A note on the gradient of a multi-image
Computer Vision, Graphics, and Image Processing - Lectures notes in computer science, Vol. 201 (G. Goos and J. Hartmanis, Eds.)
Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
An Efficient Uniform Cost Algorithm Applied to Distance Transforms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Adaptive Smoothing: A General Tool for Early Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinear Image Filtering with Edge and Corner Enhancement
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized geodesy via geodesic time
Pattern Recognition Letters
Global Minimum for Active Contour Models: A Minimal Path Approach
International Journal of Computer Vision
Digital Image Processing: Concepts, Algorithms, and Scientific Applications
Digital Image Processing: Concepts, Algorithms, and Scientific Applications
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
2D and 3D visibility in discrete geometry: an application to discrete geodesic paths
Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
Illustrated Dictionary of Computer Vision
Illustrated Dictionary of Computer Vision
General Adaptive Neighborhood Image Processing
Journal of Mathematical Imaging and Vision
Neighborhood filters and PDE’s
Numerische Mathematik
Distance and nearest neighbor transforms on gray-level surfaces
Pattern Recognition Letters
Constrained Connectivity for Hierarchical Image Decomposition and Simplification
IEEE Transactions on Pattern Analysis and Machine Intelligence
Advances in constrained connectivity
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
General adaptive neighborhood image restoration, enhancement and segmentation
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I
Pixel queue algorithm for geodesic distance transforms
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Constrained Connectivity and Transition Regions
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Advances in constrained connectivity
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Overview of adaptive morphology: trends and perspectives
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
General adaptive neighborhood mathematical morphology
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
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In this paper, we introduce a novel image-dependent filtering approach derived from concepts known in mathematical morphology. Like other adaptive methods, it assumes that the local neighbourhood of a pixel contains the essential process required for the estimation of local properties. Indeed, it performs a local weighted averaging by combining both spatial and tonal information in a single similarity measure based on the local calculation of discrete geodesic time functions. Therefore, the proposed approach does not require the definition of any initial spatial window but determines adaptively, directly from the input data, the neighbouring sample points and the associated weights. The resulting adaptive filters are consistent with the content of the image and, therefore, they are particularly designed for the purpose of denoising and smoothing of digital images.