ECMI Anisotropic Diffusion in Image Processing (European Consortium for Mathematics in Industry)

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Many recent techniques for digital image enhancement und multiscale image representations are based on nonlinear partial differential equations. This book gives an introduction to the main ideas behind these methods, and it describes in a systematic way their theoretical foundations, numerical aspects, and applications. A large number of references enables the reader to acquire an up-to-date overview of the original literature. The central emphasis is on anisotropic nonlinear diffusion filters. Their flexibility allows to combine smoothing properties with image enhancement qualities. A general framework is explored covering well-posedness and scale-space results not only for the continuous, but also for the algorithmically important semidiscrete and fully discrete settings. The presented examples range from applications in medical image analysis to problems in computer aided quality control. Note:More information on http://www.indmath.uni-linz.ac.at/www/ind/ecmi.html> ECMI