Scale-Space for Discrete Signals
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast, accurate and convergent tangent estimation on digital contours
Image and Vision Computing
On the convergence of derivatives of Bernstein approximation
Journal of Approximation Theory
Convex shapes and convergence speed of discrete tangent estimators
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Analysis and comparative evaluation of discrete tangent estimators
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Hierarchical Matching Using Combinatorial Pyramid Framework
ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing
Comparison of Discrete Curvature Estimators and Application to Corner Detection
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Technical Section: Normals estimation for digital surfaces based on convolutions
Computers and Graphics
Comparison and improvement of tangent estimators on digital curves
Pattern Recognition
Multi-scale Analysis of Discrete Contours for Unsupervised Noise Detection
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Top-Down Segmentation of Histological Images Using a Digital Deformable Model
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
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
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
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
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
Convergence of binomial-based derivative estimation for C2 noisy discretized curves
Theoretical Computer Science
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
Convergence of level-wise convolution differential estimators
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 present a new method to estimate derivatives of digitized functions. Even with noisy data, this approach is convergent and can be computed by using only the arithmetic operations. Moreover, higher order derivatives can also be estimated. To deal with parametrized curves, we introduce a new notion which solves the problem of correspondence between the parametrization of a continuous curve and the pixels numbering of a discrete object.