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This book represents a sample of recent contributions of researchers all around the world in the field of image restoration. The book consists of 15 chapters organized in three main sections (Theory, Applications, Interdisciplinarity). Topics cover some different aspects of the theory of image restoration, but this book is also an occasion to highlight some new topics of research related to the emergence of some original imaging devices. From this arise some real challenging problems related to image reconstruction/restoration that open the way to some new fundamental scientific questions closely related with the world we interact with.

Image reconstruction. --- Image restoration --- Reconstruction, Image --- Restoration, Image --- Image processing

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Optical data processing --- Imaging systems --- Traitement optique de l'information --- Imagerie (Technique) --- Image reconstruction --- Image reconstruction. --- Imaging systems. --- Optical data processing. --- Beeldreconstructie. --- Beeldverwerking. --- Elektronische beeldweergave. --- #TELE:MI2 --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- Radar --- Remote sensing --- Television --- Scanning systems --- Image restoration --- Reconstruction, Image --- Restoration, Image --- Image processing --- Optical equipment --- Equipment and supplies

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Blind deconvolution is a classical image processing problem which has been investigated by a large number of researchers over the last four decades. The purpose of this monograph is not to propose yet another method for blind image restoration. Rather the basic issue of deconvolvability has been explored from a theoretical view point. Some authors claim very good results while quite a few claim that blind restoration does not work. The authors clearly detail when such methods are expected to work and when they will not. In order to avoid the assumptions needed for convergence analysis in the Fourier domain, the authors use a general method of convergence analysis used for alternate minimization based on three point and four point properties of the points in the image space. The authors prove that all points in the image space satisfy the three point property and also derive the conditions under which four point property is satisfied. This provides the conditions under which alternate minimization for blind deconvolution converges with a quadratic prior. Since the convergence properties depend on the chosen priors, one should design priors that avoid trivial solutions. Hence, a sparsity based solution is also provided for blind deconvolution, by using image priors having a cost that increases with the amount of blur, which is another way to prevent trivial solutions in joint estimation. This book will be a highly useful resource to the researchers and academicians in the specific area of blind deconvolution.

Image processing --- Image reconstruction. --- Digital techniques. --- Image restoration --- Reconstruction, Image --- Restoration, Image --- Digital image processing --- Digital electronics --- Computer vision. --- Image Processing and Computer Vision. --- Signal, Image and Speech Processing. --- Machine vision --- Vision, Computer --- Artificial intelligence --- Pattern recognition systems --- Optical data processing. --- Signal processing. --- Image processing. --- Speech processing systems. --- Computational linguistics --- Electronic systems --- Information theory --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- Optical equipment

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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.

Mathematics --- Physical Sciences & Mathematics --- Calculus --- Mathematics. --- Image processing. --- Partial differential equations. --- Computer mathematics. --- Partial Differential Equations. --- Computational Mathematics and Numerical Analysis. --- Image Processing and Computer Vision. --- Differential equations, Partial --- Image analysis --- Image reconstruction --- Inverse problems (Differential equations) --- Image restoration --- Reconstruction, Image --- Restoration, Image --- Image processing --- Differential equations, partial. --- Computer science --- Computer vision. --- Machine vision --- Vision, Computer --- Artificial intelligence --- Pattern recognition systems --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Partial differential equations --- Optical data processing. --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment

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Computer. Automation --- Biological microscopy --- Image Enhancement --- Image Processing, Computer-Assisted. --- Video Recording --- Microscopy --- Confocal microscopy --- Imaging systems --- -Microscopy --- Analysis, Microscopic --- Light microscopy --- Micrographic analysis --- Microscope and microscopy --- Microscopic analysis --- Optical microscopy --- Optics --- Radar --- Remote sensing --- Television --- Scanning systems --- methods. --- Image quality --- Equipment and supplies --- Confocal microscopy. --- Microscopy. --- Image Enhancement. --- Microscopy, Electron. --- Basic Sciences. Biology --- Image quality. --- Biological Techniques --- Biological Techniques. --- Image Processing, Computer-Assisted --- Analysis, Computer-Assisted Image --- Computer-Assisted Image Analysis --- Computer-Assisted Image Processing --- Image Analysis, Computer-Assisted --- Image Reconstruction --- Computer Assisted Image Analysis --- Computer Assisted Image Processing --- Computer-Assisted Image Analyses --- Image Analyses, Computer-Assisted --- Image Analysis, Computer Assisted --- Image Processing, Computer Assisted --- Image Reconstructions --- Reconstruction, Image --- Reconstructions, Image --- Diagnostic Imaging --- Data Compression --- Multimodal Imaging --- Image quality in imaging systems --- methods --- Biomedical Image Processing --- Digital Image Processing --- Medical Image Processing --- Image Processing, Biomedical --- Image Processing, Digital --- Image Processing, Medical --- Image Processings, Medical --- Medical Image Processings --- Processing, Biomedical Image --- Processing, Digital Image --- Processing, Medical Image --- Processings, Digital Image --- Processings, Medical Image