Handbook of Geometric Computing

Neuroscience.- Spatiotemporal Dynamics of Visual Perception Across Neural Maps and Pathways.- Symmetry, Features, and Information.- Neural Networks.- Geometric Approach to Multilayer Perceptrons.- A Lattice Algebraic Approach to Neural Computation.- Eigenproblems in Pattern Recognition.- Image Processing.- Geometric Framework for Image Processing.- Geometric Filters, Diffusion Flows, and Kernels in Image Processing.- Chaos-Based Image Encryption.- Computer Vision.- One-Dimensional Retinae Vision.- Three-Dimensional Geometric Computer Vision.- Dynamic % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D % aebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY-Hhbbf9v8qqaq % Fr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qq % Q8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaatu % uDJXwAK1uy0HwmaeHbfv3ySLgzG0uy0Hgip5wzaGqbaiab-9q8qnaa % CaaaleqabaWexLMBb50ujbqehq0BYngALnhDLjhitnMCPbhDG0evaG % GbaKqzafGae4NBa4gaaaaa!4FF9! $$ mathcal{P}^n $$ to % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D % aebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY-Hhbbf9v8qqaq % Fr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qq % Q8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaatu % uDJXwAK1uy0HwmaeHbfv3ySLgzG0uy0Hgip5wzaGqbaiab-9q8qnaa % CaaaleqabaWexLMBb50ujbqehq0BYngALnhDLjhitnMCPbhDG0evaG % GbaKqzafGae4NBa4gaaaaa!4FF9! $$ mathcal{P}^n $$ Alignment.- Detecting Independent 3D Movement.- Perception and Action.- Robot Perception and Action Using Conformal Geometric Algebra.- Uncertainty in Geometric Computations.- Uncertainty Modeling and Geometric Inference.- Uncertainty and Projective Geometry.- The Tensor Voting Framework.- Computer Graphics and Visualization.- Methods for Nonrigid Image Registration.- The Design of Implicit Functions for Computer Graphics.- Geometry and Robotics.- Grassmann-Cayley Algebra and Robotics Applications.- Clifford Algebra and Robot Dynamics.- Geometric Methods for Multirobot Optimal Motion Planning.- Reaching and Motion Planning.- The Computation of Reachable Surfaces for a Specified Set of Spatial Displacements.- Planning Collision-Free Paths Using Probabilistic Roadmaps.