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Título : Geometric Optics : Theory and Design of Astronomical Optical Systems Using Mathematica® Tipo de documento: documento electrónico Autores: Antonio Romano ; SpringerLink (Online service) Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Colección: Modeling and Simulation in Science, Engineering and Technology Número de páginas: XII, 224 p. 130 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4872-5 Idioma : Inglés (eng) Palabras clave: Physics Mathematical models Geometry Astronomy Astrophysics Cosmology Optics Optoelectronics Plasmons (Physics) Microwaves Optical engineering Optics, Optoelectronics, Plasmonics and Devices Astronomy, Physics, general Modeling Industrial Mathematics Microwaves, RF Engineering Clasificación: 51 Matemáticas Resumen: This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®. The newly presented approach to third-order aberration theory adopted is based on Fermat’s principle and the use of particular optical paths—not rays—termed stigmatic paths, allowing for easy derivation of third-order formulae. This approach enables readers to understand and handle the formulae required to design optical combinations without resorting to the much more complex Hamiltonian formalism and Seidel's relations. Additional features and topics: * Presentation of the third-order design of cameras and telescopes with the aid of Mathematica eliminates the need for tedious computer calculations * Mathematica notebooks accompanying each optical combination analyzed in the book are available for download at http://extra.springer.com/978-0-8176-4871-8 * Discussion and analysis of specific optical devices: Newtonian and Cassegrain telescopes; Schmidt, Wright, Houghton, and Maksutov cameras; and other optical combinations, such as the Klevtsov telescope and the Baker–Schmidt flat-field camera * Additional supplementary material available at the publisher's website * Many worked-out examples and exercises Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics Nota de contenido: Fermat#x2019;s Principle and General Considerations Regarding Centered Optical Systems -- Gaussian Optics -- Fermat#x2019;s Principle and Third-Order Aberrations -- Newtonian and Cassegrain Telescopes -- Cameras for Astronomy -- Compound Cassegrain Telescopes -- Doublets and Triplets -- Other Optical Combinations -- Fermat#x2019;s Principle and Wavefronts -- Hamiltonian Optics -- Monochromatic Third-Order Aberrations En línea: http://dx.doi.org/10.1007/978-0-8176-4872-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33545 Geometric Optics : Theory and Design of Astronomical Optical Systems Using Mathematica® [documento electrónico] / Antonio Romano ; SpringerLink (Online service) . - Boston : Birkhäuser Boston, 2010 . - XII, 224 p. 130 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology) .
ISBN : 978-0-8176-4872-5
Idioma : Inglés (eng)
Palabras clave: Physics Mathematical models Geometry Astronomy Astrophysics Cosmology Optics Optoelectronics Plasmons (Physics) Microwaves Optical engineering Optics, Optoelectronics, Plasmonics and Devices Astronomy, Physics, general Modeling Industrial Mathematics Microwaves, RF Engineering Clasificación: 51 Matemáticas Resumen: This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®. The newly presented approach to third-order aberration theory adopted is based on Fermat’s principle and the use of particular optical paths—not rays—termed stigmatic paths, allowing for easy derivation of third-order formulae. This approach enables readers to understand and handle the formulae required to design optical combinations without resorting to the much more complex Hamiltonian formalism and Seidel's relations. Additional features and topics: * Presentation of the third-order design of cameras and telescopes with the aid of Mathematica eliminates the need for tedious computer calculations * Mathematica notebooks accompanying each optical combination analyzed in the book are available for download at http://extra.springer.com/978-0-8176-4871-8 * Discussion and analysis of specific optical devices: Newtonian and Cassegrain telescopes; Schmidt, Wright, Houghton, and Maksutov cameras; and other optical combinations, such as the Klevtsov telescope and the Baker–Schmidt flat-field camera * Additional supplementary material available at the publisher's website * Many worked-out examples and exercises Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics Nota de contenido: Fermat#x2019;s Principle and General Considerations Regarding Centered Optical Systems -- Gaussian Optics -- Fermat#x2019;s Principle and Third-Order Aberrations -- Newtonian and Cassegrain Telescopes -- Cameras for Astronomy -- Compound Cassegrain Telescopes -- Doublets and Triplets -- Other Optical Combinations -- Fermat#x2019;s Principle and Wavefronts -- Hamiltonian Optics -- Monochromatic Third-Order Aberrations En línea: http://dx.doi.org/10.1007/978-0-8176-4872-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33545 Ejemplares
