General Adaptive Neighborhood Choquet Image Filtering

Authors:
Johan Debayle;Jean-Charles Pinoli
Affiliations:
Centre CIS-LPMG, UMR CNRS 5148, Ecole Nationale Supérieure des Mines de Saint-Etienne, Saint-Etienne cedex 2, France 42023;Centre CIS-LPMG, UMR CNRS 5148, Ecole Nationale Supérieure des Mines de Saint-Etienne, Saint-Etienne cedex 2, France 42023
Venue:
Journal of Mathematical Imaging and Vision
Year:
2009

Citing 21
Cited 3

An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure

Fuzzy Sets and Systems
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation

IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space and Edge Detection Using Anisotropic Diffusion

IEEE Transactions on Pattern Analysis and Machine Intelligence
Two-dimensional signal and image processing

Two-dimensional signal and image processing
Digital image processing (2nd ed.)

Digital image processing (2nd ed.)
Nonlinear total variation based noise removal algorithms

Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
A general comparative study of the multiplicative homomorphic log-ratio and logarithmic image processing approaches

Signal Processing
The Logarithmic Image Processing Model: Connections with Human Brightness Perception and Contrast Estimators

Journal of Mathematical Imaging and Vision
Differentiation-Based Edge DetectionUsing the Logarithmic Image Processing Model

Journal of Mathematical Imaging and Vision
The weighted median filter

Communications of the ACM
Digital Image Processing

Digital Image Processing
Bilateral Filtering for Gray and Color Images

ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
A Non-Local Algorithm for Image Denoising

CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Vision: A Computational Investigation into the Human Representation and Processing of Visual Information

Vision: A Computational Investigation into the Human Representation and Processing of Visual Information
General Adaptive Neighborhood Image Processing

Journal of Mathematical Imaging and Vision
General Adaptive Neighborhood Image Processing

Journal of Mathematical Imaging and Vision
Variational Image Restoration and Decomposition with Curvelet Shrinkage

Journal of Mathematical Imaging and Vision
An entropy interpretation of the logarithmic image processing model with application to contrast enhancement

IEEE Transactions on Image Processing
A Statistical Evaluation of Recent Full Reference Image Quality Assessment Algorithms

IEEE Transactions on Image Processing
General Logarithmic Image Processing Convolution

IEEE Transactions on Image Processing
The study of logarithmic image processing model and its application to image enhancement

IEEE Transactions on Image Processing

General Adaptive Neighborhood-Based Pretopological Image Filtering

Journal of Mathematical Imaging and Vision
Adaptive generalized metrics, distance maps and nearest neighbor transforms on gray tone images

Pattern Recognition
Adaptive Shape Diagrams for Multiscale Morphometrical Image Analysis

Journal of Mathematical Imaging and Vision

Quantified Score

Hi-index	0.00

Visualization

Abstract

A novel framework entitled General Adaptive Neighborhood Image Processing (GANIP) has been recently introduced in order to propose an original image representation and mathematical structure for adaptive image processing and analysis. The central idea is based on the key notion of adaptivity which is simultaneously associated with the analyzing scales, the spatial structures and the intensity values of the image to be addressed. In this paper, the GANIP framework is briefly exposed and particularly studied in the context of Choquet filtering (using fuzzy measures), which generalizes a large class of image filters. The resulting spatially-adaptive operators are studied with respect to the general GANIP framework and illustrated in both the biomedical and materials application areas. In addition, the proposed GAN-based filters are practically applied and compared to several other denoising methods through experiments on image restoration, showing a high performance of the GAN-based Choquet filters.