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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Image processing through reaction combined with nonlinear diffusion


Authors: G.-H. Cottet and L. Germain
Journal: Math. Comp. 61 (1993), 659-673
MSC: Primary 65P05; Secondary 35K57, 68U10
MathSciNet review: 1195422
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Abstract | References | Similar Articles | Additional Information

Abstract: We propose a method based on nonlinear diffusion and reaction for edge detection and contrast enhancement in image processing. We prove that the mathematical model is well posed and show numerically that the processed image can be observed on the asymptotic state of its solution. We illustrate the methods on test images and show on medical images how it can help to draw contours and detect one-dimensional coherent signals.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1993-1195422-2
PII: S 0025-5718(1993)1195422-2
Article copyright: © Copyright 1993 American Mathematical Society