Optical Geometry Of Motion
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Optical Geometry Of Motion
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Author : Alfred A. Robb
language : en
Publisher: Forgotten Books
Release Date : 2017-12-20
Optical Geometry Of Motion written by Alfred A. Robb and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-20 with Science categories.
Excerpt from Optical Geometry of Motion: A New View, of the Theory of Relativity To cover up a general standpoint under a mass of detail is to run the risk of obscuring it altogether. There is always the danger that the reader may not be able to see the wood for the trees - a danger which is becoming very real in much modern mathematics. The substance of the following essay was originally intended by the writer to form a chapter of a book of semi-philosophical character upon which he is engaged. In view, however, of the amount of attention which the subject of Relativity is at present attracting, it seemed to him that this portion might prove of sufficient interest to warrant its separate publication. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Optical Geometry Of Motion
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Author : Alfred Arthur Robb
language : en
Publisher:
Release Date : 1911
Optical Geometry Of Motion written by Alfred Arthur Robb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1911 with Geometry categories.
Optical Geometry Of Motion
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Author : Alfred A. Robb
language : en
Publisher: Forgotten Books
Release Date : 2015-06-12
Optical Geometry Of Motion written by Alfred A. Robb and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-12 with Science categories.
Excerpt from Optical Geometry of Motion: A New View, of the Theory of Relativity In placing before his readers the following brief outline of a point of view, the writer is well aware that it is far from complete in many respects. He however believes that, in the first presentment of a theory, there are considerable advantages in stating explicitly only its principal features. To cover up a general standpoint under a mass of detail is to run the risk of obscuring it altogether. There is always the danger that the reader may "not be able to see the wood for the trees" - a danger which is becoming very real in much modern mathematics. The substance of the following essay was originally intended by the writer to form a chapter of a book of semi-philosophical character upon which he is engaged. In view, however, of the amount of attention which the subject of Relativity is at present attracting, it seemed to him that this portion might prove of sufficient interest to warrant its separate publication. From the standpoint of the pure mathematician Geometry is a branch of formal logic but there are more aspects of things than one, and the geometrician has but to look at the name of his science to be reminded that it had its origin in a definite physical problem. That problem in an extended form still retains its interest. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Optical Geometry Of Motion A New View Of The Theory Of Relativity
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Author : Alfred A Robb
language : en
Publisher: Sagwan Press
Release Date : 2015-08-26
Optical Geometry Of Motion A New View Of The Theory Of Relativity written by Alfred A Robb and has been published by Sagwan Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-26 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Geometric Optics On Phase Space
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Author : Kurt Bernardo Wolf
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-07-21
Geometric Optics On Phase Space written by Kurt Bernardo Wolf and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-21 with Science categories.
Symplectic geometry, well known as the basic structure of Hamiltonian mechanics, is also the foundation of optics. In fact, optical systems (geometric or wave) have an even richer symmetry structure than mechanical ones (classical or quantum). The symmetries underlying the geometric model of light are based on the symplectic group. Geometric Optics on Phase Space develops both geometric optics and group theory from first principles in their Hamiltonian formulation on phase space. This treatise provides the mathematical background and also collects a host of useful methods of practical importance, particularly the fractional Fourier transform currently used for image processing. The reader will appreciate the beautiful similarities between Hamilton's mechanics and this approach to optics. The appendices link the geometry thus introduced to wave optics through Lie methods. The book addresses researchers and graduate students.
Model Based Optical Flow
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Author :
language : en
Publisher:
Release Date : 2017
Model Based Optical Flow written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
Visual Motion Of Curves And Surfaces
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Author : Roberto Cipolla
language : en
Publisher: Cambridge University Press
Release Date : 2000
Visual Motion Of Curves And Surfaces written by Roberto Cipolla and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
Computer vision aims to detect and reconstruct features of surfaces from the images produced by cameras, in some way mimicking the way in which humans reconstruct features of the world around them by using their eyes. In this book the authors describe research in computer vision aimed at recovering the 3D shape of surfaces from image sequences of their 'outlines'. They provide all the necessary background in differential geometry (assuming knowledge of elementary algebra and calculus) and in the analysis of visual motion, emphasising intuitive visual understanding of the geometric techniques with computer-generated illustrations. They also give a thorough introduction to the mathematical techniques and the details of the implementations and apply the methods to data from real images using the most current techniques.
