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Título : Computer Vision Using Local Binary Patterns Tipo de documento: documento electrónico Autores: Matti Pietikäinen ; SpringerLink (Online service) ; Abdenour Hadid ; Guoying Zhao ; Timo Ahonen Editorial: London : Springer London Fecha de publicación: 2011 Otro editor: Imprint: Springer Colección: Computational Imaging and Vision, ISSN 1381-6446 num. 40 Número de páginas: XVI, 212 p Il.: online resource ISBN/ISSN/DL: 978-0-85729-748-8 Idioma : Inglés (eng) Palabras clave: Mathematics Computer graphics Image processing Pattern recognition Biometrics (Biology) Mathematics, general Imaging, Vision, Recognition and Graphics Processing Vision Signal, Speech Clasificación: 51 Matemáticas Resumen: The recent emergence of Local Binary Patterns (LBP) has led to significant progress in applying texture methods to various computer vision problems and applications. The focus of this research has broadened from 2D textures to 3D textures and spatiotemporal (dynamic) textures. Also, where texture was once utilized for applications such as remote sensing, industrial inspection and biomedical image analysis, the introduction of LBP-based approaches have provided outstanding results in problems relating to face and activity analysis, with future scope for face and facial expression recognition, biometrics, visual surveillance and video analysis. Computer Vision Using Local Binary Patterns provides a detailed description of the LBP methods and their variants both in spatial and spatiotemporal domains. This comprehensive reference also provides an excellent overview as to how texture methods can be utilized for solving different kinds of computer vision and image analysis problems. Source codes of the basic LBP algorithms, demonstrations, some databases and a comprehensive LBP bibliography can be found from an accompanying web site. Topics include: - Local binary patterns and their variants in spatial and spatiotemporal domains - Texture classification and segmentation, description of interest regions - Applications in image retrieval and 3D recognition - Recognition and segmentation of dynamic textures - Background subtraction, recognition of actions - Face analysis using still images and image sequences, visual speech recognition - LBP in various applications Written by pioneers of LBP, this book is an essential resource for researchers, professional engineers and graduate students in computer vision, image analysis and pattern recognition. The book will also be of interest to all those who work with specific applications of machine vision Nota de contenido: Background -- Local binary patterns for still images -- Spatiotemporal LBP -- Texture classification and segmentation -- Description of interest regions -- Applications in image retrieval and 3D recognition -- Recognition and segmentation of dynamic textures -- Background subtraction -- Recognition of actions -- Face analysis using still images -- Face analysis using image sequences -- Visual recognition of spoken phrases -- LBP in different applications En línea: http://dx.doi.org/10.1007/978-0-85729-748-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33135 Computer Vision Using Local Binary Patterns [documento electrónico] / Matti Pietikäinen ; SpringerLink (Online service) ; Abdenour Hadid ; Guoying Zhao ; Timo Ahonen . - London : Springer London : Imprint: Springer, 2011 . - XVI, 212 p : online resource. - (Computational Imaging and Vision, ISSN 1381-6446; 40) .
