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Theory of distributions (Functional analysis) --- Distributions, Théorie des (Analyse fonctionnelle) --- Theory of distributions (Functional analysis). --- Distributions, Théorie des (Analyse fonctionnelle) --- Mathematical distribution theory --- Probability theory --- Distributions, Théorie des (analyse fonctionnelle) --- Convolutions (mathématiques) --- Convolutions (Mathematics) --- Convolutions (mathématiques) --- Distributions, Théorie des (analyse fonctionnelle) --- Fourier, Transformations de --- Distributions, theory of (functional analysis) --- Theorie des distributions

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Mathematicians --- Mathématiciens --- Biography --- Attitudes --- Political activity --- Biographie --- Activité politique --- Schwartz, Laurent, --- Mathématiciens --- Activité politique --- Mémoires (genre littéraire) --- Autobiography. --- Schwartz, Laurent. --- Ecole polytechnique (France) --- École polytechnique (Palaiseau, Essonne) --- École polytechnique --- Schwartz, Laurent --- Mémoires (genre littéraire) --- Distributions, Théorie des (analyse fonctionnelle) --- École polytechnique --- Histoire des mathematiques --- Guerre d'algerie --- Viet-nam --- Trotskisme --- 20e siecle --- Histoire

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Biomedical image analysis has become a major aspect of engineering sciences, and radiology in particular has become a dominant player in the field. Recent developments have made it possible to use biomedical imaging to view the human body from an anatomical or physiological perspective in a non-invasive fashion. Computer-aided diagnosis consists of developing algorithms and intelligent software components that can automatically process images and spot potential irregularities in the health chain. This book explains the process of computer assisted biomedical image analysis diagnosis through mathematical modeling and inference of image-based bio-markers. It covers five crucial thematic areas: methodologies, statistical and physiological models, biomedical perception, clinical biomarkers, and emerging modalities and domains. The dominant state-of-the-art methodologies for content extraction and interpretation of medical images include fuzzy methods, level set methods, kernel methods, and geometric deformable models. The models and techniques discussed are used in the diagnosis, planning, control and follow-up of medical procedures. Throughout the book, challenges and limitations are explored along with new research directions. This complete volume is an exceptional tool for radiologists, research scientists, senior undergraduate and graduate students in health sciences and engineering, and university professors. This book offers a unique guide to the entire chain of biomedical imaging, explaining how image formation is done, and how the most appropriate algorithms are used to address demands and diagnoses.

Analytic spaces. --- Martingales (Mathematics). --- Diagnostic imaging --- Imaging systems in medicine --- Digital techniques --- Medical imaging systems --- Medical instruments and apparatus --- Clinical imaging --- Imaging, Diagnostic --- Medical diagnostic imaging --- Medical imaging --- Noninvasive medical imaging --- Diagnosis, Noninvasive --- Martingales (Mathematics) --- Analytic spaces --- Stochastic processes --- Spaces, Analytic --- Analytic functions --- Functions of several complex variables --- Computer vision. --- Radiology, Medical. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Imaging / Radiology. --- Clinical radiology --- Radiology, Medical --- Radiology (Medicine) --- Medical physics --- Machine vision --- Vision, Computer --- Artificial intelligence --- Image processing --- Pattern recognition systems --- Optical data processing. --- Radiology. --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- Radiological physics --- Physics --- Radiation --- Optical equipment --- Processus stochastiques --- Martingales

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Probabilities --- Banach spaces --- Theory of distributions (Functional analysis) --- Schwartz distributions

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