Epipolar Geometry In Stereo Motion And Object Recognition
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Author : Gang Xu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Epipolar Geometry In Stereo Motion And Object Recognition written by Gang Xu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Computers categories.
Appendix 164 3. A 3. A. 1 Approximate Estimation of Fundamental Matrix from General Matrix 164 3. A. 2 Estimation of Affine Transformation 165 4 RECOVERY OF EPIPOLAR GEOMETRY FROM LINE SEGMENTS OR LINES 167 Line Segments or Straight Lines 168 4. 1 4. 2 Solving Motion Using Line Segments Between Two Views 173 4. 2. 1 Overlap of Two Corresponding Line Segments 173 Estimating Motion by Maximizing Overlap 175 4. 2. 2 Implementation Details 4. 2. 3 176 Reconstructing 3D Line Segments 4. 2. 4 179 4. 2. 5 Experimental Results 180 4. 2. 6 Discussions 192 4. 3 Determining Epipolar Geometry of Three Views 194 4. 3. 1 Trifocal Constraints for Point Matches 194 4. 3. 2 Trifocal Constraints for Line Correspondences 199 4. 3. 3 Linear Estimation of K, L, and M Using Points and Lines 200 4. 3. 4 Determining Camera Projection Matrices 201 4. 3. 5 Image Transfer 203 4. 4 Summary 204 5 REDEFINING STEREO, MOTION AND OBJECT RECOGNITION VIA EPIPOLAR GEOMETRY 205 5. 1 Conventional Approaches to Stereo, Motion and Object Recognition 205 5. 1. 1 Stereo 205 5. 1. 2 Motion 206 5. 1. 3 Object Recognition 207 5. 2 Correspondence in Stereo, Motion and Object Recognition as 1D Search 209 5. 2. 1 Stereo Matching 209 xi Contents 5. 2. 2 Motion Correspondence and Segmentation 209 5. 2. 3 3D Object Recognition and Localization 210 Disparity and Spatial Disparity Space 210 5.
Near The Horizon An Invitation To Geometric Optics
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Author : Henk W. Broer
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-12-31
Near The Horizon An Invitation To Geometric Optics written by Henk W. Broer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-31 with Science categories.
Near the Horizon starts out by considering several optical phenomena that can occur when the sun is near the horizon. One can sometimes see objects that are actually below the horizon. Sometimes there seems to be a dark strip in the middle of the solar disk. These are a result of the way that the atmosphere affects the geometry of light rays. Broer starts his book with the Fermat principle (rays of light take least-time paths) and deduces from it laws for refraction and reflection; by expressing these as conservation laws, he can handle both the case of inhomogeneous layers of air and the case of continuous variation in the refraction index. A surprising application is the brachistochrone problem, in which the path of fastest descent is determined by studying how a light ray would behave in a “flat earth” atmosphere whose refraction index is determined by the gravitational potential. This leads to a very interesting chapter on the cycloid and its properties. The final chapters move from the elementary theory to a more sophisticated version in which the Fermat Principle leads to a Riemannian metric whose geodesics are the paths of light rays. This gives us an optics which is geometric in a new sense, and serves as a nice demonstration of the physical applicability of Riemannian geometry.
Interpretation Of Visual Motion
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Author : Muralidhara Subbarao
language : en
Publisher: Morgan Kaufmann
Release Date : 2014-07-10
Interpretation Of Visual Motion written by Muralidhara Subbarao and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Computers categories.
Interpretation of Visual Motion: A Computational Study provides an information processing point of view to the phenomenon of visual motion. This book discusses the computational theory formulated for recovering the scene from monocular visual motion, determining the local geometry and rigid body motion of surfaces from spatio-temporal parameters of visual motion. This compilation also provides a theoretical and computational framework for future research on visual motion, both in human vision and machine vision areas. Other topics include the computation of image flow from intensity derivatives, instantaneous image flow due to rigid motion, time and space-time derivatives of image flow, and estimation of maximum absolute error. This publication is recommended for professionals and non-specialists intending to acquire knowledge of visual motion.