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Recent years have seen dramatic progress in shape recognition algorithms applied to ever-growing image databases. They have been applied to image stitching, stereo vision, image mosaics, solid object recognition and video or web image retrieval. More fundamentally, the ability of humans and animals to detect and recognize shapes is one of the enigmas of perception. The book describes a complete method that starts from a query image and an image database and yields a list of the images in the database containing shapes present in the query image. A false alarm number is associated to each detection. Many experiments will show that familiar simple shapes or images can reliably be identified with false alarm numbers ranging from 10-5 to less than 10-300. Technically speaking, there are two main issues. The first is extracting invariant shape descriptors from digital images. The second is deciding whether two shape descriptors are identifiable as the same shape or not. A perceptual principle, the Helmholtz principle, is the cornerstone of this decision. These decisions rely on elementary stochastic geometry and compute a false alarm number. The lower this number, the more secure the identification. The description of the processes, the many experiments on digital images and the simple proofs of mathematical correctness are interlaced so as to make a reading accessible to various audiences, such as students, engineers, and researchers.

Image processing. --- Pattern recognition systems. --- Shapes. --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Pattern classification systems --- Pattern recognition computers --- Pattern perception --- Computer vision --- Forms (Shapes) --- Shape --- Geometry --- Surfaces --- Geometry. --- Visualization. --- Computer vision. --- Artificial intelligence. --- Mathematics. --- Image Processing and Computer Vision. --- Artificial Intelligence. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Game Theory, Economics, Social and Behav. Sciences. --- Math --- Science --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Machine vision --- Vision, Computer --- Artificial intelligence --- Image processing --- Pattern recognition systems --- Visualisation --- Imagination --- Visual perception --- Imagery (Psychology) --- Mathematics --- Euclid's Elements --- Optical data processing. --- Game theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Optical computing --- Visual data processing --- Integrated optics --- Photonics --- Computers --- Optical equipment

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Operational research. Game theory --- Computer architecture. Operating systems --- Information systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- beeldverwerking --- ICT (informatie- en communicatietechnieken) --- visualisatie --- grafische vormgeving --- informatiesystemen --- speltheorie --- robots