Download or read book Projective Transformations written by P. S. Modenov and published by Academic Press. This book was released on 2014-05-12 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Transformations, Volume 2: Projective Transformations focuses on collinearity-preserving transformations of the projective plane. The book first offers information on projective transformations, as well as the concept of a projective plane, definition of a projective mapping, fundamental theorems on projective transformations, cross ratio, and harmonic sets. Examples of projective transformations, projective transformations in coordinates, quadratic curves in the projective plane, and projective transformations of space are also discussed. The text then examines inversion, including the power of a point with respect to a circle, definition and properties of inversion, and circle transformations and the fundamental theorem. The manuscript elaborates on the principle of duality. The manuscript is designed for use in geometry seminars in universities and teacher-training colleges. The text can also be used as supplementary reading by high school teachers who want to extend their range of knowledge on projective transformations.
Download or read book Projective Geometry and Point Transformations written by Joseph Verdina and published by . This book was released on 1970 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Projective Geometry and Its Applications written by Arnold Emch and published by . This book was released on 1905 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Transformations and Geometries written by David Gans and published by . This book was released on 1969 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Projective Geometry written by Oswald Veblen and published by . This book was released on 1918 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Analytic Basis of Projective Geometry written by Sister Mariola and published by . This book was released on 1913 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Perspectives on Projective Geometry written by Jürgen Richter-Gebert and published by Springer Science & Business Media. This book was released on 2011-02-04 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.
Download or read book Continuous Groups of Projective Transformations Treated Synthetically written by Henry Byron Newson and published by . This book was released on 1895 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Projective Geometry and Its Applications to Computer Graphics written by Michael A. Penna and published by Prentice Hall. This book was released on 1986 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Projective Geometry written by Roy Martin Winger and published by . This book was released on 1923 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Projective and Euclidean Geometry written by W. T. Fishback and published by John Wiley & Sons. This book was released on 1969-01-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Algebra and Projective Geometry written by Reinhold Baer and published by Courier Corporation. This book was released on 2012-06-11 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.
Download or read book Uncertain Projective Geometry written by Stephan Heuel and published by Springer. This book was released on 2004-04-22 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 Lectures on Analytic and Projective Geometry written by Dirk J. Struik and published by Courier Corporation. This book was released on 2014-03-05 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate text develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. 1953 edition.
Download or read book Projective Geometry written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-04-30 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Projective Geometry Projective geometry is a branch of mathematics that focuses on the study of geometric qualities that remain unchanged regardless of the transformations that are being applied to them. This indicates that, in contrast to simple Euclidean geometry, projective geometry is characterized by a distinct environment, a space that is the subject of the project, and a limited collection of fundamental geometric notions. For a given dimension, the fundamental intuitions are that projective space has a greater number of points than Euclidean space does, and that geometric transformations are allowed that change the extra points into Euclidean points, and vice versa. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Projective geometry Chapter 2: Projective plane Chapter 3: Projective space Chapter 4: Affine geometry Chapter 5: Desargues's theorem Chapter 6: Duality (projective geometry) Chapter 7: Complete quadrangle Chapter 8: Homography Chapter 9: Desargues configuration Chapter 10: Conic section (II) Answering the public top questions about projective geometry. (III) Real world examples for the usage of projective 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 Projective Geometry.
Download or read book The Axioms of Projective Geometry written by Alfred North Whitehead and published by . This book was released on 1906 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