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Título : Mathematical Problems in Image Processing : Partial Differential Equations and the Calculus of Variations Tipo de documento: documento electrónico Autores: Gilles Aubert ; SpringerLink (Online service) ; Pierre Kornprobst Editorial: New York, NY : Springer New York Fecha de publicación: 2006 Colección: Applied Mathematical Sciences, ISSN 0066-5452 num. 147 Número de páginas: XXXI, 379 p Il.: online resource ISBN/ISSN/DL: 978-0-387-44588-5 Idioma : Inglés (eng) Palabras clave: Mathematics Image processing Mathematical analysis Analysis (Mathematics) Partial differential equations Optics Optoelectronics Plasmons (Physics) Applied mathematics Engineering Optics, Optoelectronics, Plasmonics and Optical Devices Appl.Mathematics/Computational Methods of Differential Equations Processing Computer Vision Signal, Speech Clasificación: 51 Matemáticas Resumen: Partial differential equations (PDEs) and variational methods were introduced into image processing about fifteen years ago. Since then, intensive research has been carried out. The goals of this book are to present a variety of image analysis applications, the precise mathematics involved and how to discretize them. Thus, this book is intended for two audiences. The first is the mathematical community by showing the contribution of mathematics to this domain. It is also the occasion to highlight some unsolved theoretical questions. The second is the computer vision community by presenting a clear, self-contained and global overview of the mathematics involved in image processing problems. This work will serve as a useful source of reference and inspiration for fellow researchers in Applied Mathematics and Computer Vision, as well as being a basis for advanced courses within these fields. During the four years since the publication of the first edition, there has been substantial progress in the range of image processing applications covered by the PDE framework. The main goals of the second edition are to update the first edition by giving a coherent account of some of the recent challenging applications, and to update the existing material. In addition, this book provides the reader with the opportunity to make his own simulations with a minimal effort. To this end, programming tools are made available, which will allow the reader to implement and test easily some classical approaches. Reviews of the earlier edition: "Mathematical Problems in Image Processing is a major, elegant, and unique contribution to the applied mathematics literature, oriented toward applications in image processing and computer vision.... Researchers and practitioners working in the field will benefit by adding this book to their personal collection. Students and instructors will benefit by using this book as a graduate course textbook." -- SIAM Review "The Mathematician -- and he doesn't need to be a 'die-hard' applied mathematician -- will love it because there are all these spectacular applications of nontrivial mathematical techniques and he can even find some open theoretical questions. The numerical analyst will discover many challenging problems and implementations. The image processor will be an eager reader because the book provides all the mathematical elements, including most of the proofs.... Both content and typography are a delight. I can recommend the book warmly for theoretical and applied researchers." -- Bulletin of the Belgian Mathematics Nota de contenido: Foreword -- Preface to the Second Edition -- Preface -- Guide to the Main Mathematical Concepts and their Application -- Notation and Symbols -- Introduction -- Mathematical Preliminaries -- Image Restoration -- The Segmentation Problem -- Other Challenging Applications -- A Introduction to Finite Difference Methods -- B Experiment Yourself!- References -- Index En línea: http://dx.doi.org/10.1007/978-0-387-44588-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34844 Mathematical Problems in Image Processing : Partial Differential Equations and the Calculus of Variations [documento electrónico] / Gilles Aubert ; SpringerLink (Online service) ; Pierre Kornprobst . - New York, NY : Springer New York, 2006 . - XXXI, 379 p : online resource. - (Applied Mathematical Sciences, ISSN 0066-5452; 147) .
