SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Anisotropic mesh transformations and optimal error control
Proceedings of the third ARO workshop on Adaptive methods for partial differential equations
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Image-guided streamline placement
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Illustrating transparent surfaces with curvature-directed strokes
Proceedings of the 7th conference on Visualization '96
Proceedings of the 24th 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
Simplifying surfaces with color and texture using quadric error metrics
Proceedings of the conference on Visualization '98
Optimal triangulation and quadric-based surface simplification
Computational Geometry: Theory and Applications - Special issue on multi-resolution modelling and 3D geometry compression
Line direction matters: an argument for the use of principal directions in 3D line drawings
NPAR '00 Proceedings of the 1st international symposium on Non-photorealistic animation and rendering
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
On the design of CGAL a computational geometry algorithms library
Software—Practice & Experience - Special issue on discrete algorithm engineering
A flow-guided streamline seeding strategy
Proceedings of the conference on Visualization '00
Interactive geometry remeshing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Numerical Recipes in C: The Art of Scientific Computing
Numerical Recipes in C: The Art of Scientific Computing
Signal-specialized parametrization
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Are Bilinear Quadrilaterals Better Than Linear Triangles?
SIAM Journal on Scientific Computing
Polynomial generation and quasi-interlpolation in stationary non-uniform subdivision
Computer Aided Geometric Design
Restricted delaunay triangulations and normal cycle
Proceedings of the nineteenth annual symposium on Computational geometry
Line-Art Rendering of 3D-Models
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
SMI '03 Proceedings of the Shape Modeling International 2003
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
The topology of symmetric, second-order tensor fields
VIS '94 Proceedings of the conference on Visualization '94
Restricted delaunay triangulations and normal cycle
Proceedings of the nineteenth annual symposium on Computational geometry
Domain decomposition for multiresolution analysis
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Wavelet-based blind watermarking of 3D models
Proceedings of the 2004 workshop on Multimedia and security
Parameterization of triangle meshes over quadrilateral domains
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
An integrating approach to meshing scattered point data
Proceedings of the 2005 ACM symposium on Solid and physical modeling
ABF++: fast and robust angle based flattening
ACM Transactions on Graphics (TOG)
Surface compression with geometric bandelets
ACM SIGGRAPH 2005 Papers
A Sampling Framework for Accurate Curvature Estimation in Discrete Surfaces
IEEE Transactions on Visualization and Computer Graphics
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Mesh scissoring with minima rule and part salience
Computer Aided Geometric Design - Special issue: Geometry processing
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Perceptually driven interactive geometry remeshing
I3D '06 Proceedings of the 2006 symposium on Interactive 3D graphics and games
A Bayesian method for probable surface reconstruction and decimation
ACM Transactions on Graphics (TOG)
Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics (TOG)
Proceedings of the 4th international symposium on Non-photorealistic animation and rendering
Geodesic Remeshing Using Front Propagation
International Journal of Computer Vision
Partial and approximate symmetry detection for 3D geometry
ACM SIGGRAPH 2006 Papers
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
A composite approach to meshing scattered data
Graphical Models - Special issue on SPM 05
Vector field design on surfaces
ACM Transactions on Graphics (TOG)
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Interactive design and visualization of tensor fields on surfaces
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
Interactive Tensor Field Design and Visualization on Surfaces
IEEE Transactions on Visualization and Computer Graphics
Lines of Curvature for Polyp Detection in Virtual Colonoscopy
IEEE Transactions on Visualization and Computer Graphics
Out-of-Core Remeshing of Large Polygonal Meshes
IEEE Transactions on Visualization and Computer Graphics
Optimization techniques for approximation with subdivision surfaces
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Manifold-based approach to semi-regular remeshing
Graphical Models
3D triangular mesh optimization in geometry processing for CAD
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition
IEEE Transactions on Visualization and Computer Graphics
Conformal Geometry and Its Applications on 3D Shape Matching, Recognition, and Stitching
IEEE Transactions on Pattern Analysis and Machine Intelligence
A roughness measure for 3D mesh visual masking
Proceedings of the 4th symposium on Applied perception in graphics and visualization
Rotational symmetry field design on surfaces
ACM SIGGRAPH 2007 papers
Geometry of multi-layer freeform structures for architecture
ACM SIGGRAPH 2007 papers
Non-iterative approach for global mesh optimization
Computer-Aided Design
Lines of curvature and umbilical points for implicit surfaces
Computer Aided Geometric Design
Smooth feature lines on surface meshes
SGP '05 Proceedings of the third 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
Meshless geometric subdivision
Graphical Models
Principal curvatures from the integral invariant viewpoint
Computer Aided Geometric Design
Exact and interpolatory quadratures for curvature tensor estimation
Computer Aided Geometric Design
Navigating in a Shape Space of Registered Models
IEEE Transactions on Visualization and Computer Graphics
A continuum theory for unstructured mesh generation in two dimensions
Computer Aided Geometric Design
An efficient approximation of arbitrary curves and surfaces using intersecting polylines and meshes
Advances in Engineering Software
N-symmetry direction field design
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2008 papers
Interactive procedural street modeling
ACM SIGGRAPH 2008 papers
Technical Section: A simple and flexible framework to adapt dynamic meshes
Computers and Graphics
An incremental approach to feature aligned quad dominant remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Volumetric parameterization and trivariate b-spline fitting using harmonic functions
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Controlled field generation for quad-remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Spectral quadrangulation with orientation and alignment control
ACM SIGGRAPH Asia 2008 papers
Quadrilateral mesh simplification
ACM SIGGRAPH Asia 2008 papers
A local roughness measure for 3D meshes and its application to visual masking
