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Título : From Gestalt Theory to Image Analysis : A Probabilistic Approach Tipo de documento: documento electrónico Autores: Desolneux, Agnés ; SpringerLink (Online service) ; Moisan, Lionel ; Morel, Jean-Michel Editorial: New York, NY : Springer New York Fecha de publicación: 2008 Colección: Interdisciplinary Applied Mathematics, ISSN 0939-6047 num. 34 Número de páginas: XII, 276 p. 130 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-74378-3 Idioma : Inglés (eng) Palabras clave: Computer science Image processing Partial differential equations Applied mathematics Engineering Algorithms Mathematics Visualization Science Processing and Vision Differential Equations Signal, Speech Applications of Clasificación: 51 Matemáticas Resumen: This book introduces the reader to a recent theory in Computer Vision yielding elementary techniques to analyse digital images. These techniques are inspired from and are a mathematical formalization of the Gestalt theory. Gestalt theory, which had never been formalized is a rigorous realm of vision psychology developped between 1923 and 1975. From the mathematical viewpoint the closest field to it is stochastic geometry, involving basic probability and statistics, in the context of image analysis. The book is intended for a multidisciplinary audience of researchers and engineers. It is self contained in three aspects: mathematics, vision and algorithms, and requires only a background of elementary calculus and probability. A large number of illustrations, exercises and examples are included. The authors maintain a public software, MegaWave, containing implementations of most of the image analysis techniques developed in the book Nota de contenido: Gestalt Theory -- The Helmholtz Principle -- Estimating the Binomial Tail -- Alignments in Digital Images -- Maximal Meaningfulness and the Exclusion Principle -- Modes of a Histogram -- Vanishing Points -- Contrasted Boundaries -- Variational or Meaningful Boundaries? -- Clusters -- Binocular Grouping -- A Psychophysical Study of the Helmholtz Principle -- Back to the Gestalt Programme -- Other Theories, Discussion En línea: http://dx.doi.org/10.1007/978-0-387-74378-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34191 From Gestalt Theory to Image Analysis : A Probabilistic Approach [documento electrónico] / Desolneux, Agnés ; SpringerLink (Online service) ; Moisan, Lionel ; Morel, Jean-Michel . - New York, NY : Springer New York, 2008 . - XII, 276 p. 130 illus : online resource. - (Interdisciplinary Applied Mathematics, ISSN 0939-6047; 34) .
ISBN : 978-0-387-74378-3
Idioma : Inglés (eng)
Palabras clave: Computer science Image processing Partial differential equations Applied mathematics Engineering Algorithms Mathematics Visualization Science Processing and Vision Differential Equations Signal, Speech Applications of Clasificación: 51 Matemáticas Resumen: This book introduces the reader to a recent theory in Computer Vision yielding elementary techniques to analyse digital images. These techniques are inspired from and are a mathematical formalization of the Gestalt theory. Gestalt theory, which had never been formalized is a rigorous realm of vision psychology developped between 1923 and 1975. From the mathematical viewpoint the closest field to it is stochastic geometry, involving basic probability and statistics, in the context of image analysis. The book is intended for a multidisciplinary audience of researchers and engineers. It is self contained in three aspects: mathematics, vision and algorithms, and requires only a background of elementary calculus and probability. A large number of illustrations, exercises and examples are included. The authors maintain a public software, MegaWave, containing implementations of most of the image analysis techniques developed in the book Nota de contenido: Gestalt Theory -- The Helmholtz Principle -- Estimating the Binomial Tail -- Alignments in Digital Images -- Maximal Meaningfulness and the Exclusion Principle -- Modes of a Histogram -- Vanishing Points -- Contrasted Boundaries -- Variational or Meaningful Boundaries? -- Clusters -- Binocular Grouping -- A Psychophysical Study of the Helmholtz Principle -- Back to the Gestalt Programme -- Other Theories, Discussion En línea: http://dx.doi.org/10.1007/978-0-387-74378-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34191 Ejemplares
