A simple algorithm for homeomorphic surface reconstruction
Proceedings of the sixteenth annual symposium on Computational geometry
On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
Computer Aided Geometric Design
Hierarchical morse complexes for piecewise linear 2-manifolds
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
Smooth-surface reconstruction in near-linear time
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Generalized Curvatures
Molecular shape analysis based upon the morse-smale complex and the connolly function
Proceedings of the nineteenth annual symposium on Computational geometry
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Estimating differential quantities using polynomial fitting of osculating jets
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
Estimating differential quantities using polynomial fitting of osculating jets
Computer Aided Geometric Design
Inequalities for the curvature of curves and surfaces
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
Linear rotation-invariant coordinates for meshes
ACM SIGGRAPH 2005 Papers
Master-element vector irradiance for large tessellated models
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Provably good sampling and meshing of surfaces
Graphical Models - Solid modeling theory and applications
Geodesic Remeshing Using Front Propagation
International Journal of Computer Vision
Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
Computer Aided Geometric Design
Partial and approximate symmetry detection for 3D geometry
ACM SIGGRAPH 2006 Papers
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Periodic global parameterization
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2006 Courses
A discrete model of thin shells
ACM SIGGRAPH 2006 Courses
Discrete quadratic curvature energies
ACM SIGGRAPH 2006 Courses
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Robust Feature Classification and Editing
IEEE Transactions on Visualization and Computer Graphics
Interactive Tensor Field Design and Visualization on Surfaces
IEEE Transactions on Visualization and Computer Graphics
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A discrete model of thin shells
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
An effective condition for sampling surfaces with guarantees
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Generating surface crack patterns
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Technical Section: Subdivision surface watermarking
Computers and Graphics
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
Computer Vision and Image Understanding
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
Robust principal curvatures on multiple scales
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
A quadratic bending model for inextensible surfaces
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
Focal surfaces of discrete geometry
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Shape optimization using reflection lines
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Constraint-based fairing of surface meshes
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Principal curvatures from the integral invariant viewpoint
Computer Aided Geometric Design
Exact and interpolatory quadratures for curvature tensor estimation
Computer Aided Geometric Design
Discrete quadratic curvature energies
Computer Aided Geometric Design
Moving parabolic approximation of point clouds
Computer-Aided Design
An incremental approach to feature aligned quad dominant remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Consistent computation of first- and second-order differential quantities for surface meshes
Proceedings of the 2008 ACM symposium on Solid and physical modeling
ACM Transactions on Mathematical Software (TOMS)
Line-art illustration of dynamic and specular surfaces
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
Data-driven curvature for real-time line drawing of dynamic scenes
ACM Transactions on Graphics (TOG)
Discrete schemes for Gaussian curvature and their convergence
Computers & Mathematics with Applications
Extracting lines of curvature from noisy point clouds
Computer-Aided Design
ACM SIGGRAPH 2009 papers
From Segmented Images to Good Quality Meshes Using Delaunay Refinement
Emerging Trends in Visual Computing
Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy
Emerging Trends in Visual Computing
Computer Aided Geometric Design
3D Mesh decomposition using Reeb graphs
Image and Vision Computing
Robust Voronoi-based curvature and feature estimation
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Robust principal curvatures using feature adapted integral invariants
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Estimating differential quantities using polynomial fitting of osculating jets
Computer Aided Geometric Design
Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
Computer Aided Geometric Design
A new CAD mesh segmentation method, based on curvature tensor analysis
Computer-Aided Design
Generating surface crack patterns
Graphical Models
Feature aligned quad dominant remeshing using iterative local updates
Computer-Aided Design
New computation of normal vector and curvature
WSEAS Transactions on Computers
Separatrix persistence: extraction of salient edges on surfaces using topological methods
SGP '09 Proceedings of the Symposium on Geometry Processing
Patch layout from feature graphs
Computer-Aided Design
Curvature estimation over smooth polygonal meshes using the half tube formula
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
A wave-based anisotropic quadrangulation method
ACM SIGGRAPH 2010 papers
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
A local tangential lifting differential method for triangular meshes
Mathematics and Computers in Simulation
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
Sampled medial loci for 3D shape representation
Computer Vision and Image Understanding
Generalized shape operators on polyhedral surfaces
Computer Aided Geometric Design
Modeling smooth shape using subdivision on differential coordinates
Computer-Aided Design
General planar quadrilateral mesh design using conjugate direction field
Proceedings of the 2011 SIGGRAPH Asia Conference
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
Computer Aided Geometric Design
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
3D shape from unorganized 3d point clouds
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
Design of self-supporting surfaces
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Graphical Models
Markov random fields for improving 3D mesh analysis and segmentation
EG 3DOR'08 Proceedings of the 1st Eurographics conference on 3D Object Retrieval
Stippling and silhouettes rendering in geometry-image space
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
An environment for the analysis and reconstruction of archaeological objects
VAST'04 Proceedings of the 5th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
3D orientation of archaeological fragments coming from a Gothic spire
VAST'04 Proceedings of the 5th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
3D shape analysis for liver-gallbladder anatomical structure retrieval
MICCAI'12 Proceedings of the 4th international conference on Abdominal Imaging: computational and clinical applications
A curvature tensor distance for mesh visual quality assessment
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
Consistent approximations of several geometric differential operators and their convergence
Applied Numerical Mathematics
Globally optimal direction fields
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Scalar field visualization via extraction of symmetric structures
The Visual Computer: International Journal of Computer Graphics
SMI 2013: Generalized extrinsic distortion and applications
Computers and Graphics
Curvature tensor computation by piecewise surface interpolation
Computer-Aided Design
Ray geometry in non-pinhole cameras: a survey
The Visual Computer: International Journal of Computer Graphics
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We address the problem of curvature estimation from sampled smooth surfaces. Building upon the theory of normal cycles, we derive a definition of the curvature tensor for polyhedral surfaces. This definition consists in a very simple and new formula. When applied to a polyhedral approximation of a smooth surface, it yields an efficient and reliable curvature estimation algorithm. Moreover, we bound the difference between the estimated curvature and the one of the smooth surface in the case of restricted Delaunay triangulations.