Regularization of inverse visual problems involving discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Efficient algorithms for 3D scan-conversion of parametric curves, surfaces, and volumes
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Polygonization of implicit surfaces
Computer Aided Geometric Design
Guaranteed ray intersections with implicit surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
The design and analysis of spatial data structures
The design and analysis of spatial data structures
Solid representation and operation using extended octrees
ACM Transactions on Graphics (TOG)
Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
A survey of ray tracing acceleration techniques
An introduction to ray tracing
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd 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
Octree-based decimation of marching cubes surfaces
Proceedings of the 7th conference on Visualization '96
Matrix computations (3rd ed.)
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Interactive Boolean operations for conceptual design of 3-D solids
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
Geometric shock-capturing eno schemes for subpixel interpolation, computation and curve evolution
Graphical Models and Image Processing
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
3D scan conversion of CSG models into distance volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Using distance maps for accurate surface representation in sampled volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
An accurate method for voxelizing polygon meshes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Fast computation of generalized Voronoi diagrams using graphics hardware
Proceedings of the 26th 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
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Semi-regular mesh extraction from volumes
Proceedings of the conference on Visualization '00
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
A Near Optimal Isosurface Extraction Algorithm Using the Span Space
IEEE Transactions on Visualization and Computer Graphics
Computer
Ray Tracing Point Sampled Geometry
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
Deformable Surfaces for Feature Based Indirect Volume Rendering
CGI '98 Proceedings of the Computer Graphics International 1998
The asymptotic decider: resolving the ambiguity in marching cubes
VIS '91 Proceedings of the 2nd conference on Visualization '91
VIS '94 Proceedings of the conference on Visualization '94
Hierarchical extraction of iso-surfaces with semi-regular meshes
Proceedings of the seventh ACM symposium on Solid modeling and applications
Dual/Primal mesh optimization for polygonized implicit surfaces
Proceedings of the seventh ACM symposium on Solid modeling and applications
Level set surface editing operators
Proceedings of the 29th 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
Implicit linear interval estimations
SCCG '02 Proceedings of the 18th spring conference on Computer graphics
A complete distance field representation
Proceedings of the conference on Visualization '01
ACM SIGGRAPH Computer Graphics
Efficient simplification of point-sampled surfaces
Proceedings of the conference on Visualization '02
Volume warping for adaptive isosurface extraction
Proceedings of the conference on Visualization '02
Reconstruction of Surfaces from Scan Paths
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Fast swept volume approximation of complex polyhedral models
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Surface reconstruction of freeform objects based on multiresolution volumetric method
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Discretization of functionally based heterogeneous objects
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Dynamic remeshing and applications
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Adaptive and quality 3D meshing from imaging data
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Feature preserving manifold mesh from an octree
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Progressive encoding of complex isosurfaces
ACM SIGGRAPH 2003 Papers
Edge-sharpener: recovering sharp features in triangulations of non-adaptively re-meshed surfaces
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Efficient max-norm distance computation and reliable voxelization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Surface Reconstruction with Volume Preservation
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Efficient Representation and Extraction of 2-Manifold Isosurfaces Using kd-Trees
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Iso-Splatting: A Point-Based Alternative to Isosurface Visualization
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Neural Meshes: Statistical Learning Based on Normals
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Feature sensitive mesh processing
SCCG '03 Proceedings of the 19th spring conference on Computer graphics
Shape from Contours and Multiple Stereo " A Hierarchical, Mesh-Based Approach
CRV '04 Proceedings of the 1st Canadian Conference on Computer and Robot Vision
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
Surface Reconstruction of Noisy and Defective Data Sets
VIS '04 Proceedings of the conference on Visualization '04
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
Feature Preserving Distance Fields
VV '04 Proceedings of the 2004 IEEE Symposium on Volume Visualization and Graphics
SHIC: A View-Dependent Rendering Framework for Isosurfaces
VV '04 Proceedings of the 2004 IEEE Symposium on Volume Visualization and Graphics
IEEE Transactions on Visualization and Computer Graphics
Surface reconstruction from scan paths
Future Generation Computer Systems - Special issue: Computer graphics and geometric modeling
Efficient representation and extraction of 2-manifold isosurfaces using kd-trees
Graphical Models - Special issue on pacific graphics 2003
Spectral surface reconstruction from noisy point clouds
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
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
3D scattered data interpolation and approximation with multilevel compactly supported RBFs
Graphical Models - Special issue on SMI 2003
Feature-Sensitive Subdivision and Isosurface Reconstruction
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Fairing Scalar Fields by Variational Modeling of Contours
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Automatic restoration of polygon models
ACM Transactions on Graphics (TOG)
A New Combinatorial Approach to Surface Reconstruction with Sharp Features
IEEE Transactions on Visualization and Computer Graphics
AFRIGRAPH '06 Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
3D S.O.M.: a commercial software solution to 3D scanning
Graphical Models - Special issue: Vision and computer graphics
Duplicate-skins for compatible mesh modelling
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Progressive out-of-core compression based on multi-level adaptive octree
Proceedings of the 2006 ACM international conference on Virtual reality continuum and its applications
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
Bilateral Recovering of Sharp Edges on Feature-Insensitive Sampled Meshes
IEEE Transactions on Visualization and Computer Graphics
Graphical Models - Special issue on SMI 2004
Detail sculpting using cubical marching squares
Proceedings of the 2005 international conference on Augmented tele-existence
