Measurement of protein surface shape by solid angles
Journal of Molecular Graphics
Range Image Segmentation Based on Differential Geometry: A Hybrid Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric invariance in computer vision
Sub-pixel distance maps and weighted distance transforms
Journal of Mathematical Imaging and Vision - Special issue on topology and geometry in computer vision
Adaptively sampled distance fields: a general representation of shape for computer graphics
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)
Simplification and Repair of Polygonal Models Using Volumetric Techniques
IEEE Transactions on Visualization and Computer Graphics
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
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
Estimating Curvatures and Their Derivatives on Triangle Meshes
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Robust Estimation of Adaptive Tensors of Curvature by Tensor Voting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast Sweeping Methods for Static Hamilton--Jacobi Equations
SIAM Journal on Numerical Analysis
Reassembling fractured objects by geometric matching
ACM SIGGRAPH 2006 Papers
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
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
Principal curvatures from the integral invariant viewpoint
Computer Aided Geometric Design
Finding ridges and valleys in a discrete surface using a modified MLS approximation
Computer-Aided Design
Curvature estimation scheme for triangle meshes using biquadratic Bézier patches
Computer-Aided Design
Surface registration markers from range scan data
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
Robust Voronoi-based curvature and feature estimation
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
A New Segmentation Approach for Old Fractured Pieces
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part II
A concise and provably informative multi-scale signature based on heat diffusion
SGP '09 Proceedings of the Symposium on Geometry Processing
Stability of curvature measures
SGP '09 Proceedings of the Symposium on Geometry Processing
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Loosely distinctive features for robust surface alignment
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part V
Hough transform and 3D SURF for robust three dimensional classification
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part VI
Feature-preserving mesh denoising based on vertices classification
Computer Aided Geometric Design
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
Short Communication to SMI 2011: CAD mesh model segmentation by clustering
Computers and Graphics
Generalized shape operators on polyhedral surfaces
Computer Aided Geometric Design
Complex and photo-realistic scene representation based on range planar segmentation and model fusion
International Journal of Robotics Research
Metric structures on datasets: stability and classification of algorithms
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part II
Computer Aided Geometric Design
Planar shape representation and matching under projective transformation
Computer Vision and Image Understanding
Growing Least Squares for the Analysis of Manifolds in Scale-Space
Computer Graphics Forum
Local shape descriptors, a survey and evaluation
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
GigaMesh and gilgamesh: –3D multiscale integral invariant cuneiform character extraction
VAST'10 Proceedings of the 11th International conference on Virtual Reality, Archaeology and Cultural Heritage
Leafsnap: a computer vision system for automatic plant species identification
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
A Scale Independent Selection Process for 3D Object Recognition in Cluttered Scenes
International Journal of Computer Vision
Integral based curvature estimators in digital geometry
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
SMI 2013: Generalized extrinsic distortion and applications
Computers and Graphics
Fast rotation search for real-time interactive point cloud registration
Proceedings of the 18th meeting of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games
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Differential invariants of curves and surfaces such as curvatures and their derivatives play a central role in Geometry Processing. They are, however, sensitive to noise and minor perturbations and do not exhibit the desired multi-scale behavior. Recently, the relationships between differential invariants and certain integrals over small neighborhoods have been used to define efficiently computable integral invariants which have both a geometric meaning and useful stability properties. This paper considers integral invariants defined via distance functions, and the stability analysis of integral invariants in general. Such invariants proved useful for many tasks where the computation of shape characteristics is important. A prominent and recent example is the automatic reassembling of broken objects based on correspondences between fracture surfaces.