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Marching cubes: A high resolution 3D surface construction algorithm
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Art gallery theorems and algorithms
Art gallery theorems and algorithms
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
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A data reduction scheme for triangulated surfaces
Computer Aided Geometric Design
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An overview of computer-integrated surgery at the IBM Thomas J. Watson Research Center
IBM Journal of Research and Development
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
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VIS '97 Proceedings of the 8th conference on Visualization '97
Geometric compression through topological surgery
ACM Transactions on Graphics (TOG)
A general method for preserving attribute values on simplified meshes
Proceedings of the conference on Visualization '98
Hierarchical face clustering on polygonal surfaces
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Topology-reducing surface simplification using a discrete solid representation
ACM Transactions on Graphics (TOG)
Permission grids: practical, error-bounded simplification
ACM Transactions on Graphics (TOG)
TetFusion: an algorithm for rapid tetrahedral mesh simplification
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Multiresolution Representation and Visualization of Volume Data
IEEE Transactions on Visualization and Computer Graphics
Locally Toleranced Surface Simplification
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
A Framework for Streaming Geometry in VRML
IEEE Computer Graphics and Applications
Mesh Simplification by Vertex Cluster Contraction
PCM '01 Proceedings of the Second IEEE Pacific Rim Conference on Multimedia: Advances in Multimedia Information Processing
Adaptive Multi-Resolution Modeling Technique Based on Viewing and Animation Parameters
VRAIS '97 Proceedings of the 1997 Virtual Reality Annual International Symposium (VRAIS '97)
Triangle mesh compression and simplification
Machine Graphics & Vision International Journal
Billboard clouds for extreme model simplification
ACM SIGGRAPH 2003 Papers
SwingWrapper: Retiling triangle meshes for better edgebreaker compression
ACM Transactions on Graphics (TOG)
Mesh Simplification with Hierarchical Shape Analysis and Iterative Edge Contraction
IEEE Transactions on Visualization and Computer Graphics
Transforming 3D mesh surfaces into images by parameterization
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Variational shape approximation
ACM SIGGRAPH 2004 Papers
SVG rendering of real images using data dependent triangulation
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A Parallel Framework for Simplification of Massive Meshes
PVG '03 Proceedings of the 2003 IEEE Symposium on Parallel and Large-Data Visualization and Graphics
Feature-Space Analysis of Unstructured Meshes
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Mesh scissoring with minima rule and part salience
Computer Aided Geometric Design - Special issue: Geometry processing
An Improved Vertex Caching Scheme for 3D Mesh Rendering
IEEE Transactions on Visualization and Computer Graphics
Direct extraction of surface meshes from implicitly represented heterogeneous volumes
Computer-Aided Design
Data perturbation for fewer triangles in marching tetrahedra
Graphical Models
Construction of Simplified Boundary Surfaces from Serial-sectioned Metal Micrographs
IEEE Transactions on Visualization and Computer Graphics
Point-cloud simplification with bounded geometric deviations
International Journal of Computer Applications in Technology
Texture mapping on 3D surfaces using clustering-based cutting paths
International Journal of Computational Science and Engineering
A Java3D framework for inspecting and segmenting 3D models
Web3D '08 Proceedings of the 13th international symposium on 3D web technology
Mesh clustering by approximating centroidal Voronoi tessellation
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Mesh scissoring with minima rule and part salience
Computer Aided Geometric Design - Special issue: Geometry processing
Fast mesh segmentation by approximated spherical patches
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Mesh simplification with vertex color
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Multi-edge decimation in multi-modal 3D collaborative applications
Proceedings of the 7th International Conference on Advances in Mobile Computing and Multimedia
Rapid simplification of multi-attribute meshes
Proceedings of the ACM SIGGRAPH Symposium on High Performance Graphics
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ACCV'10 Proceedings of the 2010 international conference on Computer vision - Volume part II
SMI 2012: Full Progressive compression of manifold polygon meshes
Computers and Graphics
Example-based synthesis of 3D object arrangements
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Deforming surface simplification based on feature preservation
ICEC'07 Proceedings of the 6th international conference on Entertainment Computing
Formal verification of analog circuit parameters across variation utilizing SAT
Proceedings of the Conference on Design, Automation and Test in Europe
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We describe Superfaces, a domain-independent method for simplifying polyhedral meshes. The Superfaces algorithm performs the simplification based on a bounded approximation criterion that produces a simplified mesh that approximates the original one to within a pre-specified tolerance. The vertices in the simplified mesh are a proper subset of the original vertices, so the algorithm is well-suited for creating hierarchical representations of polyhedra.We have used the algorithm to simplify isosurfaces derived form medical CT scans, molecular electron density volume data, and topographic data of the earth.