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Título : Geometric Design of Linkages Tipo de documento: documento electrónico Autores: McCarthy, J. Michael ; SpringerLink (Online service) ; Soh, Gim Song Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: Interdisciplinary Applied Mathematics, ISSN 0939-6047 num. 11 Número de páginas: XXVIII, 448 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-7892-9 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry System theory Control engineering Robotics Automation Systems Theory, and Geometry Clasificación: 51 Matemáticas Resumen: This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a workpiece, or end effector, of the system. The function of the device is prescribed as a set of positions to be reachable by the end effector; and the mechanical constraints are formed by joints that limit relative movement. The goal is to find all the devices that can achieve a specific task. Formulated in this way the design problem is purely geometric in character. Robot manipulators, walking machines, and mechanical hands are examples of articulated mechanical systems that rely on simple mechanical constraints to provide a complex workspace for the end effector. This new edition includes research results of the past decade on the synthesis of multiloop planar and spherical linkages, and the use of homotopy methods and Clifford algebras in the synthesis of spatial serial chains. One new chapter on the synthesis of spatial serial chains introduces the linear product decomposition of polynomial systems and polynomial continuation solutions. The second new chapter introduces the Clifford algebra formulation of the kinematics equations of serial chain robots. Examples are used throughout to demonstrate the theory. Review of First Edition: "...I found the author had provided an excellent text that enabled me to come to terms with the subject. Readers with an interest in the area will find the volume rewarding." -The Mathematical Gazette (2001) Nota de contenido: Introduction -- Analysis of Planar Linkages -- Graphical Synthesis in the Plane -- Planar Kinematics -- Algebraic Synthesis of Planar -- Multiloop Planar Linkages -- Analysis of Spherical Linkages -- Spherical Kinematics -- Algebraic Synthesis of Spherical Chains -- Multiloop Spherical -- Analysis of Spatial Chains -- Spatial Kinematics -- Algebraic Synthesis of Spatial -- Synthesis of Spatial Chains with Reachable Surface -- Clifford Algebra Synthesis of Spatial Chains -- Platform Manipulators -- References En línea: http://dx.doi.org/10.1007/978-1-4419-7892-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33173 Geometric Design of Linkages [documento electrónico] / McCarthy, J. Michael ; SpringerLink (Online service) ; Soh, Gim Song . - New York, NY : Springer New York, 2011 . - XXVIII, 448 p : online resource. - (Interdisciplinary Applied Mathematics, ISSN 0939-6047; 11) .
ISBN : 978-1-4419-7892-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry System theory Control engineering Robotics Automation Systems Theory, and Geometry Clasificación: 51 Matemáticas Resumen: This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a workpiece, or end effector, of the system. The function of the device is prescribed as a set of positions to be reachable by the end effector; and the mechanical constraints are formed by joints that limit relative movement. The goal is to find all the devices that can achieve a specific task. Formulated in this way the design problem is purely geometric in character. Robot manipulators, walking machines, and mechanical hands are examples of articulated mechanical systems that rely on simple mechanical constraints to provide a complex workspace for the end effector. This new edition includes research results of the past decade on the synthesis of multiloop planar and spherical linkages, and the use of homotopy methods and Clifford algebras in the synthesis of spatial serial chains. One new chapter on the synthesis of spatial serial chains introduces the linear product decomposition of polynomial systems and polynomial continuation solutions. The second new chapter introduces the Clifford algebra formulation of the kinematics equations of serial chain robots. Examples are used throughout to demonstrate the theory. Review of First Edition: "...I found the author had provided an excellent text that enabled me to come to terms with the subject. Readers with an interest in the area will find the volume rewarding." -The Mathematical Gazette (2001) Nota de contenido: Introduction -- Analysis of Planar Linkages -- Graphical Synthesis in the Plane -- Planar Kinematics -- Algebraic Synthesis of Planar -- Multiloop Planar Linkages -- Analysis of Spherical Linkages -- Spherical Kinematics -- Algebraic Synthesis of Spherical Chains -- Multiloop Spherical -- Analysis of Spatial Chains -- Spatial Kinematics -- Algebraic Synthesis of Spatial -- Synthesis of Spatial Chains with Reachable Surface -- Clifford Algebra Synthesis of Spatial Chains -- Platform Manipulators -- References En línea: http://dx.doi.org/10.1007/978-1-4419-7892-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33173 Ejemplares