Quality meshing of implicit solvation models of biomolecular structures
Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
Accurate Minkowski sum approximation of polyhedral models
Graphical Models - Special issue on PG2004
3D distance transform adaptive filtering for smoothing and denoising triangle meshes
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
ShapeShop: sketch-based solid modeling with BlobTrees
ACM SIGGRAPH 2006 Courses
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Robust Feature Classification and Editing
IEEE Transactions on Visualization and Computer Graphics
Streaming Simplification of Tetrahedral Meshes
IEEE Transactions on Visualization and Computer Graphics
Interactive Point-based Isosurface Exploration and High-quality Rendering
IEEE Transactions on Visualization and Computer Graphics
Multi-level partition of unity implicits
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Direct extraction of surface meshes from implicitly represented heterogeneous volumes
Computer-Aided Design
IEEE Transactions on Visualization and Computer Graphics
GI '07 Proceedings of Graphics Interface 2007
Non-iterative approach for global mesh optimization
Computer-Aided Design
ShapeShop: sketch-based solid modeling with BlobTrees
ACM SIGGRAPH 2007 courses
Extraction and simplification of iso-surfaces in tandem
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Reliable implicit surface polygonization using visibility mapping
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Unconstrained isosurface extraction on arbitrary octrees
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Out-of-core and compressed level set methods
ACM Transactions on Graphics (TOG)
An accurate sampling-based method for approximating geometry
Computer-Aided Design
A Sharpness-Dependent Filter for Recovering Sharp Features in Repaired 3D Mesh Models
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
Reconstruction of 3D Object Meshes from Silhouette Images
Journal of Mathematical Imaging and Vision
Visibility-based feature extraction from discrete models
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Volume octree with an implicitly defined dual grid
Computers and Graphics
Technical Section: Variational implicit surface meshing
Computers and Graphics
Preserving sharp edges in geometry images
Proceedings of Graphics Interface 2009
Fixing geometric errors on polygonal models: a survey
Journal of Computer Science and Technology
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
Quality meshing of implicit solvation models of biomolecular structures
Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
Volume CAD-CW-complexes based approach
Computer-Aided Design
Incremental reconstruction of sharp edges on mesh surfaces
Computer-Aided Design
A survey of point-based techniques in computer graphics
Computers and Graphics
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
Surface reconstruction from scan paths
Future Generation Computer Systems
Out-of-core MLS reconstruction
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
Solid modeling of polyhedral objects by Layered Depth-Normal Images on the GPU
Computer-Aided Design
Physics-inspired topology changes for thin fluid features
ACM SIGGRAPH 2010 papers
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
The HybridTree: a hybrid constructive shape representation for free-form modeling
Heterogeneous objects modelling and applications
Automation of the volumetric models construction
Heterogeneous objects modelling and applications
Marching triangle polygonization for efficient surface reconstruction from its distance transform
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
A comparison of sampling strategies for computing general sweeps
Computer-Aided Design
Conservative swept volume boundary approximation
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
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
Automatic Grid Resolution and Efficient Triangulation of Implicit Vector Field
SIAM Journal on Imaging Sciences
Applying signal processing techniques to facilitate shape modeling in industrial design
AEE'05 Proceedings of the 4th WSEAS international conference on Applications of electrical engineering
Machine Graphics & Vision International Journal
Technical Section: Context-aware mesh smoothing for biomedical applications
Computers and Graphics
Constructing 3d surface from planar contours with grid adjustment analysis
VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
GLOBAL topology preservation in isosurface extraction of volumetric data
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Optimized surface discretization of functionally defined multi-material objects
Advances in Engineering Software
Bayesian mesh reconstruction from noisy point data
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
Separated medial surface extraction from CT data of machine parts
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Piecewise tri-linear contouring for multi-material volumes
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
Staircase-aware smoothing of medical surface meshes
EG VCBM'10 Proceedings of the 2nd Eurographics conference on Visual Computing for Biology and Medicine
Non-manifold mesh extraction from time-varying segmented volumes used for modeling a human heart
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
Surface reconstruction with enriched reproducing kernel particle approximation
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Split-voxel: a simple discontinuity-preserving voxel representation for volume rendering
VG'10 Proceedings of the 8th IEEE/EG international conference on Volume Graphics
O-snap: Optimization-based snapping for modeling architecture
ACM Transactions on Graphics (TOG)
Accurate reconstruction of engineered models with surfaces of revolution
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
Fast and accurate evaluation of regularized Boolean operations on triangulated solids
Computer-Aided Design
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
SMI 2013: Voronoi-based feature curves extraction for sampled singular surfaces
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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The representation of geometric objects based on volumetric data structures has advantages in many geometry processing applications that require, e.g., fast surface interrogation or boolean operations such as intersection and union. However, surface based algorithms like shape optimization (fairing) or freeform modeling often need a topological manifold representation where neighborhood information within the surface is explicitly available. Consequently, it is necessary to find effective conversion algorithms to generate explicit surface descriptions for the geometry which is implicitly defined by a volumetric data set. Since volume data is usually sampled on a regular grid with a given step width, we often observe severe alias artifacts at sharp features on the extracted surfaces. In this paper we present a new technique for surface extraction that performs feature sensitive sampling and thus reduces these alias effects while keeping the simple algorithmic structure of the standard Marching Cubes algorithm. We demonstrate the effectiveness of the new technique with a number of application examples ranging from CSG modeling and simulation to surface reconstruction and remeshing of polygonal models.