Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Restricted delaunay triangulations and normal cycle
Proceedings of the nineteenth annual symposium on Computational geometry
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Direct Anisotropic Quad-Dominant Remeshing
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Discrete conformal mappings via circle patterns
ACM Transactions on Graphics (TOG)
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Vector field design on surfaces
ACM Transactions on Graphics (TOG)
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Design of tangent vector fields
ACM SIGGRAPH 2007 papers
Smooth feature lines on surface meshes
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
N-symmetry direction field design
ACM Transactions on Graphics (TOG)
An incremental approach to feature aligned quad dominant remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Spectral quadrangulation with orientation and alignment control
ACM SIGGRAPH Asia 2008 papers
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Efficient linear system solvers for mesh processing
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Global parameterization and quadrilateral meshing of point cloud
ACM SIGGRAPH ASIA 2009 Posters
Semi-regular quadrilateral-only remeshing from simplified base domains
SGP '09 Proceedings of the Symposium on Geometry Processing
ACM SIGGRAPH 2010 papers
A wave-based anisotropic quadrangulation method
ACM SIGGRAPH 2010 papers
Lp Centroidal Voronoi Tessellation and its applications
ACM SIGGRAPH 2010 papers
Technical Section: Shape approximation by differential properties of scalar functions
Computers and Graphics
Adaptive LOD editing of quad meshes
Proceedings of the 7th International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Editing operations for irregular vertices in triangle meshes
ACM SIGGRAPH Asia 2010 papers
Hexagonal global parameterization of arbitrary surfaces
ACM SIGGRAPH ASIA 2010 Sketches
Fast and symmetry-aware quadrangulation
ACM SIGGRAPH ASIA 2010 Posters
Technical Section: Exoskeleton: Curve network abstraction for 3D shapes
Computers and Graphics
Editable polycube map for GPU-based subdivision surfaces
I3D '11 Symposium on Interactive 3D Graphics and Games
ACM SIGGRAPH 2011 papers
SMI 2011: Full Paper: Template-based quadrilateral meshing
Computers and Graphics
SMI 2011: Full Paper: Shape optimization of quad mesh elements
Computers and Graphics
Generalized shape operators on polyhedral surfaces
Computer Aided Geometric Design
General planar quadrilateral mesh design using conjugate direction field
Proceedings of the 2011 SIGGRAPH Asia Conference
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
Boundary aligned smooth 3D cross-frame field
Proceedings of the 2011 SIGGRAPH Asia Conference
Global parametrization of range image sets
Proceedings of the 2011 SIGGRAPH Asia Conference
Technical Section: Meshless quadrangulation by global parameterization
Computers and Graphics
Computer-Aided Design
Computer Aided Geometric Design
Global parametrization by incremental flattening
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Dual loops meshing: quality quad layouts on manifolds
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Practical mixed-integer optimization for geometry processing
Proceedings of the 7th international conference on Curves and Surfaces
OpenFlipper: an open source geometry processing and rendering framework
Proceedings of the 7th international conference on Curves and Surfaces
SMI 2012: Full Spectral computations on nontrivial line bundles
Computers and Graphics
SMI 2012: Full Pattern mapping with quad-pattern-coverable quad-meshes
Computers and Graphics
Vertex location optimisation for improved remeshing
Graphical Models
CAe '12 Proceedings of the Eighth Annual Symposium on Computational Aesthetics in Graphics, Visualization, and Imaging
Shape-Up: Shaping Discrete Geometry with Projections
Computer Graphics Forum
Computing Extremal Quasiconformal Maps
Computer Graphics Forum
All-hex meshing using singularity-restricted field
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
EGSR'10 Proceedings of the 21st Eurographics conference on Rendering
Generation of bi-monotone patches from quadrilateral mesh for reverse engineering
Computer-Aided Design
Topology aware quad dominant meshing for vascular structures
MeshMed'12 Proceedings of the 2012 international conference on Mesh Processing in Medical Image Analysis
Sketch-based generation and editing of quad meshes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Designing unreinforced masonry models
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Controlled-distortion constrained global parametrization
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Globally optimal direction fields
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Integer-grid maps for reliable quad meshing
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
QEx: robust quad mesh extraction
ACM Transactions on Graphics (TOG)
SMI 2013: Laplacians on flat line bundles over 3-manifolds
Computers and Graphics
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Technical note: Modeling flow features with user-guided streamline parameterization
Computer-Aided Design
Feature-aware partitions from the motorcycle graph
Computer-Aided Design
Smooth surfaces from rational bilinear patches
Computer Aided Geometric Design
Connectivity editing for quad-dominant meshes
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Discrete line congruences for shading and lighting
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Animation-aware quadrangulation
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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We present a novel method for quadrangulating a given triangle mesh. After constructing an as smooth as possible symmetric cross field satisfying a sparse set of directional constraints (to capture the geometric structure of the surface), the mesh is cut open in order to enable a low distortion unfolding. Then a seamless globally smooth parametrization is computed whose iso-parameter lines follow the cross field directions. In contrast to previous methods, sparsely distributed directional constraints are sufficient to automatically determine the appropriate number, type and position of singularities in the quadrangulation. Both steps of the algorithm (cross field and parametrization) can be formulated as a mixed-integer problem which we solve very efficiently by an adaptive greedy solver. We show several complex examples where high quality quad meshes are generated in a fully automatic manner.