ISBN : 978-0-85729-748-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer graphics Image processing Pattern recognition Biometrics (Biology) Mathematics, general Imaging, Vision, Recognition and Graphics Processing Vision Signal, Speech Clasificación: 51 Matemáticas Resumen: The recent emergence of Local Binary Patterns (LBP) has led to significant progress in applying texture methods to various computer vision problems and applications. The focus of this research has broadened from 2D textures to 3D textures and spatiotemporal (dynamic) textures. Also, where texture was once utilized for applications such as remote sensing, industrial inspection and biomedical image analysis, the introduction of LBP-based approaches have provided outstanding results in problems relating to face and activity analysis, with future scope for face and facial expression recognition, biometrics, visual surveillance and video analysis. Computer Vision Using Local Binary Patterns provides a detailed description of the LBP methods and their variants both in spatial and spatiotemporal domains. This comprehensive reference also provides an excellent overview as to how texture methods can be utilized for solving different kinds of computer vision and image analysis problems. Source codes of the basic LBP algorithms, demonstrations, some databases and a comprehensive LBP bibliography can be found from an accompanying web site. Topics include: - Local binary patterns and their variants in spatial and spatiotemporal domains - Texture classification and segmentation, description of interest regions - Applications in image retrieval and 3D recognition - Recognition and segmentation of dynamic textures - Background subtraction, recognition of actions - Face analysis using still images and image sequences, visual speech recognition - LBP in various applications Written by pioneers of LBP, this book is an essential resource for researchers, professional engineers and graduate students in computer vision, image analysis and pattern recognition. The book will also be of interest to all those who work with specific applications of machine vision Nota de contenido: Background -- Local binary patterns for still images -- Spatiotemporal LBP -- Texture classification and segmentation -- Description of interest regions -- Applications in image retrieval and 3D recognition -- Recognition and segmentation of dynamic textures -- Background subtraction -- Recognition of actions -- Face analysis using still images -- Face analysis using image sequences -- Visual recognition of spoken phrases -- LBP in different applications En línea: http://dx.doi.org/10.1007/978-0-85729-748-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33135 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Innovations for Shape Analysis / SpringerLink (Online service) ; Michael Breuß ; Alfred Bruckstein ; Petros Maragos (2013)
Título : Innovations for Shape Analysis : Models and Algorithms Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Michael Breuß ; Alfred Bruckstein ; Petros Maragos Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Mathematics and Visualization, ISSN 1612-3786 Número de páginas: XXIV, 496 p Il.: online resource ISBN/ISSN/DL: 978-3-642-34141-0 Idioma : Inglés (eng) Palabras clave: Mathematics Computer graphics mathematics Visualization Imaging, Vision, Pattern Recognition and Graphics Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volume reflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow data processing within an acceptable timeframe. Examining important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is a thorough introduction to the latest technology, especially given the tutorial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology, skeletonization, statistical shape modeling, continuous-scale shape models such as partial differential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons, multi-component shapes, deformable shape models, and the use of distance fields. Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers Nota de contenido: Part I Discrete Shape Analysis: 1 Modeling Three-Dimensional Morse and Morse-Smale Complexes by L. Comic et al -- 2 Geodesic Regression and its Application to Shape Analysis by P.Th.Fletcher -- 3 Segmentation and Skeletonization on Arbitrary Graphs Using Multiscale Morphology and Active Contours by P.Maragos and K.Drakopoulos -- 4 Refined Homotopic Thinning Algorithms and Quality Measures for Skeletonisation Methods by P.Peter and M.Breuß -- 5 Nested Sphere Statistics of Skeletal Models by S.M.Pizer et al -- 6 3D Curve Skeleton Computation and Use for Discrete Shape Analysis by G.Sanniti di Baja and C.Arcelli -- 7 Orientation and Anisotropy of Multi-component Shapes by J. Žunic and P.L.Rosin -- Part II Partial Differential Equations for Shape Analysis: 8 Stable semi-local features for non-rigid shapes by R.Litman et al -- 9 A brief survey on semi-Lagrangian schemes for image processing by E.Carlini et al -- 10 Shape reconstruction of symmetric surfaces using Photometric Stereo by R.Mecca and S.Tozza -- 11 Remeshing by Curvature Driven Diffusion by S.Morigi and M.Rucci -- 12 Group-valued Regularization for Motion Segmentation of Articulated Shapes by G.Rosman et al -- 13 Point Cloud Segmentation and Denoising via Constrained Nonlinear Least Squares Normal Estimates by E.Castillo et al -- 14 Distance Images and the Enclosure Field: Applications in Intermediate-Level Computer and Biological Vision by S.W.Zucker -- Part III Optimization Methods for Shape Analysis: 15 Non-rigid Shape Correspondence Using Pointwise Surface Descriptors and Metric Structures by A.Dubrovina et al -- 16 A Review of Geometry Recovery from a Single Image Focusing on Curved Object Reconstruction by M.R.Oswald et al -- 17 On Globally Optimal Local Modeling: From Moving Least Squares to Over-Parametrization by S. Shem-Tov et al -- 18 Incremental Level Set Tracking by S.Dekel et al -- 19 Simultaneous Convex Optimization of Regions and Region Parameters in Image Segmentation Models by E.Bae et al -- 20 Fluctuating Distance Fields, Parts, Three-Partite Skeletons by S.Tari -- 21 Integrated DEM Construction and Calibration of Hyperspectral Imagery: A Remote Sensing Perspective by Ch.Wöhler and A.Grumpe -- Index En línea: http://dx.doi.org/10.1007/978-3-642-34141-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32547 Innovations for Shape Analysis : Models and Algorithms [documento electrónico] / SpringerLink (Online service) ; Michael Breuß ; Alfred Bruckstein ; Petros Maragos . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013 . - XXIV, 496 p : online resource. - (Mathematics and Visualization, ISSN 1612-3786) .
