Burger, M., Mennucci, A.C.G., Osher, S., Rumpf, M.
2013, VII, 319 p. 88 illus., 40 illus. in color.
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Examines a very timely subject at the core of mathematical imaging, a field growing at enormous speed
State of the art methods in image analysis, image reconstruction and shape analysis, combining analysis, computation, and applications will attract researchers from a broad range of fields (mathematics, computer sciences, engineering,...)
There is no comparable volume on the subjects covered
This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images. The aspects covered include edge-sharpening image reconstruction and denoising, segmentation and shape analysis in images, and image matching. For each, the lecture notes provide insights into the basic analysis of modern variational and PDE-based techniques, as well as computational aspects and applications.