ACM Transactions on Applied Perception (TAP)
Integral invariants for robust geometry processing
Computer Aided Geometric Design
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Extracting lines of curvature from noisy point clouds
Computer-Aided Design
ACM SIGGRAPH 2009 papers
Volumetric parameterization and trivariate B-spline fitting using harmonic functions
Computer Aided Geometric Design
Technical Section: Content-aware model resizing based on surface deformation
Computers and Graphics
Feature-aligned shape texturing
ACM SIGGRAPH Asia 2009 papers
Robust principal curvatures using feature adapted integral invariants
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Easy integral surfaces: a fast, quad-based stream and path surface algorithm
Proceedings of the 2009 Computer Graphics International Conference
Geometry-aware direction field processing
ACM Transactions on Graphics (TOG)
Computing lines of curvature for implicit surfaces
Computer Aided Geometric Design
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Mesh scissoring with minima rule and part salience
Computer Aided Geometric Design - Special issue: Geometry processing
Robust uniform triangulation algorithm for computer aided design
Computer-Aided Design
Incremental reconstruction of sharp edges on mesh surfaces
Computer-Aided Design
A new CAD mesh segmentation method, based on curvature tensor analysis
Computer-Aided Design
Adaptive polygonization of implicit surfaces
Computers and Graphics
Automatic construction of quadrilateral network of curves from triangular meshes
Advances in Engineering Software
Feature aligned quad dominant remeshing using iterative local updates
Computer-Aided Design
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
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
Triangle mesh optimization for improving rendering quality of 3D virtual environments
ICVR'07 Proceedings of the 2nd international conference on Virtual reality
Quadrangle surface tiling through contouring
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
A wave-based anisotropic quadrangulation method
ACM SIGGRAPH 2010 papers
Lp Centroidal Voronoi Tessellation and its applications
ACM SIGGRAPH 2010 papers
Applications of geometry and topology for quadrilateral meshprocessing and verifiable visualization
Proceedings of the twenty-sixth annual symposium on Computational geometry
Adaptive LOD editing of quad meshes
Proceedings of the 7th International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa
Anisotropic blue noise sampling
ACM SIGGRAPH Asia 2010 papers
Extraction of the lines of curvature from raw point cloud
Proceedings of the 9th ACM SIGGRAPH Conference on Virtual-Reality Continuum and its Applications in Industry
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
Constructing streak surfaces for 3D unsteady vector fields
Proceedings of the 26th Spring Conference on Computer Graphics
Technical Section: Tiling surfaces with cylinders using n-loops
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
Generalized shape operators on polyhedral surfaces
Computer Aided Geometric Design
Parametric representation of a surface pencil with a common line of curvature
Computer-Aided Design
Cultural Heritage: Symmetry and template guided completion of damaged skulls
Computers and Graphics
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
Technical Section: Meshless quadrangulation by global parameterization
Computers and Graphics
3D Facial expression recognition based on histograms of surface differential quantities
ACIVS'11 Proceedings of the 13th international conference on Advanced concepts for intelligent vision systems
Estimating principal properties on triangular meshes
ICHIT'11 Proceedings of the 5th international conference on Convergence and hybrid information technology
Quading triangular meshes with certain topological constraints
Journal of Computational and Applied Mathematics
Curvature estimation for meshes based on vertex normal triangles
Computer-Aided Design
Quadrangular parameterization for reverse engineering
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Couple points --- a local approach to global surface analysis
Proceedings of the 7th international conference on Curves and Surfaces
Adaptive tetrahedral remeshing for modified solid models
Graphical Models
Vertex location optimisation for improved remeshing
Graphical Models
The fast reject schema for part-in-whole 3D shape matching
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
Illustrative scientific visualization framework
Computational Aesthetics'05 Proceedings of the First Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging
Generation of bi-monotone patches from quadrilateral mesh for reverse engineering
Computer-Aided Design
Analytic Curve Skeletons for 3D Surface Modeling and Processing
Computer Graphics Forum
A curvature tensor distance for mesh visual quality assessment
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
An approach for designing a developable surface through a given line of curvature
Computer-Aided Design
Particle-based anisotropic surface meshing
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Abstracting images into continuous-line artistic styles
The Visual Computer: International Journal of Computer Graphics
Scalar field visualization via extraction of symmetric structures
The Visual Computer: International Journal of Computer Graphics
QEx: robust quad mesh extraction
ACM Transactions on Graphics (TOG)
Urban pattern: layout design by hierarchical domain splitting
ACM Transactions on Graphics (TOG)
Curvature tensor computation by piecewise surface interpolation
Computer-Aided Design
ACM Transactions on Graphics (TOG)
3D dental biometrics: Alignment and matching of dental casts for human identification
Computers in Industry
Feature-aware partitions from the motorcycle graph
Computer-Aided Design
Tool-adaptive offset paths on triangular mesh workpiece surfaces
Computer-Aided Design
Connectivity editing for quad-dominant meshes
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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In this paper, we propose a novel polygonal remeshing technique that exploits a key aspect of surfaces: the intrinsic anisotropy of natural or man-made geometry. In particular, we use curvature directions to drive the remeshing process, mimicking the lines that artists themselves would use when creating 3D models from scratch. After extracting and smoothing the curvature tensor field of an input genus-0 surface patch, lines of minimum and maximum curvatures are used to determine appropriate edges for the remeshed version in anisotropic regions, while spherical regions are simply point sampled since there is no natural direction of symmetry locally. As a result our technique generates polygon meshes mainly composed of quads in anisotropic regions, and of triangles in spherical regions. Our approach provides the flexibility to produce meshes ranging from isotropic to anisotropic, from coarse to dense, and from uniform to curvature adapted.