to Manifold Surfaces
IEEE Transactions on Visualization and Computer Graphics
Removing Zero-Volume Parts from CAD Models for Layered Manufacturing
IEEE Computer Graphics and Applications
Generating Topological Structures for Surface Models
IEEE Computer Graphics and Applications
3D Shape Representation: Transforming Polygons into Voxels
SCALE-SPACE '97 Proceedings of the First International Conference on Scale-Space Theory in Computer Vision
A topology-based approach for shell-closure
Selected and Expanded Papers from the IFIP TC5/WG5.2 Working Conference on Geometric Modeling for Product Realization
Interpolation and Approximation of Surfaces from Three-dimensional Scattered Data Points
Dagstuhl '97, Scientific Visualization
Simplification and Repair of Polygonal Models Using Volumetric Techniques
IEEE Transactions on Visualization and Computer Graphics
Feature preserving manifold mesh from an octree
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
ACM SIGGRAPH 2003 Papers
The space of human body shapes: reconstruction and parameterization from range scans
ACM SIGGRAPH 2003 Papers
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
The asymptotic decider: resolving the ambiguity in marching cubes
VIS '91 Proceedings of the 2nd conference on Visualization '91
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)
The Marching Intersections algorithm for merging range images
The Visual Computer: International Journal of Computer Graphics
A finite element method for surface restoration with smooth boundary conditions
Computer Aided Geometric Design
Context-based surface completion
ACM SIGGRAPH 2004 Papers
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
A Statistical Method for Robust 3D Surface Reconstruction from Sparse Data
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Filling the Signed Distance Field by Fitting Local Quadrics
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
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
Non-Parametric 3D Surface Completion
3DIM '05 Proceedings of the Fifth International Conference on 3-D Digital Imaging and Modeling
SCAPE: shape completion and animation of people
ACM SIGGRAPH 2005 Papers
Automatic restoration of polygon models
ACM Transactions on Graphics (TOG)
Amodal volume completion: 3D visual completion
Computer Vision and Image Understanding
Surface completion for shape and appearance
The Visual Computer: International Journal of Computer Graphics
ReMESH: An Interactive Environment to Edit and Repair Triangle Meshes
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
3D Distance Fields: A Survey of Techniques and Applications
IEEE Transactions on Visualization and Computer Graphics
Image Guided Geometry Inference
3DPVT '06 Proceedings of the Third International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT'06)
Automatic Hole-Filling of Triangular Meshes Using Local Radial Basis Function
3DPVT '06 Proceedings of the Third International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT'06)
IEEE Transactions on Visualization and Computer Graphics
A unified method for appearance and geometry completion of point set surfaces
The Visual Computer: International Journal of Computer Graphics
Editing the topology of 3D models by sketching
ACM SIGGRAPH 2007 papers
Interactive topology-aware surface reconstruction
ACM SIGGRAPH 2007 papers
Template-based mesh completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Example-based 3D scan completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Atomic volumes for mesh completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
A Sharpness-Dependent Filter for Recovering Sharp Features in Repaired 3D Mesh Models
IEEE Transactions on Visualization and Computer Graphics
A robust hole-filling algorithm for triangular mesh
The Visual Computer: International Journal of Computer Graphics
Hole Filling of a 3D Model by Flipping Signs of a Signed Distance Field in Adaptive Resolution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Discovering structural regularity in 3D geometry
ACM SIGGRAPH 2008 papers
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
A multistep approach to restoration of locally undersampled meshes
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Detail-preserving surface inpainting
VAST'05 Proceedings of the 6th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
Mesh repair with user-friendly topology control
Computer-Aided Design
Harmonic field based volume model construction from triangle soup
Journal of Computer Science and Technology
A sketching interface for feature curve recovery of free-form surfaces
Computer-Aided Design
Image reconstruction by prioritized incremental normalized convolution
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
Cultural Heritage: Symmetry and template guided completion of damaged skulls
Computers and Graphics
Fast and robust generation of city-scale seamless 3D urban models
Computer-Aided Design
Pattern Recognition Letters
Temporally coherent completion of dynamic shapes
ACM Transactions on Graphics (TOG)
Technical Section: Automatic hole-filling of CAD models with feature-preserving
Computers and Graphics
City-scale urban transport and dispersion simulation using geographic information system footprints
Proceedings of the 3rd International Conference on Computing for Geospatial Research and Applications
Engineering analysis in imprecise geometric models
Finite Elements in Analysis and Design
Polygon mesh repairing: An application perspective
ACM Computing Surveys (CSUR)
Robust inside-outside segmentation using generalized winding numbers
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Putting holes in holey geometry: topology change for arbitrary surfaces
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Context-based coherent surface completion
ACM Transactions on Graphics (TOG)
Technical Section: Practical considerations on Marching Cubes 33 topological correctness
Computers and Graphics
An algorithm for triangulating multiple 3D polygons
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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Polygonal models are popular representations of 3D objects. The use of polygonal models in computational applications often requires a model to properly bound a 3D solid. That is, the polygonal model needs to be closed, manifold, and free of self-intersections. This paper surveys a sizeable literature for repairing models that do not satisfy this criteria, focusing on categorizing them by their methodology and capability. We hope to offer pointers to further readings for researchers and practitioners, and suggestions of promising directions for future research endeavors.