This discrepancy between its analytical properties and those of its numerical implementations spurred a significant amount of research in the past twenty years or so. An overview of the latter is the topic of this article.
Ambrosio, Y. Giga, P.
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Rybka and Y. Tonegawa, eds. Tokyo: Mathematical Society of Japan, , Zentralblatt MATH identifier In order to smooth an image and to simultaneously enhance important features such as edges, they apply a diffusion process whose diffusivity is steered by derivatives of the evolving image. These filters are difficult to analyse mathematically, as they may act locally like a backward diffusion process.
This gives rise to well-posedness questions. On the other hand, nonlinear diffusion filters are frequently applied with very impressive results; so there appears the need for a theoretical foundation. Joachim Weickert Homepage No information is available for this author.
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Follow Book Categories. Cancel Delete. It is a huge topic and many problems have already been solved in many different ways. I have collected many star images over the time.
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To me it is very interesting to try different algorithms with my own data. My overall goal is to develop a small set of Linux tools which will help me to do my astronomical observations.
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Part of the results and code snippets will go into this project. My first topic - and quite often the first step - is the reduction of image noise.
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