Transformation and weighting in regression
Transformation and weighting in regression
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Surface Parametrization and Curvature Measurement of Arbitrary 3-D Objects: Five Practical Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Curvature approximation for triangulated surfaces
Geometric modelling
Robust Parameter Estimation in Computer Vision
SIAM Review
Weights for computing vertex normals from facet normals
Journal of Graphics Tools
Optimal triangulation and quadric-based surface simplification
Computational Geometry: Theory and Applications - Special issue on multi-resolution modelling and 3D geometry compression
Anisotropic geometric diffusion in surface processing
Proceedings of the conference on Visualization '00
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Computer Vision: A Modern Approach
Computer Vision: A Modern Approach
Normal vector voting: crease detection and curvature estimation on large, noisy meshes
Graphical Models - Special issue: Processing on large polygonal meshes
Intrinsic Surface Properties from Surface Triangulation
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Restricted delaunay triangulations and normal cycle
Proceedings of the nineteenth annual symposium on Computational geometry
Estimating surface normals in noisy point cloud data
Proceedings of the nineteenth annual symposium on Computational geometry
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Model-based 2D&3D dominant motion estimation for mosaicing and video representation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
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
A novel cubic-order algorithm for approximating principal direction vectors
ACM Transactions on Graphics (TOG)
Estimating Curvatures and Their Derivatives on Triangle Meshes
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Normal Based Estimation of the Curvature Tensor for Triangular Meshes
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Robust Estimation of Adaptive Tensors of Curvature by Tensor Voting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast exact and approximate geodesics on meshes
ACM SIGGRAPH 2005 Papers
Extraction and remeshing of ellipsoidal representations from mesh data
GI '05 Proceedings of Graphics Interface 2005
A Bayesian method for probable surface reconstruction and decimation
ACM Transactions on Graphics (TOG)
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Partial and approximate symmetry detection for 3D geometry
ACM SIGGRAPH 2006 Papers
Reassembling fractured objects by geometric matching
ACM SIGGRAPH 2006 Papers
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Discrete differential forms for computational modeling
ACM SIGGRAPH 2006 Courses
Robust Feature Classification and Editing
IEEE Transactions on Visualization and Computer Graphics
A first-order analysis of lighting, shading, and shadows
ACM Transactions on Graphics (TOG)
Parameterization-free projection for geometry reconstruction
ACM SIGGRAPH 2007 papers
Smooth feature lines on surface meshes
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Folding meshes: hierarchical mesh segmentation based on planar symmetry
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
Exact and interpolatory quadratures for curvature tensor estimation
Computer Aided Geometric Design
A new CAD mesh segmentation method, based on curvature tensor analysis
Computer-Aided 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
Curvature-aware adaptive re-sampling for point-sampled geometry
Computer-Aided Design
Sketch-Based Interfaces and Modeling (SBIM): Sketching piecewise clothoid curves
Computers and Graphics
Robust principal curvatures using feature adapted integral invariants
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
ACM Transactions on Graphics (TOG)
Stability of curvature measures
SGP '09 Proceedings of the Symposium on Geometry Processing
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
Slices: a shape-proxy based on planar sections
Proceedings of the 2011 SIGGRAPH Asia Conference
Computer Aided Geometric Design
Adaptive simplification of huge sets of terrain grid data for geosciences applications
Journal of Computational and Applied Mathematics
Surface mesh denoising with normal tensor framework
Graphical Models
Line drawings vs. curvature shading: scientific illustration of range scanned artefacts
Computational Aesthetics'10 Proceedings of the Sixth international conference on Computational Aesthetics in Graphics, Visualization and Imaging
Sketching piecewise clothoid curves
SBM'08 Proceedings of the Fifth Eurographics conference on Sketch-Based Interfaces and Modeling
Feature line extraction from unorganized noisy point clouds using truncated Fourier series
The Visual Computer: International Journal of Computer Graphics
SMI 2013: Generalized extrinsic distortion and applications
Computers and Graphics
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A robust statistics approach to curvature estimation on discretely sampled surfaces, namely polygon meshes and point clouds, is presented. The method exhibits accuracy, stability and consistency even for noisy, non-uniformly sampled surfaces with irregular configurations. Within an M-estimation framework, the algorithm is able to reject noise and structured outliers by sampling normal variations in an adaptively reweighted neighborhood around each point. The algorithm can be used to reliably derive higher order differential attributes and even correct noisy surface normals while preserving the fine features of the normal and curvature field. The approach is compared with state-of-the-art curvature estimation methods and shown to improve accuracy by up to an order of magnitude across ground truth test surfaces under varying tessellation densities and types as well as increasing degrees of noise. Finally, the benefits of a robust statistical estimation of curvature are illustrated by applying it to the popular applications of mesh segmentation and suggestive contour rendering.