Download or read book Geometr a proyectiva y visi n artificial written by Alvaro Nolla De Celis and published by Ediciones de la U. This book was released on 2023-05-16 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: La Geometría Proyectiva es el modelo idóneo para representar el paso del mundo real tridimensional al bidimensional de las imágenes planas que encontramos en cualquier pantalla o dispositivo móvil. Este libro contiene una introducción a los conceptos de la Geometría Proyectiva presentes en el campo de la Visión Artificial o Visión por Ordenador, a través de ejemplos prácticos desarrollados paso a paso con el software matemático libre Octave. El texto comienza describiendo los distintos tipos de transformaciones homogéneas del plano y del espacio para centrarse en las proyecciones en perspectiva, que constituyen una de las partes fundamentales del modelo de cámara que rige el paso del espacio 3D al 2D. Se estudia cómo conceptos proyectivos como las homografías, los puntos de fuga o la cónica del infinito, se utilizan en aplicaciones gráficas de rectificación de imágenes, construcción de panorámicas o calibración de cámaras. Además, se aborda el problema de la reconstrucción tridimensional a partir de dos vistas, aplicando la geometría epipolar para recuperar los modelos presentes en una escena a partir de dos imágenes reales.
Download or read book Geometr a proyectiva y visi n artificial written by Álvaro Nolla de Celis and published by . This book was released on 2021 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometr a Proyectiva y Visi n Artificial written by Álvaro Nolla de Celis and published by Editorial Ink. This book was released on 2022-10-20 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: La Geometría Proyectiva es el modelo idóneo para representar el paso del mundo real tridimensional al bidimensional de la imágenes planas que encontramos en cualquier pantalla o dispositivo móvil. Este libro contiene una introducción a los conceptos de la Geometría Proyectiva presentes en el campo de la Visión Artificial o Visión por Ordenador, a través de ejemplos prácticos desarrollados paso a paso con el software matemático libre Octave. El texto comienza describiendo los distintos tipos de transformaciones homogéneas del plano y del espacio para centrarse en las proyecciones en perspectiva, que constituyen una de las partes fundamentales del modelo de cámara que rige el paso del espacio 3D al 2D. Se estudia cómo conceptos proyectivos como las homografías, los puntos de fuga o la cónica del infinito, se utilizan en aplicaciones gráficas como la rectificación de imágenes, la construcción de panorámicas o la calibración de cámaras. Además, se aborda el problema de la reconstrucción tridimensional a partir de dos vistas, aplicando la geometría epipolar para recuperar los modelos presentes en una escena a partir de dos imágenes reales.
Download or read book Geometr a proyectiva written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-04-30 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Qué es la Geometría Proyectiva La geometría proyectiva es una rama de las matemáticas que se centra en el estudio de las cualidades geométricas que permanecen sin cambios independientemente de las transformaciones que se les estén aplicando. Esto indica que, a diferencia de la geometría euclidiana simple, la geometría proyectiva se caracteriza por un entorno distinto, un espacio que es el tema del proyecto y una colección limitada de nociones geométricas fundamentales. Para una dimensión dada, las intuiciones fundamentales son que el espacio proyectivo tiene un mayor número de puntos que el espacio euclidiano, y que se permiten transformaciones geométricas que cambian los puntos extra en puntos euclidianos, y viceversa. Cómo se beneficiará (I) Insights y validaciones sobre los siguientes temas: Capítulo 1: Geometría proyectiva Capítulo 2 : Plano proyectivo Capítulo 3: Espacio proyectivo Capítulo 4: Geometría afín Capítulo 5: Teorema de Desargues Capítulo 6: Dualidad (geometría proyectiva) Capítulo 7: Cuadrángulo completo Capítulo 8: Homografía Capítulo 9: Configuración de Desargues Capítulo 10: Cónica sección (II) Respondiendo a las principales preguntas del público sobre la geometría proyectiva. (III) Ejemplos del mundo real para el uso de la geometría proyectiva en muchos campos. Para quién es este libro Profesionales, estudiantes de pregrado y posgrado, entusiastas, aficionados y aquellos que quieran ir más allá del conocimiento o la información básica para cualquier tipo de Geometría Proyectiva. p>
