A Sampling Framework for Accurate Curvature Estimation in Discrete Surfaces
IEEE Transactions on Visualization and Computer Graphics
Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics (TOG)
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
A first-order analysis of lighting, shading, and shadows
ACM Transactions on Graphics (TOG)
A 3D object classifier for discriminating manufacturing processes
Computers and Graphics
Approximate convex decomposition of polyhedra
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Apparent ridges for line drawing
ACM SIGGRAPH 2007 papers
Rotational symmetry field design on surfaces
ACM SIGGRAPH 2007 papers
Robust statistical estimation of curvature on discretized surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Exact and interpolatory quadratures for curvature tensor estimation
Computer Aided Geometric Design
An Effective Illustrative Visualization Framework Based on Photic Extremum Lines (PELs)
IEEE Transactions on Visualization and Computer Graphics
Moving parabolic approximation of point clouds
Computer-Aided Design
Direct sampling on surfaces for high quality 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
Apparent relief: a shape descriptor for stylized shading
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Line-art illustration of dynamic and specular surfaces
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Demarcating curves for shape illustration
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Approximate convex decomposition of polyhedra and its applications
Computer Aided Geometric Design
A Novel Method for Cortical Sulcal Fundi Extraction
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Fast, robust, and faithful methods for detecting crest lines on meshes
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Integral invariants for robust geometry processing
Computer Aided Geometric Design
Data-driven curvature for real-time line drawing of dynamic scenes
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An anisotropic scale-invariant unstructured mesh generator suitable for volumetric imaging data
Journal of Computational Physics
Laplacian lines for real-time shape illustration
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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
Direct sampling on surfaces for high quality remeshing
Computer Aided Geometric Design
A phase field model for vesicle-substrate adhesion
Journal of Computational Physics
Automatic Cortical Sulcal Parcellation Based on Surface Principal Direction Flow Field Tracking
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Curvature estimation scheme for triangle meshes using biquadratic Bézier patches
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Stability of curvature measures
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A local tangential lifting differential method for triangular meshes
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GPU curvature estimation on deformable meshes
I3D '11 Symposium on Interactive 3D Graphics and Games
Sampled medial loci for 3D shape representation
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Line drawings abstraction from 3D models
Transactions on edutainment V
3D Line Drawing for Archaeological Illustration
International Journal of Computer Vision
Estimating principal properties on triangular meshes
ICHIT'11 Proceedings of the 5th international conference on Convergence and hybrid information technology
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Curvature estimation for meshes based on vertex normal triangles
Computer-Aided Design
3D shape from unorganized 3d point clouds
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
Ridge-valley lines smoothing and optimizing
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
Brain image analysis using spherical splines
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Crease detection on noisy meshes via probabilistic scale selection
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part II
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Technical Section: Pencil rendering on 3D meshes using convolution
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Curvature tensor computation by piecewise surface interpolation
Computer-Aided Design
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Streamlines for illustrative real-time rendering
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The computation of curvature and other differential properties of surfaces is essential formany techniques in analysis and rendering. We present a finite-differences approach for estimating curvatures on irregular triangle meshes that may be thought of as an extension of a common method for estimating per-vertex normals. The technique is efficient in space and time, and results in significantly fewer outlier estimates while more broadly offering accuracy comparable to existing methods. It generalizes naturally to computing derivatives of curvature and higher-order surface differentials.