Global optimization
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Globally smooth parameterizations with low distortion
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
T-spline simplification and local refinement
ACM SIGGRAPH 2004 Papers
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Periodic global parameterization
ACM Transactions on Graphics (TOG)
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
Automatic and interactive mesh to T-spline conversion
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
Robust statistical estimation of curvature on discretized surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
Surface modeling with polynomial splines over hierarchical T-meshes
The Visual Computer: International Journal of Computer Graphics
N-symmetry direction field design
ACM Transactions on Graphics (TOG)
Spectral quadrangulation with orientation and alignment control
ACM SIGGRAPH Asia 2008 papers
Polynomial splines over hierarchical T-meshes
Graphical Models
ACM SIGGRAPH 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
Separatrix persistence: extraction of salient edges on surfaces using topological methods
SGP '09 Proceedings of the Symposium on Geometry Processing
Polynomial splines over general T-meshes
The Visual Computer: International Journal of Computer Graphics - Special Issue: CAD/Graphics 2009
Almost Isometric Mesh Parameterization through Abstract Domains
IEEE Transactions on Visualization and Computer Graphics
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Technical Section: Exoskeleton: Curve network abstraction for 3D shapes
Computers and Graphics
SMI 2011: Full Paper: Template-based quadrilateral meshing
Computers and Graphics
SMI 2011: Full Paper: Shape optimization of quad mesh elements
Computers and Graphics
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
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
Practical mixed-integer optimization for geometry processing
Proceedings of the 7th international conference on Curves and Surfaces
SMI 2012: Full Component-aware tensor-product trivariate splines of arbitrary topology
Computers and Graphics
Generation of bi-monotone patches from quadrilateral mesh for reverse engineering
Computer-Aided Design
Controlled-distortion constrained global parametrization
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
QEx: robust quad mesh extraction
ACM Transactions on Graphics (TOG)
Feature-aware partitions from the motorcycle graph
Computer-Aided Design
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High-order and regularly sampled surface representations are more efficient and compact than general meshes and considerably simplify many geometric modeling and processing algorithms. A number of recent algorithms for conversion of arbitrary meshes to regularly sampled form (typically quadrangulation) aim to align the resulting mesh with feature lines of the geometry. While resulting in a substantial improvement in mesh quality, feature alignment makes it difficult to obtain coarse regular patch partitions of the mesh. In this paper, we propose an approach to constructing patch layouts consisting of small numbers of quadrilateral patches while maintaining good feature alignment. To achieve this, we use quadrilateral T-meshes, for which the intersection of two faces may not be the whole edge or vertex, but a part of an edge. T-meshes offer more flexibility for reduction of the number of patches and vertices in a base domain while maintaining alignment with geometric features. At the same time, T-meshes retain many desirable features of quadrangulations, allowing construction of high-order representations, easy packing of regularly sampled geometric data into textures, as well as supporting different types of discretizations for physical simulation.