Researcher in geometric computing for cognitive systems Full Professor at the Computer Science Department of the Center of Research and Advanced Studies CINVESTAV, Guadalajara, Mexico Author and editor of books on geometric computing for computer science and engineering, reviewer, chair and active organiser of workshops and conferences on geometric computing for fields related to the design and building of perception action systems. Areas of research interest: pattern recognition, computer vision, neurocomputing, robotics, multidimensional image analysis, applications of Lie algebras and Clifford geometric algebra to cognitive systems.

• 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.

From the reviews: "The Editor ... has brought together some of the current up-to-date applications of geometric computing with the aim of assisting those who are constructing such systems. This includes not only researchers but also postgraduate students and assistants who are involved in developing and studying such systems. ... a comprehensive list of the applications that would benefit from the contributions in this text which have been prepared by some of the leaders in fields that range from neuroscience and neural networks to medical imagery and robotics." (W. R. Howard, Kybenetes, Vol. 35 (5), 2006)