Physically-based mesh generation: automated triangulation of surfaces and volumes via bubble packing
Physically-based mesh generation: automated triangulation of surfaces and volumes via bubble packing
Bubble mesh: automated triangular meshing of non-manifold geometry by sphere packing
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Fitting smooth surfaces to dense polygon meshes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Finite Elements in Analysis and Design
New quadric metric for simplifiying meshes with appearance attributes
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Out-of-core simplification of large polygonal models
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Hybrid meshes: multiresolution using regular and irregular refinement
Proceedings of the eighteenth annual symposium on Computational geometry
A memory insensitive technique for large model simplification
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PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Level of Detail for 3D Graphics
Level of Detail for 3D Graphics
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Direct Anisotropic Quad-Dominant Remeshing
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
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Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Combining metrics for mesh simplification and parameterization
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Topologic and geometric constraint-based hexahedral mesh generation
Topologic and geometric constraint-based hexahedral mesh generation
An incremental approach to feature aligned quad dominant remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
A methodology for quadrilateral finite element mesh coarsening
Engineering with Computers - Special Issue: 5th Symposium on Trends in Unstructured Mesh Generation in 2006. Guest Editor: Steven J. Owen
Easy integral surfaces: a fast, quad-based stream and path surface algorithm
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Semi-regular quadrilateral-only remeshing from simplified base domains
SGP '09 Proceedings of the Symposium on Geometry Processing
Localized quadrilateral coarsening
SGP '09 Proceedings of the Symposium on Geometry Processing
ACM SIGGRAPH 2010 papers
Applications of geometry and topology for quadrilateral meshprocessing and verifiable visualization
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Connectivity editing for quadrilateral meshes
Proceedings of the 2011 SIGGRAPH Asia Conference
Simple quad domains for field aligned mesh parametrization
Proceedings of the 2011 SIGGRAPH Asia Conference
Dual loops meshing: quality quad layouts on manifolds
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Presence: Teleoperators and Virtual Environments
Simplification of hexahedral mesh
ACM SIGGRAPH 2012 Posters
Design-driven quadrangulation of closed 3D curves
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Integer-grid maps for reliable quad meshing
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
ACM Transactions on Graphics (TOG)
Feature-aware partitions from the motorcycle graph
Computer-Aided Design
Connectivity editing for quad-dominant meshes
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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We introduce a simplification algorithm for meshes composed of quadrilateral elements. It is reminiscent of edge-collapse based methods for triangle meshes, but takes a novel approach to the challenging problem of maintaining the quadrilateral connectivity during level-of-detail creation. The method consists of a set of unit operations applied to the dual of the mesh, each designed to improve mesh structure and maintain topological genus. Geometric shape is maintained by an extension of a quadric error metric to quad meshes. The technique is straightforward to implement and efficient enough to be applied to real-world models. Our technique can handle models with sharp features, and can be used to re-mesh general polygonal, i.e. tri- and quad-dominant, meshes into quadonly meshes.