ISBN : 978-3-642-34141-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer graphics mathematics Visualization Imaging, Vision, Pattern Recognition and Graphics Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volume reflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow data processing within an acceptable timeframe. Examining important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is a thorough introduction to the latest technology, especially given the tutorial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology, skeletonization, statistical shape modeling, continuous-scale shape models such as partial differential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons, multi-component shapes, deformable shape models, and the use of distance fields. Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers Nota de contenido: Part I Discrete Shape Analysis: 1 Modeling Three-Dimensional Morse and Morse-Smale Complexes by L. Comic et al -- 2 Geodesic Regression and its Application to Shape Analysis by P.Th.Fletcher -- 3 Segmentation and Skeletonization on Arbitrary Graphs Using Multiscale Morphology and Active Contours by P.Maragos and K.Drakopoulos -- 4 Refined Homotopic Thinning Algorithms and Quality Measures for Skeletonisation Methods by P.Peter and M.Breuß -- 5 Nested Sphere Statistics of Skeletal Models by S.M.Pizer et al -- 6 3D Curve Skeleton Computation and Use for Discrete Shape Analysis by G.Sanniti di Baja and C.Arcelli -- 7 Orientation and Anisotropy of Multi-component Shapes by J. Žunic and P.L.Rosin -- Part II Partial Differential Equations for Shape Analysis: 8 Stable semi-local features for non-rigid shapes by R.Litman et al -- 9 A brief survey on semi-Lagrangian schemes for image processing by E.Carlini et al -- 10 Shape reconstruction of symmetric surfaces using Photometric Stereo by R.Mecca and S.Tozza -- 11 Remeshing by Curvature Driven Diffusion by S.Morigi and M.Rucci -- 12 Group-valued Regularization for Motion Segmentation of Articulated Shapes by G.Rosman et al -- 13 Point Cloud Segmentation and Denoising via Constrained Nonlinear Least Squares Normal Estimates by E.Castillo et al -- 14 Distance Images and the Enclosure Field: Applications in Intermediate-Level Computer and Biological Vision by S.W.Zucker -- Part III Optimization Methods for Shape Analysis: 15 Non-rigid Shape Correspondence Using Pointwise Surface Descriptors and Metric Structures by A.Dubrovina et al -- 16 A Review of Geometry Recovery from a Single Image Focusing on Curved Object Reconstruction by M.R.Oswald et al -- 17 On Globally Optimal Local Modeling: From Moving Least Squares to Over-Parametrization by S. Shem-Tov et al -- 18 Incremental Level Set Tracking by S.Dekel et al -- 19 Simultaneous Convex Optimization of Regions and Region Parameters in Image Segmentation Models by E.Bae et al -- 20 Fluctuating Distance Fields, Parts, Three-Partite Skeletons by S.Tari -- 21 Integrated DEM Construction and Calibration of Hyperspectral Imagery: A Remote Sensing Perspective by Ch.Wöhler and A.Grumpe -- Index En línea: http://dx.doi.org/10.1007/978-3-642-34141-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32547 Ejemplares
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Título : Ricci Flow for Shape Analysis and Surface Registration : Theories, Algorithms and Applications Tipo de documento: documento electrónico Autores: Wei Zeng ; SpringerLink (Online service) ; Xianfeng David Gu Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: SpringerBriefs in Mathematics, ISSN 2191-8198 Número de páginas: XI, 139 p. 69 illus., 49 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-8781-4 Idioma : Inglés (eng) Palabras clave: Mathematics Computer graphics mathematics Geometry Convex geometry Discrete Imaging, Vision, Pattern Recognition and Graphics Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all the major theorems in surface Ricci flow by themselves. The authors adapt the Ricci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and surface registration, and demonstrate the power of Ricci flow in many applications in medical imaging, computer graphics, computer vision and wireless sensor network. Due to minimal pre-requisites, this