ISBN : 978-0-387-44588-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Image processing Mathematical analysis Analysis (Mathematics) Partial differential equations Optics Optoelectronics Plasmons (Physics) Applied mathematics Engineering Optics, Optoelectronics, Plasmonics and Optical Devices Appl.Mathematics/Computational Methods of Differential Equations Processing Computer Vision Signal, Speech Clasificación: 51 Matemáticas Resumen: Partial differential equations (PDEs) and variational methods were introduced into image processing about fifteen years ago. Since then, intensive research has been carried out. The goals of this book are to present a variety of image analysis applications, the precise mathematics involved and how to discretize them. Thus, this book is intended for two audiences. The first is the mathematical community by showing the contribution of mathematics to this domain. It is also the occasion to highlight some unsolved theoretical questions. The second is the computer vision community by presenting a clear, self-contained and global overview of the mathematics involved in image processing problems. This work will serve as a useful source of reference and inspiration for fellow researchers in Applied Mathematics and Computer Vision, as well as being a basis for advanced courses within these fields. During the four years since the publication of the first edition, there has been substantial progress in the range of image processing applications covered by the PDE framework. The main goals of the second edition are to update the first edition by giving a coherent account of some of the recent challenging applications, and to update the existing material. In addition, this book provides the reader with the opportunity to make his own simulations with a minimal effort. To this end, programming tools are made available, which will allow the reader to implement and test easily some classical approaches. Reviews of the earlier edition: "Mathematical Problems in Image Processing is a major, elegant, and unique contribution to the applied mathematics literature, oriented toward applications in image processing and computer vision.... Researchers and practitioners working in the field will benefit by adding this book to their personal collection. Students and instructors will benefit by using this book as a graduate course textbook." -- SIAM Review "The Mathematician -- and he doesn't need to be a 'die-hard' applied mathematician -- will love it because there are all these spectacular applications of nontrivial mathematical techniques and he can even find some open theoretical questions. The numerical analyst will discover many challenging problems and implementations. The image processor will be an eager reader because the book provides all the mathematical elements, including most of the proofs.... Both content and typography are a delight. I can recommend the book warmly for theoretical and applied researchers." -- Bulletin of the Belgian Mathematics Nota de contenido: Foreword -- Preface to the Second Edition -- Preface -- Guide to the Main Mathematical Concepts and their Application -- Notation and Symbols -- Introduction -- Mathematical Preliminaries -- Image Restoration -- The Segmentation Problem -- Other Challenging Applications -- A Introduction to Finite Difference Methods -- B Experiment Yourself!- References -- Index En línea: http://dx.doi.org/10.1007/978-0-387-44588-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34844 Ejemplares
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Título : The Theory of the Moiré Phenomenon : Volume I: Periodic Layers Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Isaac Amidror Editorial: London : Springer London Fecha de publicación: 2009 Otro editor: Imprint: Springer Colección: Computational Imaging and Vision, ISSN 1381-6446 num. 38 Número de páginas: XVIII, 529 p Il.: online resource ISBN/ISSN/DL: 978-1-84882-181-1 Idioma : Inglés (eng) Palabras clave: Mathematics Image processing Fourier analysis Applied mathematics Engineering Optics Optoelectronics Plasmons (Physics) Analysis Optics, Optoelectronics, Plasmonics and Optical Devices Processing Computer Vision Applications of Clasificación: 51 Matemáticas Resumen: This is a new, revised and updated edition of the original book by Isaac Amidror. It presents the most comprehensive and methodical work on the theory of the moiré phenomenon, providing a full general-purpose and application-independent exposition of this fascinating effect. Based on the Fourier theory, it leads the reader through the various phenomena which occur in the superposition of repetitive layers, both in the image and in the spectral domains. The first chapters of the book present the basic theory which covers the superposition of monochrome, periodic layers. In later chapters the theory is extended to the even more interesting cases of polychromatic moirés and moirés between repetitive, non-periodic layers. Throughout the whole text the book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular. This book is intended for students, scientists, engineers and any readers who wish to widen their knowledge of the moiré effect. It also offers a beautiful demonstration of the Fourier theory and its relationship with other fields of mathematics and science. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the Fourier theory Nota de contenido: Background and basic notions -- Moiré minimization -- The moiré profile form and intensity levels -- The algebraic foundation of the spectrum properties -- Fourier-based interpretation of the algebraic spectrum properties -- The superposition phase -- Macro- and microstructures in the superposition -- Polychromatic moiré effects -- Moirés between repetitive, non-periodic layers -- Other possible approaches for moiré analysis En línea: http://dx.doi.org/10.1007/978-1-84882-181-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33984 The Theory of the Moiré Phenomenon : Volume I: Periodic Layers [documento electrónico] / SpringerLink (Online service) ; Isaac Amidror . - London : Springer London : Imprint: Springer, 2009 . - XVIII, 529 p : online resource. - (Computational Imaging and Vision, ISSN 1381-6446; 38) .