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Título : Geometric Optimal Control : Theory, Methods and Examples Tipo de documento: documento electrónico Autores: Schättler, Heinz ; SpringerLink (Online service) ; Ledzewicz, Urszula Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Interdisciplinary Applied Mathematics, ISSN 0939-6047 num. 38 Número de páginas: XX, 640 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-3834-2 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations geometry Calculus of variations Applied mathematics Engineering Control engineering Variations and Optimal Control; Optimization Geometry Ordinary Equations Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard procedures and can be used to obtain a full understanding of the global structure of solutions for the underlying problem. The text includes a large number and variety of fully worked out examples that range from the classical problem of minimum surfaces of revolution to cancer treatment for novel therapy approaches. All these examples, in one way or the other, illustrate the power of geometric techniques and methods. The versatile text contains material on different levels ranging from the introductory and elementary to the advanced. Parts of the text can be viewed as a comprehensive textbook for both advanced undergraduate and all level graduate courses on optimal control in both mathematics and engineering departments. The text moves smoothly from the more introductory topics to those parts that are in a monograph style were advanced topics are presented. While the presentation is mathematically rigorous, it is carried out in a tutorial style that makes the text accessible to a wide audience of researchers and students from various fields, including the mathematical sciences and engineering. Heinz Schättler is an Associate Professor at Washington University in St. Louis in the Department of Electrical and Systems Engineering, Urszula Ledzewicz is a Distinguished Research Professor at Southern Illinois University Edwardsville in the Department of Mathematics and Statistics Nota de contenido: The Calculus of Variations: A Historical Perspective -- The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution -- Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem -- The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality -- The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum -- Synthesis of Optimal Controlled Trajectories: FromLocal to Global Solutions -- Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses -- References -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-3834-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32822 Geometric Optimal Control : Theory, Methods and Examples [documento electrónico] / Schättler, Heinz ; SpringerLink (Online service) ; Ledzewicz, Urszula . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XX, 640 p : online resource. - (Interdisciplinary Applied Mathematics, ISSN 0939-6047; 38) .
ISBN : 978-1-4614-3834-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations geometry Calculus of variations Applied mathematics Engineering Control engineering Variations and Optimal Control; Optimization Geometry Ordinary Equations Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard procedures and can be used to obtain a full understanding of the global structure of solutions for the underlying problem. The text includes a large number and variety of fully worked out examples that range from the classical problem of minimum surfaces of revolution to cancer treatment for novel therapy approaches. All these examples, in one way or the other, illustrate the power of geometric techniques and methods. The versatile text contains material on different levels ranging from the introductory and elementary to the advanced. Parts of the text can be viewed as a comprehensive textbook for both advanced undergraduate and all level graduate courses on optimal control in both mathematics and engineering departments. The text moves smoothly from the more introductory topics to those parts that are in a monograph style were advanced topics are presented. While the presentation is mathematically rigorous, it is carried out in a tutorial style that makes the text accessible to a wide audience of researchers and students from various fields, including the mathematical sciences and engineering. Heinz Schättler is an Associate Professor at Washington University in St. Louis in the Department of Electrical and Systems Engineering, Urszula Ledzewicz is a Distinguished Research Professor at Southern Illinois University Edwardsville in the Department of Mathematics and Statistics Nota de contenido: The Calculus of Variations: A Historical Perspective -- The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution -- Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem -- The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality -- The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum -- Synthesis of Optimal Controlled Trajectories: FromLocal to Global Solutions -- Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses -- References -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-3834-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32822 Ejemplares