Download or read book Geometr a epipolar written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-05-14 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Qué es la geometría epipolar La geometría epipolar es la geometría de la visión estéreo. Cuando dos cámaras ven una escena 3D desde dos posiciones distintas, hay una serie de relaciones geométricas entre los puntos 3D y sus proyecciones sobre las imágenes 2D que generan restricciones entre los puntos de la imagen. Estas relaciones se derivan de la suposición de que las cámaras pueden aproximarse mediante el modelo de cámara estenopeica. Cómo se beneficiará (I) Insights, y validaciones sobre los siguientes temas: Capítulo 1: Geometría epipolar Capítulo 2: Aberración óptica Capítulo 3: Distancia focal Capítulo 4: Lente de la cámara Capítulo 5: Proyección 3D Capítulo 6: Punto de fuga Capítulo 7: Distorsión (óptica) Capítulo 8: Proyección paralela Capítulo 9: Colinealidad Capítulo 10: Matriz fundamental (visión por computadora) (II) Respondiendo las principales preguntas del público sobre geometría epipolar . (III) Ejemplos del mundo real sobre el uso de la geometría epipolar en muchos campos. Para quién es este libro Profesionales, estudiantes de pregrado y posgrado, entusiastas, aficionados y aquellos que quieran ir más allá del conocimiento o información básica para cualquier tipo de Geometría Epipolar.
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.
Download or read book Geometr a proyectiva y descriptiva written by Luis Manfredi and published by . This book was released on 1918 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Uncertain Projective Geometry written by Stephan Heuel and published by Springer Science & Business Media. This book was released on 2004-04-29 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic projective geometry, with its multilinear relations and its embedding into Grassmann-Cayley algebra, has become the basic representation of multiple view geometry, resulting in deep insights into the algebraic structure of geometric relations, as well as in efficient and versatile algorithms for computer vision and image analysis. This book provides a coherent integration of algebraic projective geometry and spatial reasoning under uncertainty with applications in computer vision. Beyond systematically introducing the theoretical foundations from geometry and statistics and clear rules for performing geometric reasoning under uncertainty, the author provides a collection of detailed algorithms. The book addresses researchers and advanced students interested in algebraic projective geometry for image analysis, in statistical representation of objects and transformations, or in generic tools for testing and estimating within the context of geometric multiple-view analysis.
Download or read book Accurate Visual Metrology from Single and Multiple Uncalibrated Images written by Antonio Criminisi and published by Springer Science & Business Media. This book was released on 2012-09-10 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accurate Visual Metrology from Single and Multiple Uncalibrated Images presents novel techniques for constructing three-dimensional models from bi-dimensional images using virtual reality tools. Antonio Criminisi develops the mathematical theory of computing world measurements from single images, and builds up a hierarchy of novel, flexible techniques to make measurements and reconstruct three-dimensional scenes from uncalibrated images, paying particular attention to the accuracy of the reconstruction. This book includes examples of interesting viable applications (eg. Forensic Science, History of Art, Virtual Reality, Architectural and indoor measurements), presented in a simple way, accompanied by pictures, diagrams and plenty of worked examples to help the reader understand and implement the algorithms.
