A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Extracting feature lines from 3D unstructured grids
VIS '97 Proceedings of the 8th conference on Visualization '97
Migration Processes I: The Continuous Case
Journal of Mathematical Imaging and Vision
Fast, Accurate and Consistent Modeling of Drainage andSurrounding Terrain
International Journal of Computer Vision
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
Interactive artistic rendering
NPAR '00 Proceedings of the 1st international symposium on Non-photorealistic animation and rendering
A survey of methods for recovering quadrics in triangle meshes
ACM Computing Surveys (CSUR)
Approximate envelope reconstruction for moving solids
Mathematical Methods for Curves and Surfaces
Modeling and Rendering of Points with Local Geometry
IEEE Transactions on Visualization and Computer Graphics
Normal vector voting: crease detection and curvature estimation on large, noisy meshes
Graphical Models - Special issue: Processing on large polygonal meshes
Smooth meshes for sketch-based freeform modeling
I3D '03 Proceedings of the 2003 symposium on Interactive 3D graphics
Recovering Surfaces from the Restoring Force
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Restricted delaunay triangulations and normal cycle
Proceedings of the nineteenth annual symposium on Computational geometry
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Suggestive contours for conveying shape
ACM SIGGRAPH 2003 Papers
Estimating differential quantities using polynomial fitting of osculating jets
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
On the angular defect of triangulations and the pointwise approximation of curvatures
Computer Aided Geometric Design
A novel cubic-order algorithm for approximating principal direction vectors
ACM Transactions on Graphics (TOG)
Feature sensitive mesh processing
SCCG '03 Proceedings of the 19th spring conference on Computer graphics
Estimating normal vectors and curvatures by centroid weights
Computer Aided Geometric Design
Light Collages: Lighting Design for Effective Visualization
VIS '04 Proceedings of the conference on Visualization '04
Discrete Laplace-Beltrami operators and their convergence
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Robust Estimation of Adaptive Tensors of Curvature by Tensor Voting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimating differential quantities using polynomial fitting of osculating jets
Computer Aided Geometric Design
Efficient partial-surface registration for 3D objects
Computer Vision and Image Understanding
ACM SIGGRAPH 2005 Papers
A Sampling Framework for Accurate Curvature Estimation in Discrete Surfaces
IEEE Transactions on Visualization and Computer Graphics
Symbolic Signatures for Deformable Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Visualization and Computer Graphics
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
Computer Aided Geometric Design
Body-based haptic interaction model for touch-enabled virtual environments
Presence: Teleoperators and Virtual Environments
Smooth meshes for sketch-based freeform modeling
ACM SIGGRAPH 2006 Courses
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Lines of Curvature for Polyp Detection in Virtual Colonoscopy
IEEE Transactions on Visualization and Computer Graphics
A 3D object classifier for discriminating manufacturing processes
Computers and Graphics
Salient critical points for meshes
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Computer Vision and Image Understanding
Smooth meshes for sketch-based freeform modeling
ACM SIGGRAPH 2007 courses
Robust principal curvatures on multiple scales
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
Estimation of the pressing force in blade forming application
MOAS'07 Proceedings of the 18th conference on Proceedings of the 18th IASTED International Conference: modelling and simulation
Principal curvatures from the integral invariant viewpoint
Computer Aided Geometric Design
Exact and interpolatory quadratures for curvature tensor estimation
Computer Aided Geometric Design
Moving parabolic approximation of point clouds
Computer-Aided Design
Technical Section: A direction-oriented sharpness dependent filter for 3D polygon meshes
Computers and Graphics
Consistent computation of first- and second-order differential quantities for surface meshes
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Differentials-based segmentation and parameterization for point-sampled surfaces
Journal of Computer Science and Technology
Line-art illustration of dynamic and specular surfaces
ACM SIGGRAPH Asia 2008 papers
Automatic Detection of the Back Valley on Scoliotic Trunk Using Polygonal Surface Curvature
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
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)
Extracting lines of curvature from noisy point clouds
Computer-Aided Design
Computer Aided Geometric Design
Curvature-aware adaptive re-sampling for point-sampled geometry
Computer-Aided Design
Development of feature segmentation algorithms for quadratic surfaces
Advances in Engineering Software
3D Mesh decomposition using Reeb graphs
Image and Vision Computing
Computing vertex normals from arbitrary meshes
ISCGAV'09 Proceedings of the 9th WSEAS international conference on Signal processing, computational geometry and artificial vision
Robust Voronoi-based curvature and feature estimation
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
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
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Discrete Laplace--Beltrami operators and their convergence
Computer Aided Geometric Design
Efficient partial-surface registration for 3D objects
Computer Vision and Image Understanding
Curvature estimation scheme for triangle meshes using biquadratic Bézier patches
Computer-Aided Design
A new CAD mesh segmentation method, based on curvature tensor analysis
Computer-Aided Design
Efficient surface reconstruction from noisy data using regularized membrane potentials
IEEE Transactions on Image Processing