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Título : Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics Tipo de documento: documento electrónico Autores: Pettini, Marco ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Colección: Interdisciplinary Applied Mathematics, ISSN 0939-6047 num. 33 Número de páginas: XVI, 456 p. 91 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-49957-4 Idioma : Inglés (eng) Palabras clave: Mathematics Dynamics Ergodic theory Applied mathematics Engineering Physics Quantum physics Statistical Dynamical systems Systems and Theory Mathematical Methods in Applications of Physics, Complexity Clasificación: 51 Matemáticas Resumen: This book explores the foundations of hamiltonian dynamical systems and statistical mechanics, in particular phase transition, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide a welcome overview of the current research in the area, in which the author himself is a pioneer. Using geometrical thinking to solve fundamental problems in these areas, compared to the purely analytical methods usually used in physics could be highly productive. The author skillfully guides the reader, whether mathematician or physicists through the background needed to understand and use these techniques. Dr. Marco Pettini is affiliated with the Istituto Nazionale di Astrofisica â€" Osservatorio Astrofisico di Arretri in Firenze, Italy. From the foreword: "It is in particular the quality of mind of the author and his deep physical, as well as mathematical insights, which make this book so special and inspiring. It is a "must" for those who want to venture into a new approach to old problems or want to use new tools for new problems." -- Professor E. G. D. Cohen, Rockefellar University, New York Nota de contenido: Background in Physics -- Geometrization of Hamiltonian Dynamics -- Integrability -- Geometry and Chaos -- Geometry of Chaos and Phase Transitions -- Topological Hypothesis on the Origin -- Geometry, Topology and Thermodynamics -- Phase Transitions and Topology: Necessity Theorems -- Phase Transitions and Topology: Exact Results -- Future Developments En línea: http://dx.doi.org/10.1007/978-0-387-49957-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34502 Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics [documento electrónico] / Pettini, Marco ; SpringerLink (Online service) . - New York, NY : Springer New York, 2007 . - XVI, 456 p. 91 illus : online resource. - (Interdisciplinary Applied Mathematics, ISSN 0939-6047; 33) .
ISBN : 978-0-387-49957-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Dynamics Ergodic theory Applied mathematics Engineering Physics Quantum physics Statistical Dynamical systems Systems and Theory Mathematical Methods in Applications of Physics, Complexity Clasificación: 51 Matemáticas Resumen: This book explores the foundations of hamiltonian dynamical systems and statistical mechanics, in particular phase transition, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide a welcome overview of the current research in the area, in which the author himself is a pioneer. Using geometrical thinking to solve fundamental problems in these areas, compared to the purely analytical methods usually used in physics could be highly productive. The author skillfully guides the reader, whether mathematician or physicists through the background needed to understand and use these techniques. Dr. Marco Pettini is affiliated with the Istituto Nazionale di Astrofisica â€" Osservatorio Astrofisico di Arretri in Firenze, Italy. From the foreword: "It is in particular the quality of mind of the author and his deep physical, as well as mathematical insights, which make this book so special and inspiring. It is a "must" for those who want to venture into a new approach to old problems or want to use new tools for new problems." -- Professor E. G. D. Cohen, Rockefellar University, New York Nota de contenido: Background in Physics -- Geometrization of Hamiltonian Dynamics -- Integrability -- Geometry and Chaos -- Geometry of Chaos and Phase Transitions -- Topological Hypothesis on the Origin -- Geometry, Topology and Thermodynamics -- Phase Transitions and Topology: Necessity Theorems -- Phase Transitions and Topology: Exact Results -- Future Developments En línea: http://dx.doi.org/10.1007/978-0-387-49957-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34502 Ejemplares
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Título : Killer Cell Dynamics : Mathematical and Computational Approaches to Immunology Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Wodarz, Dominik Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Colección: Interdisciplinary Applied Mathematics, ISSN 0939-6047 num. 32 Número de páginas: XIII, 220 p Il.: online resource ISBN/ISSN/DL: 978-0-387-68733-9 Idioma : Inglés (eng) Palabras clave: Mathematics Immunology Cell biology Ecology Evolutionary Biomathematics Mathematical and Computational Biology Theoretical Ecology/Statistics Clasificación: 51 Matemáticas Resumen: This book reviews how mathematics can be used in combination with biological data in order to improve understanding of how the immune system works. This is illustrated largely in the context of viral infections. Mathematical