Title :
Nonlinear PDE operators with memory terms for image processing
Author :
Cottet, G.-H. ; El Ayyadi, M.
Author_Institution :
Lab. LMC, Univ. Joseph Fourier, Grenoble, France
Abstract :
A model of selective filters based on anisotropic nonlinear diffusion is proposed for image enhancement. In this model the processed image can be obtained on the asymptotic states of its solution. The diffusion tensor is chosen to change dynamically in such a way as to process the image without affecting its interesting features. The proposed anisotropic diffusion can be classed as a nonstandard Volterra equation. Experimental results are shown on test and medical images, which illustrate the ability of our model to detect fine objects in a noisy image
Keywords :
Volterra equations; filtering theory; image enhancement; medical image processing; nonlinear differential equations; object detection; partial differential equations; anisotropic nonlinear diffusion; asymptotic states; diffusion tensor; experimental results; fine object detection; image enhancement; image processing; medical images; memory terms; noisy image; nonlinear PDE operators; nonstandard Volterra equation; selective filters model; test images; Anisotropic magnetoresistance; Cellular neural networks; Electronic mail; Equations; Image enhancement; Image processing; Mathematical model; Medical tests; Nonlinear filters; Tensile stress;
Conference_Titel :
Image Processing, 1996. Proceedings., International Conference on
Conference_Location :
Lausanne
Print_ISBN :
0-7803-3259-8
DOI :
10.1109/ICIP.1996.559538