Convergence of discrete Laplace-Beltrami operators over surfaces
Computers & Mathematics with Applications
Illustrative visualization: interrogating triangulated surfaces
Computing - Geometric Modelling, Dagstuhl 2008
Mesh saliency and human eye fixations
ACM Transactions on Applied Perception (TAP)
Estimation of the pressing force in blade forming application
MS '07 The 18th IASTED International Conference on Modelling and Simulation
New computation of normal vector and curvature
WSEAS Transactions on Computers
Curvature estimation over smooth polygonal meshes using the half tube formula
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
A robust watermarking based on feature points
Edutainment'07 Proceedings of the 2nd international conference on Technologies for e-learning and digital entertainment
Description, matching and retrieval by content of 3D objects
DELOS'07 Proceedings of the 1st international conference on Digital libraries: research and development
C1 continuities detection in triangular meshes
Computer-Aided Design
A local tangential lifting differential method for triangular meshes
Mathematics and Computers in Simulation
Robust and accurate curvature estimation using adaptive line integrals
EURASIP Journal on Advances in Signal Processing
GPU curvature estimation on deformable meshes
I3D '11 Symposium on Interactive 3D Graphics and Games
A vectorial rotation-invariant 3-D shape descriptor
CBMS'03 Proceedings of the 16th IEEE conference on Computer-based medical systems
Sampled medial loci for 3D shape representation
Computer Vision and Image Understanding
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
Journal of Computational Physics
Curvature estimation for meshes based on vertex normal triangles
Computer-Aided Design
A method for detection and modeling of the human spine based on principal curvatures
CIARP'06 Proceedings of the 11th Iberoamerican conference on Progress in Pattern Recognition, Image Analysis and Applications
A novel approach for computing partial similarity between 3d models
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
Active contours with level-set for extracting feature curves from triangular meshes
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
3D shape from unorganized 3d point clouds
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
An improved 2d colonic polyp segmentation framework based on gradient vector flow deformable model
Miar'06 Proceedings of the Third international conference on Medical Imaging and Augmented Reality
Segmentation of triangular meshes using multi-scale normal variation
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
Curvature correlograms for content based retrieval of 3d objects
ICIAP'05 Proceedings of the 13th international conference on Image Analysis and Processing
Curvature estimation of point-sampled surfaces and its applications
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
A multiresolutional approach for facial motion retargetting using subdivision wavelets
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
Brain image analysis using spherical splines
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Verification of engineering models based on bipartite graph matching for inspection applications
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Parallel feature-preserving mesh smoothing
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV
A 3d model feature-line extraction method using mesh sharpening
Edutainment'06 Proceedings of the First international conference on Technologies for E-Learning and Digital Entertainment
Surface mesh denoising with normal tensor framework
Graphical Models
Cooperative exploration of level surfaces of three dimensional scalar fields
Automatica (Journal of IFAC)
Graphical Models
EGWR'01 Proceedings of the 12th Eurographics conference on Rendering
Robust classification and analysis of anatomical surfaces using 3D skeletons
EG VCBM'08 Proceedings of the First Eurographics conference on Visual Computing for Biomedicine
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
Efficient surface reconstruction from noisy data using regularized membrane potentials
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Technical Section: Pencil rendering on 3D meshes using convolution
Computers and Graphics
A maximum enhancing higher-order tensor glyph
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
A shape enhancement technique based on multi-channel salience measure
CVM'12 Proceedings of the First international conference on Computational Visual Media
Objective and subjective evaluation of static 3D mesh compression
Image Communication
Consistent approximations of several geometric differential operators and their convergence
Applied Numerical Mathematics
A CPU-GPU framework for optimizing the quality of large meshes
Journal of Parallel and Distributed Computing
Advances in Engineering Software
Representational image generation for 3D objects
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
Improving three-dimensional point reconstruction from image correspondences using surface curvatures
Machine Vision and Applications
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Estimating principal curvatures and principal directions of a surface from a polyhedral approximation with a large number of small faces, such as those produced by iso-surface construction algorithms, has become a basic step in many computer vision algorithms, particularly in those targeted at medical applications. We describe a method to estimate the tensor of curvature of a surface at the vertices of a polyhedral approximation. Principal curvatures and principal directions are obtained by computing in closed form the eigenvalues and eigenvectors of certain 3/spl times/3 symmetric matrices defined by integral formulas, and closely related to the matrix representation of the tensor of curvature. The resulting algorithm is linear, both in time and in space, as a function of the number of vertices and faces of the polyhedral surface.