Download or read book Handbook of Geometric Computing written by Eduardo Bayro Corrochano and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many computer scientists, engineers, applied mathematicians, and physicists use geometry theory and geometric computing methods in the design of perception-action systems, intelligent autonomous systems, and man-machine interfaces. This handbook brings together the most recent advances in the application of geometric computing for building such systems, with contributions from leading experts in the important fields of neuroscience, neural networks, image processing, pattern recognition, computer vision, uncertainty in geometric computations, conformal computational geometry, computer graphics and visualization, medical imagery, geometry and robotics, and reaching and motion planning. For the first time, the various methods are presented in a comprehensive, unified manner. This handbook is highly recommended for postgraduate students and researchers working on applications such as automated learning; geometric and fuzzy reasoning; human-like artificial vision; tele-operation; space maneuvering; haptics; rescue robots; man-machine interfaces; tele-immersion; computer- and robotics-aided neurosurgery or orthopedics; the assembly and design of humanoids; and systems for metalevel reasoning.
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.
Download or read book The Geometry of Multiple Images written by Olivier Faugeras and published by MIT Press (MA). This book was released on 2001 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last forty years, researchers have made great strides in elucidating the laws of image formation, processing, and understanding by animals, humans, and machines. This book describes the state of knowledge in one subarea of vision, the geometric laws that relate different views of a scene. Geometry, one of the oldest branches of mathematics, is the natural language for describing three-dimensional shapes and spatial relations. Projective geometry, the geometry that best models image formation, provides a unified framework for thinking about many geometric problems relevant to vision. The book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Images play a prominent role in computer communications. Producers and users of images, in particular three-dimensional images, require a framework for stating and solving problems. The book offers a number of conceptual tools and theoretical results useful for the design of machine vision algorithms. It also illustrates these tools and results with many examples of real applications.
Download or read book Geometric Computation for Machine Vision written by Kenichi Kanatani and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents computational techniques for machine vision necessary for building intelligent robots which can understand the environment by vision. The main topics include 3-D shape analysis, camera calibration, road scene analysis, 3-D motion analysis and optical flow analysis.
Download or read book Geometria Proyectiva written by Thomas Ewan Faulkner and published by . This book was released on 1948 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Affine Analysis of Image Sequences written by Larry S. Shapiro and published by Cambridge University Press. This book was released on 2005-09-15 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer vision is a rapidly growing field which aims to make computers 'see' as effectively as humans. In this book Dr Shapiro presents a new computer vision framework for interpreting time-varying imagery. This is an important task, since movement reveals valuable information about the environment. The fully-automated system operates on long, monocular image sequences containing multiple, independently-moving objects, and demonstrates the practical feasibility of recovering scene structure and motion in a bottom-up fashion. Real and synthetic examples are given throughout, with particular emphasis on image coding applications. Novel theory is derived in the context of the affine camera, a generalisation of the familiar scaled orthographic model. Analysis proceeds by tracking 'corner features' through successive frames and grouping the resulting trajectories into rigid objects using new clustering and outlier rejection techniques. The three-dimensional motion parameters are then computed via 'affine epipolar geometry', and 'affine structure' is used to generate alternative views of the object and fill in partial views. The use of all available features (over multiple frames) and the incorporation of statistical noise properties substantially improves existing algorithms, giving greater reliability and reduced noise sensitivity.
Download or read book Close Range Photogrammetry written by Thomas Luhmann and published by Wiley. This book was released on 2007-01-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative guide to close range photogrammetry. The first comprehensive modern text on this subject in English, expanded and updated from the German text by Luhmann. This book provides a thorough presentation of the methods, mathematics, systems and applications which comprise the subject of close range photogrammetry, which uses accurate imaging techniques to analyse the three-dimensional shape of a wide range of manufactured and natural objects. Close range photogrammetry, for the most part entirely digital, has become an accepted, powerful and readily available technique for engineers and scientists who wish to utilise images to make accurate 3-D measurements of complex objects. After an introduction, the book provides fundamental mathematics, including orientation, digital imaging processing and 3-D reconstruction methods, as well as presenting a discussion of imaging technology including targeting and illumination, hardware and software systems. Finally it gives a short overview of photogrammetric solutions for typical applications in engineering, manufacturing, medical science, architecture, archaeology and other fields.
Download or read book Affine Analysis of Image Sequences written by Larry Saul Shapiro and published by . This book was released on 1993 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
