Projective Geometry

ebook Exploring Projective Geometry in Computer Vision · Computer Vision

By Fouad Sabry

cover image of Projective Geometry

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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.

Projective Geometry