SIAM Review
Globally smooth parameterizations with low distortion
ACM SIGGRAPH 2003 Papers
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
ACM Transactions on Mathematical Software (TOMS)
Direct Anisotropic Quad-Dominant Remeshing
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Parameterization of triangle meshes over quadrilateral domains
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Fast and robust detection of crest lines on meshes
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Inviscid and incompressible fluid simulation on triangle meshes: Research Articles
Computer Animation and Virtual Worlds - Special Issue: The Very Best Papers from CASA 2004
As-rigid-as-possible shape manipulation
ACM SIGGRAPH 2005 Papers
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Design of tangent vector fields
ACM SIGGRAPH 2007 papers
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
A topological hierarchy for functions on triangulated surfaces
IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2009 papers
Technical Section: Dynamic harmonic fields for surface processing
Computers and Graphics
Technical Section: Computing smooth approximations of scalar functions with constraints
Computers and Graphics
ACM SIGGRAPH ASIA 2009 Courses
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
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
Technical Section: Fiedler trees for multiscale surface analysis
Computers and Graphics
ACM SIGGRAPH 2010 Courses
Technical Section: Tiling surfaces with cylinders using n-loops
Computers and Graphics
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
Differential domain analysis for non-uniform sampling
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
General planar quadrilateral mesh design using conjugate direction field
Proceedings of the 2011 SIGGRAPH Asia Conference
Simple quad domains for field aligned mesh parametrization
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
Elements of geometry processing
SIGGRAPH Asia 2011 Courses
Quadrangular parameterization for reverse engineering
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Eigenmodes of surface energies for shape analysis
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
Dual loops meshing: quality quad layouts on manifolds
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Modal shape analysis beyond Laplacian
Computer Aided Geometric Design
All-hex meshing using singularity-restricted field
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Sketch-based generation and editing of quad meshes
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)
Feature-aware partitions from the motorcycle graph
Computer-Aided Design
| Hi-index | 0.00 |
This paper presents a new quadrangulation algorithm, extending the spectral surface quadrangulation approach where the coarse quadrangular structure is derived from the Morse-Smale complex of an eigenfunction of the Laplacian operator on the input mesh. In contrast to the original scheme, we provide flexible explicit controls of the shape, size, orientation and feature alignment of the quadrangular faces. We achieve this by proper selection of the optimal eigenvalue (shape), by adaption of the area term in the Laplacian operator (size), and by adding special constraints to the Laplace eigenproblem (orientation and alignment). By solving a generalized eigen-problem we can generate a scalar field on the mesh whose Morse-Smale complex is of high quality and satisfies all the user requirements. The final quadrilateral mesh is generated from the Morse-Smale complex by computing a globally smooth parametrization. Here we additionally introduce edge constraints to preserve user specified feature lines accurately.