Measurement of protein surface shape by solid angles
Journal of Molecular Graphics
Object recognition based on moment (or algebraic) invariants
Geometric invariance in computer vision
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
Restricted delaunay triangulations and normal cycle
Proceedings of the nineteenth annual symposium on Computational geometry
Molecular shape analysis based upon the morse-smale complex and the connolly function
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
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
A novel cubic-order algorithm for approximating principal direction vectors
ACM Transactions on Graphics (TOG)
Robust Feature Detection and Local Classification for Surfaces Based on Moment Analysis
IEEE Transactions on Visualization and Computer Graphics
Feature sensitive multiscale editing on surfaces
The Visual Computer: International Journal of Computer Graphics
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
Developable surface fitting to point clouds
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
Fast and robust detection of crest lines on meshes
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Smooth feature lines on surface meshes
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Robust principal curvatures on multiple scales
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Voronoi-based variational reconstruction of unoriented point sets
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
4-points congruent sets for robust pairwise surface registration
ACM SIGGRAPH 2008 papers
Integral invariants for robust geometry processing
Computer Aided Geometric Design
Robust principal curvatures using feature adapted integral invariants
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Stability of curvature measures
SGP '09 Proceedings of the Symposium on Geometry Processing
Patch layout from feature graphs
Computer-Aided Design
Robust and accurate curvature estimation using adaptive line integrals
EURASIP Journal on Advances in Signal Processing
Short Communication to SMI 2011: CAD mesh model segmentation by clustering
Computers and Graphics
Transformed polynomials for global registration of point clouds
Proceedings of the 27th Spring Conference on Computer Graphics
Integral based curvature estimators in digital geometry
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
Curvature tensor computation by piecewise surface interpolation
Computer-Aided Design
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The extraction of curvature information for surfaces is a basic problem of Geometry Processing. Recently an integral invariant solution of this problem was presented, which is based on principal component analysis of local neighborhoods defined by kernel balls of various sizes. It is not only robust to noise, but also adjusts to the level of detail required. In the present paper we show an asymptotic analysis of the moments of inertia and the principal directions which are used in this approach. We also address implementation and, briefly, robustness issues and applications.