Oriented Projective Geometry

preview-18
  • Oriented Projective Geometry Book Detail

  • Author : Jorge Stolfi
  • Release Date : 2014-05-10
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 246
  • ISBN 13 : 1483265196
  • File Size : 91,91 MB

Oriented Projective Geometry by Jorge Stolfi PDF Summary

Book Description: Oriented Projective Geometry: A Framework for Geometric Computations proposes that oriented projective geometry is a better framework for geometric computations than classical projective geometry. The aim of the book is to stress the value of oriented projective geometry for practical computing and develop it as a rich, consistent, and effective tool for computer programmers. The monograph is comprised of 20 chapters. Chapter 1 gives a quick overview of classical and oriented projective geometry on the plane, and discusses their advantages and disadvantages as computational models. Chapters 2 through 7 define the canonical oriented projective spaces of arbitrary dimension, the operations of join and meet, and the concept of relative orientation. Chapter 8 defines projective maps, the space transformations that preserve incidence and orientation; these maps are used in chapter 9 to define abstract oriented projective spaces. Chapter 10 introduces the notion of projective duality. Chapters 11, 12, and 13 deal with projective functions, projective frames, relative coordinates, and cross-ratio. Chapter 14 tells about convexity in oriented projective spaces. Chapters 15, 16, and 17 show how the affine, Euclidean, and linear vector spaces can be emulated with the oriented projective space. Finally, chapters 18 through 20 discuss the computer representation and manipulation of lines, planes, and other subspaces. Computer scientists and programmers will find this text invaluable.

Disclaimer: www.yourbookbest.com does not own Oriented Projective Geometry books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Oriented Projective Geometry

Oriented Projective Geometry

File Size : 28,28 MB
Total View : 5654 Views
DOWNLOAD

Oriented Projective Geometry: A Framework for Geometric Computations proposes that oriented projective geometry is a better framework for geometric computations

Photogrammetric Computer Vision

Photogrammetric Computer Vision

File Size : 51,51 MB
Total View : 7215 Views
DOWNLOAD

This textbook offers a statistical view on the geometry of multiple view analysis, required for camera calibration and orientation and for geometric scene recon

Perspectives on Projective Geometry

Perspectives on Projective Geometry

File Size : 55,55 MB
Total View : 5622 Views
DOWNLOAD

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

Introduction to Geometric Computing

Introduction to Geometric Computing

File Size : 30,30 MB
Total View : 3974 Views
DOWNLOAD

Computing is quickly making much of geometry intriguing not only for philosophers and mathematicians, but also for scientists and engineers. What is the core se

Multiple View Geometry in Computer Vision

Multiple View Geometry in Computer Vision

File Size : 13,13 MB
Total View : 4003 Views
DOWNLOAD

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 take