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Optical Computational Geometry
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Book Synopsis Optical Computational Geometry by : Yevgeny Karasik
Download or read book Optical Computational Geometry written by Yevgeny Karasik and published by Independently Published. This book was released on 2021-08-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric problems can be solved in two ways, by calculating the solution or by its construction. The classical means of geometric constructions, the straight edge/ruler and the compass, are very limited in their capabilities. Most geometric problems cannot be solved by constructing the solution with their help. That is why until recently they were solved numerically with the help of algorithms of Computational Geometry. However advances in optical technology allowed solving them by the step-by-step formation of an optical image of the solution. Such image formation is nothing else but its step-by-step construction by optical means. Just not a ruler and a compass are used to draw the solution on a sheet of paper, but optical devices are used to step-by-step transform the images of the given figures (represented as optical transparencies) into an image of the solution to a problem. This book is an introduction to the theory of such geometric constructions with the help of optical devices. It presents step-by-step procedures for transforming the light wave images of the given figures into images of solutions to various geometric problems. Such procedures are dubbed optical algorithms in the book. The book is thereby the first presentation of the theory of optical algorithms.
Book Synopsis Optical Computational Geometry by : Yevgeny B Karasik
Download or read book Optical Computational Geometry written by Yevgeny B Karasik and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optical Computational Geometry by : Yevgeny B. Karasik
Download or read book Optical Computational Geometry written by Yevgeny B. Karasik and published by . This book was released on 1993 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Geometry, Topology and Physics of Digital Images with Applications by : James F. Peters
Download or read book Computational Geometry, Topology and Physics of Digital Images with Applications written by James F. Peters and published by Springer Nature. This book was released on 2019-10-03 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes. The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, computational physics is synonymous with the study of the fine structure of light choreographed in video frames. This choreography appears as a sequence of snapshots of light reflected and refracted from surface shapes, providing a solid foundation for detecting, analyzing and classifying visual scene shapes.
Book Synopsis Guide to Computational Geometry Processing by : J. Andreas Bærentzen
Download or read book Guide to Computational Geometry Processing written by J. Andreas Bærentzen and published by Springer Science & Business Media. This book was released on 2012-05-31 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. Features: presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite difference methods for derivatives and differential equations; reviews geometry representations, including polygonal meshes, splines, and subdivision surfaces; examines techniques for computing curvature from polygonal meshes; describes algorithms for mesh smoothing, mesh parametrization, and mesh optimization and simplification; discusses point location databases and convex hulls of point sets; investigates the reconstruction of triangle meshes from point clouds, including methods for registration of point clouds and surface reconstruction; provides additional material at a supplementary website; includes self-study exercises throughout the text.
Book Synopsis Applications of Optical Techniques in Interconnections, Image/video Compression, and Computational Geometry by : Akitoshi Yoshida
Download or read book Applications of Optical Techniques in Interconnections, Image/video Compression, and Computational Geometry written by Akitoshi Yoshida and published by . This book was released on 1994 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry, Morphology, and Computational Imaging by : Tetsuo Asano
Download or read book Geometry, Morphology, and Computational Imaging written by Tetsuo Asano and published by Springer Science & Business Media. This book was released on 2003-04-08 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 11th International Workshop on Theoretical Foundations of Computer Vision, held in Dagstuhl Castle, Germany in April 2002. The 27 revised full papers presented went through two rounds of reviewing and improvement and assess the state of the art in geometry, morphology, and computational imaging. The papers are organized in sections on geometry - models and algorithms; property measurement in the grid and on finite samples; features, shape, and morphology; and computer vision and scene analysis.
Book Synopsis Geometry-Driven Diffusion in Computer Vision by : Bart M. Haar Romeny
Download or read book Geometry-Driven Diffusion in Computer Vision written by Bart M. Haar Romeny and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scale is a concept the antiquity of which can hardly be traced. Certainly the familiar phenomena that accompany sc ale changes in optical patterns are mentioned in the earliest written records. The most obvious topological changes such as the creation or annihilation of details have been a topic to philosophers, artists and later scientists. This appears to of fascination be the case for all cultures from which extensive written records exist. For th instance, chinese 17 c artist manuals remark that "distant faces have no eyes" . The merging of details is also obvious to many authors, e. g. , Lucretius mentions the fact that distant islands look like a single one. The one topo logical event that is (to the best of my knowledge) mentioned only late (by th John Ruskin in his "Elements of drawing" of the mid 19 c) is the splitting of a blob on blurring. The change of images on a gradual increase of resolu tion has been a recurring theme in the arts (e. g. , the poetic description of the distant armada in Calderon's The Constant Prince) and this "mystery" (as Ruskin calls it) is constantly exploited by painters.