models allow scientists to capture complex biological interactions in a clear mathematical language and to follow them to their precise logical conclusions. This can give rise to counter-intuitive insights which would not be attained by experiments alone, and can be used for the design of further experiments in order to address the mathematical results. This book provides both an introduction to the field of mathematical immunology, and an overview of many topics which are the subject of current research, covering a broad variety of immunological topics. It starts with basic principles of immunology and covers the dynamical interactions between the immune system and specific viral infections, including important human pathogens such as HIV. General biological and mathematical background material to both virus infection and immune system dynamics is provided, and each chapter begins with a simple introduction to the biological questions examined. This book is intended for an interdisciplinary audience. It explains the concept of mathematical modeling in immunology and shows how modeling has been used to address specific questions. It is intended both for the mathematical biologists who are interested in immunology, and for the biological readership that is interested in the use of mathematical models in immunology. Dominik Wodarz is an Associate Professor at the Department of Ecology and Evolutionary Biology at the University of California, Irvine Nota de contenido: Viruses and Immune Responses: A Dynamical View -- Models of CTL Responses and Correlates of Virus Control -- CTL Memory -- CD4 T Cell Help -- Immunodominance -- Multiple Infections and CTL Dynamics -- Control versus CTL-Induced Pathology -- Lytic versus Nonlytic Activity -- Dynamical Interactions between CTL and Antibody Responses -- Effector Molecules and CTL Homeostasis -- Virus-Induced Subversion of CTL Responses -- Boosting Immunity against Immunosuppressive Infections -- Evolutionary Aspects of Immunity En línea: http://dx.doi.org/10.1007/978-0-387-68733-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34509 Killer Cell Dynamics : Mathematical and Computational Approaches to Immunology [documento electrónico] / SpringerLink (Online service) ; Wodarz, Dominik . - New York, NY : Springer New York, 2007 . - XIII, 220 p : online resource. - (Interdisciplinary Applied Mathematics, ISSN 0939-6047; 32) .
ISBN : 978-0-387-68733-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Immunology Cell biology Ecology Evolutionary Biomathematics Mathematical and Computational Biology Theoretical Ecology/Statistics Clasificación: 51 Matemáticas Resumen: This book reviews how mathematics can be used in combination with biological data in order to improve understanding of how the immune system works. This is illustrated largely in the context of viral infections. Mathematical models allow scientists to capture complex biological interactions in a clear mathematical language and to follow them to their precise logical conclusions. This can give rise to counter-intuitive insights which would not be attained by experiments alone, and can be used for the design of further experiments in order to address the mathematical results. This book provides both an introduction to the field of mathematical immunology, and an overview of many topics which are the subject of current research, covering a broad variety of immunological topics. It starts with basic principles of immunology and covers the dynamical interactions between the immune system and specific viral infections, including important human pathogens such as HIV. General biological and mathematical background material to both virus infection and immune system dynamics is provided, and each chapter begins with a simple introduction to the biological questions examined. This book is intended for an interdisciplinary audience. It explains the concept of mathematical modeling in immunology and shows how modeling has been used to address specific questions. It is intended both for the mathematical biologists who are interested in immunology, and for the biological readership that is interested in the use of mathematical models in immunology. Dominik Wodarz is an Associate Professor at the Department of Ecology and Evolutionary Biology at the University of California, Irvine Nota de contenido: Viruses and Immune Responses: A Dynamical View -- Models of CTL Responses and Correlates of Virus Control -- CTL Memory -- CD4 T Cell Help -- Immunodominance -- Multiple Infections and CTL Dynamics -- Control versus CTL-Induced Pathology -- Lytic versus Nonlytic Activity -- Dynamical Interactions between CTL and Antibody Responses -- Effector Molecules and CTL Homeostasis -- Virus-Induced Subversion of CTL Responses -- Boosting Immunity against Immunosuppressive Infections -- Evolutionary Aspects of Immunity En línea: http://dx.doi.org/10.1007/978-0-387-68733-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34509 Ejemplares
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