Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image selective smoothing and edge detection by nonlinear diffusion. II
SIAM Journal on Numerical Analysis
Discrete Curvature Based on Osculating Circle Estimation
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
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
Fast, accurate and convergent tangent estimation on digital contours
Image and Vision Computing
Measure of circularity for parts of digital boundaries and its fast computation
Pattern Recognition
Normals and curvature estimation for digital surfaces based on convolutions
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Binomial convolutions and derivatives estimation from noisy discretizations
DGCI'08 Proceedings of the 14th 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
Estimation of the derivatives of a digital function with a convergent bounded error
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Accurate curvature estimation along digital contours with maximal digital circular arcs
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Adaptive discrete Laplace operator
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part II
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
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We propose in this paper an estimator of derivative and curvature of discrete curves. Based on adaptive convolution that preserves contour, we use local geometrical information as the heat kernel to convolve with a discrete curve and give estimation of its geometrical parameters. We recover on regular part of the curve the classical convolution based on gaussian kernel. We study the bounded error of our approach for first and second order derivative and we discuss about the multigrid convergence.