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
Scale-Space and Edge Detection Using Anisotropic Diffusion
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
Detail-preserving median based filters in image processing
Pattern Recognition Letters
Generalized geodesy via geodesic time
Pattern Recognition Letters
Global Minimum for Active Contour Models: A Minimal Path Approach
International Journal of Computer Vision
Color image processing and applications
Color image processing and applications
Digital Image Processing: Concepts, Algorithms, and Scientific Applications
Digital Image Processing: Concepts, Algorithms, and Scientific Applications
Fast bilateral filtering for the display of high-dynamic-range images
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 3 - Volume 3
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)
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
Image filtering using morphological amoebas
Image and Vision Computing
Priority pixel queue algorithm for geodesic distance transforms
Image and Vision Computing
Beyond self-duality in morphological image analysis
Image and Vision Computing
Advances in constrained connectivity
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Anisotropic diffusion of multivalued images with applications to color filtering
IEEE Transactions on Image Processing
A multivalued image wavelet representation based on multiscale fundamental forms
IEEE Transactions on Image Processing
A Short- Time Beltrami Kernel for Smoothing Images and Manifolds
IEEE Transactions on Image Processing
Constrained Connectivity and Transition Regions
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Morphological bilateral filtering and spatially-variant adaptive structuring functions
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Adaptive structuring elements based on salience information
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
Conditional Toggle Mappings: Principles and Applications
Journal of Mathematical Imaging and Vision
Adaptive Shape Diagrams for Multiscale Morphometrical Image Analysis
Journal of Mathematical Imaging and Vision
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This paper introduces a novel image-dependent filtering approach derived from concepts known in mathematical morphology and aiming at edge-preserving smoothing of natural images. Like other adaptive methods, it assumes that the neighbourhood of a pixel contains the essential information required for the estimation of local features in the image. The proposed strategy essentially consists in a weighted averaging combining both spatial and tonal information. For that purpose, a twofold similarity measure is calculated from local geodesic time functions. This way, no prior operator definition is required since a weighting neighbourhood and a weighting kernel are determined automatically from the unfiltered input data for each pixel location. By designing relevant geodesic masks, two adaptive filtering algorithms are derived that are particularly efficient at smoothing heterogeneous areas while preserving relevant structures in greyscale and multichannel images.