ISBN : 978-1-84882-181-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Image processing Fourier analysis Applied mathematics Engineering Optics Optoelectronics Plasmons (Physics) Analysis Optics, Optoelectronics, Plasmonics and Optical Devices Processing Computer Vision Applications of Clasificación: 51 Matemáticas Resumen: This is a new, revised and updated edition of the original book by Isaac Amidror. It presents the most comprehensive and methodical work on the theory of the moiré phenomenon, providing a full general-purpose and application-independent exposition of this fascinating effect. Based on the Fourier theory, it leads the reader through the various phenomena which occur in the superposition of repetitive layers, both in the image and in the spectral domains. The first chapters of the book present the basic theory which covers the superposition of monochrome, periodic layers. In later chapters the theory is extended to the even more interesting cases of polychromatic moirés and moirés between repetitive, non-periodic layers. Throughout the whole text the book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular. This book is intended for students, scientists, engineers and any readers who wish to widen their knowledge of the moiré effect. It also offers a beautiful demonstration of the Fourier theory and its relationship with other fields of mathematics and science. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the Fourier theory Nota de contenido: Background and basic notions -- Moiré minimization -- The moiré profile form and intensity levels -- The algebraic foundation of the spectrum properties -- Fourier-based interpretation of the algebraic spectrum properties -- The superposition phase -- Macro- and microstructures in the superposition -- Polychromatic moiré effects -- Moirés between repetitive, non-periodic layers -- Other possible approaches for moiré analysis En línea: http://dx.doi.org/10.1007/978-1-84882-181-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33984 Ejemplares
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Título : The Theory of the Moiré Phenomenon : Volume II: Aperiodic Layers Tipo de documento: documento electrónico Autores: Isaac Amidror ; SpringerLink (Online service) Editorial: Dordrecht : Springer Netherlands Fecha de publicación: 2007 Colección: Computational Imaging and Vision, ISSN 1381-6446 num. 34 Número de páginas: XV, 493 p Il.: online resource ISBN/ISSN/DL: 978-1-4020-5458-7 Idioma : Inglés (eng) Palabras clave: Mathematics Fourier analysis Applied mathematics Engineering Visualization Optics Optoelectronics Plasmons (Physics) Applications of Analysis Optics, Optoelectronics, Plasmonics and Optical Devices Clasificación: 51 Matemáticas Resumen: Since The Theory of the Moiré Phenomenon was published it became the main reference book in its field. It provided for the first time a complete, unified and coherent theoretical approach for the explanation of the moiré phenomenon, starting from the basics of the theory, but also going in depth into more advanced research results. However, it is clear that a single book cannnot cover the full breadth of such a vast subject, and indeed, this original volume admittently concentrated on only some aspects of the moiré theory, while other interesting topics had to be left out. Perhaps the most important area that remained beyond the scope of the original book consists of the moiré effects that occur between correlated random or aperiodic structures. These moiré effects are known as Glass patterns, after Leon Glass who described them in the late 1960s. However, this branch of the moiré theory remained for many years less widely known and less understood than its periodic or repetitive counterpart: Less widely known because moiré effects between aperiodic or random structures are less frequently encountered in everyday’s life, and less understood because these effects did not easily lend themselves to the same mathematical methods that so nicely explained the classical moiré effects between periodic or repetitive structures Nota de contenido: Background and basic notions -- Glass patterns and fixed loci -- Microstructures: dot trajectories and their morphology -- Moiré phenomena between periodic or aperiodic screens -- Glass patterns in the superposition of aperiodic line gratings -- Quantitative analysis and synthesis of Glass patterns En línea: http://dx.doi.org/10.1007/1-4020-5458-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34577 The Theory of the Moiré Phenomenon : Volume II: Aperiodic Layers [documento electrónico] / Isaac Amidror ; SpringerLink (Online service) . - Dordrecht : Springer Netherlands, 2007 . - XV, 493 p : online resource. - (Computational Imaging and Vision, ISSN 1381-6446; 34) .
ISBN : 978-1-4020-5458-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Fourier analysis Applied mathematics Engineering Visualization Optics Optoelectronics Plasmons (Physics) Applications of Analysis Optics, Optoelectronics, Plasmonics and Optical Devices Clasificación: 51 Matemáticas Resumen: Since The Theory of the Moiré Phenomenon was published it became the main reference book in its field. It provided for the first time a complete, unified and coherent theoretical approach for the explanation of the moiré phenomenon, starting from the basics of the theory, but also going in depth into more advanced research results. However, it is clear that a single book cannnot cover the full breadth of such a vast subject, and indeed, this original volume admittently concentrated on only some aspects of the moiré theory, while other interesting topics had to be left out. Perhaps the most important area that remained beyond the scope of the original book consists of the moiré effects that occur between correlated random or aperiodic structures. These moiré effects are known as Glass patterns, after Leon Glass who described them in the late 1960s. However, this branch of the moiré theory remained for many years less widely known and less understood than its periodic or repetitive counterpart: Less widely known because moiré effects between aperiodic or random structures are less frequently encountered in everyday’s life, and less understood because these effects did not easily lend themselves to the same mathematical methods that so nicely explained the classical moiré effects between periodic or repetitive structures Nota de contenido: Background and basic notions -- Glass patterns and fixed loci -- Microstructures: dot trajectories and their morphology -- Moiré phenomena between periodic or aperiodic screens -- Glass patterns in the superposition of aperiodic line gratings -- Quantitative analysis and synthesis of Glass patterns En línea: http://dx.doi.org/10.1007/1-4020-5458-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34577 Ejemplares
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