CVGIP: Image Understanding
Digitizations preserving topological and differential geometric properties
Computer Vision and Image Understanding
Discrete Curvature Based on Osculating Circle Estimation
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Geometrical parameters extraction from discrete paths
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Optimal Time Computation of the Tangent of a Discrete Curve: Application to the Curvature
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Digital Geometry: Geometric Methods for Digital Picture Analysis
Digital Geometry: Geometric Methods for Digital Picture Analysis
A Comparative Study on 2D Curvature Estimators
ICCTA '07 Proceedings of the International Conference on Computing: Theory and Applications
Fast, accurate and convergent tangent estimation on digital contours
Image and Vision Computing
A Unified Curvature Definition for Regular, Polygonal, and Digital Planar Curves
International Journal of Computer Vision
Estimation of curvature along curves with application to fibres in 3D images of paper
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Binomial convolutions and derivatives estimation from noisy discretizations
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
On three constrained versions of the digital circular arc recognition problem
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Convergence of binomial-based derivative estimation for C2noisy discretized curves
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
A novel curvature estimator for digital curves and images
Proceedings of the 32nd DAGM conference on Pattern recognition
Curvature estimation for discrete curves based on auto-adaptive masks of convolution
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Integral based curvature estimators in digital geometry
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
Multigrid convergent curvature estimator
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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We propose in this paper a new curvature estimator based on the set of maximal digital circular arcs. For strictly convex shapes with continuous curvature fields digitized on a grid of step h, we show that this estimator is mutligrid convergent if the discrete length of the maximal digital circular arcs grows in Ω(h-1/2). We indeed observed this order of magnitude. Moreover, experiments showed that our estimator is at least as fast to compute as existing estimators and more accurate even at low resolution.