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"We develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemannian metric. In particular, we develop the thermodynamic formalism and show that, under natural hypotheses, the limit set of an Carnot conformal GDMS has Hausdorff dimension given by Bowen's parameter. We illustrate our results for a variety of examples of both linear and nonlinear iterated function systems and graph directed Markov systems in such sub-Riemannian spaces. These include the Heisenberg continued fractions introduced by Lukyanenko and Vandehey as well as Kleinian and Schottky groups associated to the non-real classical rank one hyperbolic spaces"--

Heisenberg uncertainty principle --- Heisenberg, Principe d'incertitude d' --- Hausdorff measures --- Hausdorff, Mesures de --- Nilpotent Lie groups. --- Conformal mapping. --- Markov processes. --- Hausdorff measures. --- Thermodynamics --- Mathematical models.

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This book presents the theoretical aspects and practical development of a computer vision system for searching an image for a specified model object; this system is reliable, tolerates imperfections in the image and model, and is fast enough for real-world applications. A number of search techniques are evaluated. The capabilities of the author's image search system are demonstrated on a variety of examples, and applications using it to track moving objects and navigate mobile robots are shown. This book is essential reading for anybody interested in model-based object recognition.

Computer vision --- Computervisie --- Hausdorff [Mesures de ] --- Hausdorff [Metingen van ] --- Hausdorff measures --- Mesures de Hausdorff --- Metingen van Hausdorff --- Optical pattern recognition --- Optische patroonherkenning --- Reconnaissance optique des données --- Vision par ordinateur --- Optical pattern recognition. --- Artificial intelligence. --- Computer vision. --- Pattern Recognition. --- Artificial Intelligence. --- Image Processing and Computer Vision. --- Machine vision --- Vision, Computer --- Artificial intelligence --- Image processing --- Pattern recognition systems --- 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 --- Optical data processing --- Pattern perception --- Perceptrons --- Visual discrimination