Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Converting triangulations to quadrangulations
Computational Geometry: Theory and Applications
Data structures for weighted matching and nearest common ancestors with linking
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
Hybrid meshes: multiresolution using regular and irregular refinement
Proceedings of the eighteenth annual symposium on Computational geometry
Multiresolution feature extraction for unstructured meshes
Proceedings of the conference on Visualization '01
Globally smooth parameterizations with low distortion
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Sampling and meshing a surface with guaranteed topology and geometry
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
T-spline simplification and local refinement
ACM SIGGRAPH 2004 Papers
Geometry clipmaps: terrain rendering using nested regular grids
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Cross-parameterization and compatible remeshing of 3D models
ACM SIGGRAPH 2004 Papers
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
IEEE Transactions on Visualization and Computer Graphics
Parameterization of triangle meshes over quadrilateral domains
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
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)
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Rotational symmetry field design on surfaces
ACM SIGGRAPH 2007 papers
Smooth feature lines on surface meshes
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Rectangular multi-chart geometry images
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
An incremental approach to feature aligned quad dominant remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Algorithm 887: CHOLMOD, Supernodal Sparse Cholesky Factorization and Update/Downdate
ACM Transactions on Mathematical Software (TOMS)
Spectral quadrangulation with orientation and alignment control
ACM SIGGRAPH Asia 2008 papers
Dynamic Supernodes in Sparse Cholesky Update/Downdate and Triangular Solves
ACM Transactions on Mathematical Software (TOMS)
ACM SIGGRAPH 2009 papers
Technical Section: Dynamic harmonic fields for surface processing
Computers and Graphics
Feature-aligned shape texturing
ACM SIGGRAPH Asia 2009 papers
Geometry-aware direction field processing
ACM Transactions on Graphics (TOG)
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
Almost Isometric Mesh Parameterization through Abstract Domains
IEEE Transactions on Visualization and Computer Graphics
Template-Based Remeshing for Image Decomposition
SIBGRAPI '10 Proceedings of the 2010 23rd SIBGRAPI Conference on Graphics, Patterns and Images
Combinatorial Optimization: Theory and Algorithms
Combinatorial Optimization: Theory and Algorithms
Sketch-based generation and editing of quad meshes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Technical Section: Adaptive multi-chart and multiresolution mesh representation
Computers and Graphics
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Generating quadrilateral meshes is a highly non-trivial task, as design decisions are frequently driven by specific application demands. Automatic techniques can optimize objective quality metrics, such as mesh regularity, orthogonality, alignment and adaptivity; however, they cannot make subjective design decisions. There are a few quad meshing approaches that offer some mechanisms to include the user in the mesh generation process; however, these techniques either require a large amount of user interaction or do not provide necessary or easy to use inputs. Here, we propose a template-based approach for generating quad-only meshes from triangle surfaces. Our approach offers a flexible mechanism to allow external input, through the definition of alignment features that are respected during the mesh generation process. While allowing user inputs to support subjective design decisions, our approach also takes into account objective quality metrics to produce semi-regular, quad-only meshes that align well to desired surface features.