book is accessible to engineers and medical experts, including educators, researchers, students and industry engineers who have an interest in solving real problems related to shape analysis and surface registration. Nota de contenido: 1. Introduction -- 2. Computational -- 3. Computational Geometry -- 4. Differential Geometry of Surface -- 5. Riemann Surface -- 6. Ricci Flow -- 7. Topological Algorithms -- 8. Harmonic Maps -- 9. Discrete Ricci Flow -- 10. Shape Analysis -- 11. Surface Diffeomorphism -- 12. Medical Imaging Applications -- 13. Computer Vision Applications -- 14. Computer Graphics Applications -- 15. Network Applications. En línea: http://dx.doi.org/10.1007/978-1-4614-8781-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32402 Ricci Flow for Shape Analysis and Surface Registration : Theories, Algorithms and Applications [documento electrónico] / Wei Zeng ; SpringerLink (Online service) ; Xianfeng David Gu . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XI, 139 p. 69 illus., 49 illus. in color : online resource. - (SpringerBriefs in Mathematics, ISSN 2191-8198) .
ISBN : 978-1-4614-8781-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer graphics mathematics Geometry Convex geometry Discrete Imaging, Vision, Pattern Recognition and Graphics Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all the major theorems in surface Ricci flow by themselves. The authors adapt the Ricci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and surface registration, and demonstrate the power of Ricci flow in many applications in medical imaging, computer graphics, computer vision and wireless sensor network. Due to minimal pre-requisites, this book is accessible to engineers and medical experts, including educators, researchers, students and industry engineers who have an interest in solving real problems related to shape analysis and surface registration. Nota de contenido: 1. Introduction -- 2. Computational -- 3. Computational Geometry -- 4. Differential Geometry of Surface -- 5. Riemann Surface -- 6. Ricci Flow -- 7. Topological Algorithms -- 8. Harmonic Maps -- 9. Discrete Ricci Flow -- 10. Shape Analysis -- 11. Surface Diffeomorphism -- 12. Medical Imaging Applications -- 13. Computer Vision Applications -- 14. Computer Graphics Applications -- 15. Network Applications. En línea: http://dx.doi.org/10.1007/978-1-4614-8781-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32402 Ejemplares
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Título : Foundations of Geometric Algebra Computing Tipo de documento: documento electrónico Autores: Dietmar Hildenbrand ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Geometry and Computing, ISSN 1866-6795 num. 8 Número de páginas: XXVIII, 196 p Il.: online resource ISBN/ISSN/DL: 978-3-642-31794-1 Idioma : Inglés (eng) Palabras clave: Computer science graphics Geometry Applied mathematics Engineering Science Imaging, Vision, Pattern Recognition and Graphics Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics. This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications. The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics Nota de contenido: Chap. 1 Introduction -- Chap. 2 Mathematical Introduction -- Chap. 3 The Conformal Geometric Algebra -- Chap. 4 Maple and the Identification of Quaternions and Other Algebras -- Chap. 5 Fitting of Planes or Spheres into Point Sets -- Chap. 6 Geometric Algebra Tutorial Using CLUCalc -- Chap. 7 Inverse Kinematics of a Simple Robot -- Chap. 8 Robot Grasping an Object -- Chap. 9 Efficient Computer Animation Application in CGA -- Chap. 10 Using Gaalop for Performant Geometric Algebra Computing -- Chap. 11 Collision Detection Using the Gaalop Precompiler -- Chap. 12 Gaalop Precompiler for GPGPUs -- Chap. 13 Molecular Dynamics Using Gaalop GPC for OpenCL -- Chap. 14 Geometric Algebra Computers En línea: http://dx.doi.org/10.1007/978-3-642-31794-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32518 Foundations of Geometric Algebra Computing [documento electrónico] / Dietmar Hildenbrand ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013 . - XXVIII, 196 p : online resource. - (Geometry and Computing, ISSN 1866-6795; 8) .
