IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimum Uniform Piecewise Linear Approximation of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
An improved corner detection algorithm based on chain-coded plane curves
Pattern Recognition
Zero crossings on lines of curvature
Computer Vision, Graphics, and Image Processing
Shape Representation by Multiscale Contour Approximation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition
Scale-Based Detection of Corners of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
CVGIP: Image Understanding
Shape representation and recognition from multiscale curvature
Computer Vision and Image Understanding
Differential and Numerically Invariant Signature Curves Applied to Object Recognition
International Journal of Computer Vision
Robust Image Corner Detection Through Curvature Scale Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
Numerically Invariant Signature Curves
International Journal of Computer Vision
Curve Segmentation Under Partial Occlusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curve Evolution for Corner Enhancement
ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 1 - Volume 1
Arc-Length Based Curvature Estimator
SIBGRAPI '04 Proceedings of the Computer Graphics and Image Processing, XVII Brazilian Symposium
An Axis-Based Representation for Recognition
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
A Comparative Study on 2D Curvature Estimators
ICCTA '07 Proceedings of the International Conference on Computing: Theory and Applications
Skeleton Pruning by Contour Partitioning with Discrete Curve Evolution
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Corner-Finding Algorithm for Chain-Coded Curves
IEEE Transactions on Computers
An Improved Method of Angle Detection on Digital Curves
IEEE Transactions on Computers
Error-bounds on curvature estimation
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Multiscale curvature-based shape representation using B-spline wavelets
IEEE Transactions on Image Processing
A multiscale representation method for nonrigid shapes with a single closed contour
IEEE Transactions on Circuits and Systems for Video Technology
Classification of silhouettes using contour fragments
Computer Vision and Image Understanding
Anisotropic diffusion for effective shape corner point detection
Pattern Recognition Letters
Circular arc reconstruction of digital contours with chosen Hausdorff error
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Orientation and anisotropy of multi-component shapes from boundary information
Pattern Recognition
Accurate curvature estimation along digital contours with maximal digital circular arcs
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Shape matching and classification using height functions
Pattern Recognition Letters
ADR shape descriptor - Distance between shape centroids versus shape diameter
Computer Vision and Image Understanding
Occlusion cues for image scene layering
Computer Vision and Image Understanding
A combined multi-scale/irregular algorithm for the vectorization of noisy digital contours
Computer Vision and Image Understanding
Image retrieval using wavelet transform and shape decomposition
Proceedings of the 7th International Conference on Ubiquitous Information Management and Communication
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In this paper, we propose a new definition of curvature, called visual curvature. It is based on statistics of the extreme points of the height functions computed over all directions. By gradually ignoring relatively small heights, a multi-scale curvature is obtained. The theoretical properties and the experiments presented demonstrate that multi-scale visual curvature is stable, even in the presence of significant noise. To our best knowledge, the proposed definition of visual curvature is the first ever that applies to regular curves as defined in differential geometry as well as to turn angles of polygonal curves. Moreover, it yields stable curvature estimates of curves in digital images even under sever distortions. We also show a relation between multi-scale visual curvature and convexity of simple closed curves.