Book Synopsis Guide to Computational Geometry Processing by : J. Andreas Bærentzen
Download or read book Guide to Computational Geometry Processing written by J. Andreas Bærentzen and published by Springer. This book was released on 2012-05-31 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. Features: presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite difference methods for derivatives and differential equations; reviews geometry representations, including polygonal meshes, splines, and subdivision surfaces; examines techniques for computing curvature from polygonal meshes; describes algorithms for mesh smoothing, mesh parametrization, and mesh optimization and simplification; discusses point location databases and convex hulls of point sets; investigates the reconstruction of triangle meshes from point clouds, including methods for registration of point clouds and surface reconstruction; provides additional material at a supplementary website; includes self-study exercises throughout the text.
Book Synopsis Multiple View Geometry in Computer Vision by : Richard Hartley
Download or read book Multiple View Geometry in Computer Vision written by Richard Hartley and published by Cambridge University Press. This book was released on 2004-03-25 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.
Book Synopsis Computational Geometry by : Fouad Sabry
Download or read book Computational Geometry written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-05-04 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Computational Geometry Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms, and such problems are also considered to be part of computational geometry. While modern computational geometry is a recent development, it is one of the oldest fields of computing with a history stretching back to antiquity. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Computational geometry Chapter 2: Delaunay triangulation Chapter 3: Convex hull Chapter 4: Voronoi diagram Chapter 5: Discrete geometry Chapter 6: Polygon triangulation Chapter 7: Euclidean minimum spanning tree Chapter 8: Simple polygon Chapter 9: Point-set triangulation Chapter 10: Triangulation (geometry) (II) Answering the public top questions about computational geometry. (III) Real world examples for the usage of computational geometry in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Computational Geometry.
Book Synopsis Computational Geometry by : Franco P. Preparata
Download or read book Computational Geometry written by Franco P. Preparata and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2
Book Synopsis Geometric Computation for Machine Vision by : Kenʼichi Kanatani
Download or read book Geometric Computation for Machine Vision written by Kenʼichi Kanatani and published by . This book was released on 1993-06-03 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine vision is the study of how to build intelligent machines which can understand the environment by vision. This book is unique in that it is entirely devoted to computational problems, topics that most books consider only peripherally. It considers in detail the mathematics--such as projective geometry--underlying all vision problems. Since projective geometry has been developed by mathematicians without regard to machine vision applications, this book attempts to define forms applicable to machine vision problems. The resulting formulation is termed computational projective geometry and is applied to 3-D shape analysis, camera calibration, road scene analysis, 3-D motion analysis, optical flow analysis, and conic image analysis. Special emphasis is put on robustness as it applies to data accuracy and to statistical analysis of computations based on image data. This book will be invaluable to researchers and students involved in machine vision as it applies to robotic, computer, and electrical engineering.
Book Synopsis Geometric Level Set Methods in Imaging, Vision, and Graphics by : Stanley Osher
Download or read book Geometric Level Set Methods in Imaging, Vision, and Graphics written by Stanley Osher and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is, for the first time, a book that clearly explains and applies new level set methods to problems and applications in computer vision, graphics, and imaging. It is an essential compilation of survey chapters from the leading researchers in the field. The applications of the methods are emphasized.
Book Synopsis An Invitation to 3-D Vision by : Yi Ma
Download or read book An Invitation to 3-D Vision written by Yi Ma and published by Springer Science & Business Media. This book was released on 2012-11-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the geometry of 3-D vision, that is, the reconstruction of 3-D models of objects from a collection of 2-D images. It details the classic theory of two view geometry and shows that a more proper tool for studying the geometry of multiple views is the so-called rank consideration of the multiple view matrix. It also develops practical reconstruction algorithms and discusses possible extensions of the theory.
Book Synopsis Geometry-Driven Diffusion in Computer Vision by : Bart M Haar Romeny
Download or read book Geometry-Driven Diffusion in Computer Vision written by Bart M Haar Romeny and published by Springer. This book was released on 2014-01-15 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Digital Geometry Algorithms by : Valentin E. Brimkov
Download or read book Digital Geometry Algorithms written by Valentin E. Brimkov and published by Springer Science & Business Media. This book was released on 2012-05-20 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital geometry emerged as an independent discipline in the second half of the last century. It deals with geometric properties of digital objects and is developed with the unambiguous goal to provide rigorous theoretical foundations for devising new advanced approaches and algorithms for various problems of visual computing. Different aspects of digital geometry have been addressed in the literature. This book is the first one that explicitly focuses on the presentation of the most important digital geometry algorithms. Each chapter provides a brief survey on a major research area related to the general volume theme, description and analysis of related fundamental algorithms, as well as new original contributions by the authors. Every chapter contains a section in which interesting open problems are addressed.