ISBN : 978-3-642-31794-1
Idioma : Inglés (eng)
Palabras clave: Computer science graphics Geometry Applied mathematics Engineering Science Imaging, Vision, Pattern Recognition and Graphics Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics. This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications. The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics Nota de contenido: Chap. 1 Introduction -- Chap. 2 Mathematical Introduction -- Chap. 3 The Conformal Geometric Algebra -- Chap. 4 Maple and the Identification of Quaternions and Other Algebras -- Chap. 5 Fitting of Planes or Spheres into Point Sets -- Chap. 6 Geometric Algebra Tutorial Using CLUCalc -- Chap. 7 Inverse Kinematics of a Simple Robot -- Chap. 8 Robot Grasping an Object -- Chap. 9 Efficient Computer Animation Application in CGA -- Chap. 10 Using Gaalop for Performant Geometric Algebra Computing -- Chap. 11 Collision Detection Using the Gaalop Precompiler -- Chap. 12 Gaalop Precompiler for GPGPUs -- Chap. 13 Molecular Dynamics Using Gaalop GPC for OpenCL -- Chap. 14 Geometric Algebra Computers En línea: http://dx.doi.org/10.1007/978-3-642-31794-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32518 Ejemplares
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Título : Geometric Methods and Applications : For Computer Science and Engineering Tipo de documento: documento electrónico Autores: Jean Gallier ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: Texts in Applied Mathematics, ISSN 0939-2475 num. 38 Número de páginas: XXVIII, 680 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-9961-0 Idioma : Inglés (eng) Palabras clave: Mathematics Computer graphics Geometry Mathematical optimization Control engineering Robotics Mechatronics Imaging, Vision, Pattern Recognition and Graphics Control, Robotics, Optimization Clasificación: 51 Matemáticas Resumen: This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. This book covers the following topics: affine geometry, projective geometry, Euclidean geometry, convex sets, SVD and principal component analysis, manifolds and Lie groups, quadratic optimization, basics of differential geometry, and a glimpse of computational geometry (Voronoi diagrams and Delaunay triangulations). Some practical applications of the concepts presented in this book include computer vision, more specifically contour grouping, motion interpolation, and robot kinematics. In this extensively updated second edition, more material on convex sets, Farkas’s lemma, quadratic optimization and the Schur complement have been added. The chapter on SVD has been greatly expanded and now includes a presentation of PCA. The book is well illustrated and has chapter summaries and a large number of exercises throughout. It will be of interest to a wide audience including computer scientists, mathematicians, and engineers. Reviews of first edition: "Gallier's book will be a useful source for anyone interested in applications of geometrical methods to solve problems that arise in various branches of engineering. It may help to develop the sophisticated concepts from the more advanced parts of geometry into useful tools for applications." (Mathematical Reviews, 2001) "...it will be useful as a reference book for postgraduates wishing to find the connection between their current problem and the underlying geometry." (The Australian Mathematical Society, 2001) Nota de contenido: Introduction -- Basics of Affine Geometry -- Basic Properties of Convex Sets -- Embedding an Affine Space in a Vector Space -- Basics of Projective Geometry -- Basics of Euclidean Geometry -- Separating and Supporting Hyperplanes; Polar Duality -- Polytopes and Polyhedra -- The Cartan–Dieudonn´e Theorem -- The Quaternions and the Spaces S3, SU(2), SO(3), and RP3 -- Dirichlet–Voronoi Diagrams -- Basics of Hermitian Geometry -- Spectral Theorems -- Singular Value Decomposition (SVD) and Polar Form -- Applications of SVD and Pseudo-Inverses -- Quadratic Optimization Problems -- Schur Complements and Applications -- Quadratic Optimization and Contour Grouping -- Basics of Manifolds and Classical Lie Groups -- Basics of the Differential Geometry of Curves -- Basics of the Differential Geometry of Surfaces -- Appendix -- References -- Symbol Index -- IndexAppendix -- References -- Symbol Index -- Index En línea: http://dx.doi.org/10.1007/978-1-4419-9961-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33210 Geometric Methods and Applications : For Computer Science and Engineering [documento electrónico] / Jean Gallier ; SpringerLink (Online service) . - New York, NY : Springer New York, 2011 . - XXVIII, 680 p : online resource. - (Texts in Applied Mathematics, ISSN 0939-2475; 38) .
ISBN : 978-1-4419-9961-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer graphics Geometry Mathematical optimization Control engineering Robotics Mechatronics Imaging, Vision, Pattern Recognition and Graphics Control, Robotics, Optimization Clasificación: 51 Matemáticas Resumen: This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. This book covers the following topics: affine geometry, projective geometry, Euclidean geometry, convex sets, SVD and principal component analysis, manifolds and Lie groups, quadratic optimization, basics of differential geometry, and a glimpse of computational geometry (Voronoi diagrams and Delaunay triangulations). Some practical applications of the concepts presented in this book include computer vision, more specifically contour grouping, motion interpolation, and robot kinematics. In this extensively updated second edition, more material on convex sets, Farkas’s lemma, quadratic optimization and the Schur complement have been added. The chapter on SVD has been greatly expanded and now includes a presentation of PCA. The book is well illustrated and has chapter summaries and a large number of exercises throughout. It will be of interest to a wide audience including computer scientists, mathematicians, and engineers. Reviews of first edition: "Gallier's book will be a useful source for anyone interested in applications of geometrical methods to solve problems that arise in various branches of engineering. It may help to develop the sophisticated concepts from the more advanced parts of geometry into useful tools for applications." (Mathematical Reviews, 2001) "...it will be useful as a reference book for postgraduates wishing to find the connection between their current problem and the underlying geometry." (The Australian Mathematical Society, 2001) Nota de contenido: Introduction -- Basics of Affine Geometry -- Basic Properties of Convex Sets -- Embedding an Affine Space in a Vector Space -- Basics of Projective Geometry -- Basics of Euclidean Geometry -- Separating and Supporting Hyperplanes; Polar Duality -- Polytopes and Polyhedra -- The Cartan–Dieudonn´e Theorem -- The Quaternions and the Spaces S3, SU(2), SO(3), and RP3 -- Dirichlet–Voronoi Diagrams -- Basics of Hermitian Geometry -- Spectral Theorems -- Singular Value Decomposition (SVD) and Polar Form -- Applications of SVD and Pseudo-Inverses -- Quadratic Optimization Problems -- Schur Complements and Applications -- Quadratic Optimization and Contour Grouping -- Basics of Manifolds and Classical Lie Groups -- Basics of the Differential Geometry of Curves -- Basics of the Differential Geometry of Surfaces -- Appendix -- References -- Symbol Index -- IndexAppendix -- References -- Symbol Index -- Index En línea: http://dx.doi.org/10.1007/978-1-4419-9961-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33210 Ejemplares
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