Projective Geometry

Exploring Projective Geometry in Computer Vision

Fouad Sabry

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Beschreibung

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.

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Schlagwörter

Projective space, Desargues's theorem, Complete quadrangle, Projective plane, Affine geometry, Projective geometry, Duality (projective geometry)