Abstract
For a novice, projective geometry usually appears to be a bit odd, and it is not obvious to motivate why its introduction is inevitable and in fact fruitful. One of the main motivations arises from algebraic geometry.
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References
Emil Artin. Geometric Algebra. Wiley Interscience, first edition, 1957.
A. Beutelspacher and U. Rosenbaum. Projective Geometry. Cambridge University Press, first edition, 1998.
Marcel Berger. G´eom´etrie 1. Nathan, 1990. English edition: Geometry 1, Universitext,Springer-Verlag.
Marcel Berger. G´eom´etrie 2. Nathan, 1990. English edition: Geometry 2, Universitext,Springer-Verlag.
H.S.M. Coxeter. Non-Euclidean Geometry. The University of Toronto Press, first edition,1942.
H.S.M. Coxeter. Introduction to Geometry. Wiley, second edition, 1989.
H.S.M. Coxeter. The Real Projective Plane. Springer-Verlag, third edition, 1993.
H.S.M. Coxeter. Projective Geometry. Springer-Verlag, second edition, 1994.
Gaston Darboux. Principes de G´eom´etrie Analytique. Gauthier-Villars, first edition, 1917.
Olivier Faugeras. Three-Dimensional Computer Vision, A Geometric Viewpoint. MIT Press,first edition, 1996.
Gerd Fischer. Mathematical Models, Commentary. Vieweg & Sohn, first edition, 1986.
Gerd Fischer. Mathematische Modelle. Vieweg & Sohn, first edition, 1986.
James Foley, Andries van Dam, Steven Feiner, and John Hughes. Computer Graphics. Principles and Practice. Addison-Wesley, second edition, 1993.
Jean Fresnel. M´ethodes Modernes en G´eom´etrie. Hermann, first edition, 1998.
William Fulton. Algebraic Curves. Advanced Book Classics. Addison-Wesley, first edition,1989.
Joe Harris. Algebraic Geometry, A First Course. GTM No. 133. Springer-Verlag, first edition,1992.
D. Hilbert and S. Cohn-Vossen. Geometry and the Imagination. Chelsea Publishing Co.,1952.
Ramesh Jain, Rangachar Katsuri, and Brian G. Schunck. Machine Vision. McGraw-Hill, first edition, 1995.
Felix Klein. Vorlesungen ¨uber nicht-Euklidische Geometrie. AMS Chelsea, first edition,1927.
Daniel Lehmann and Rudolphe Bkouche. Initiation `a la G´eom´etrie. Puf, first edition, 1988.
Dan Pedoe. Geometry, A Comprehensive Course. Dover, first edition, 1988.
M. Penna and R. Patterson. Projective Geometry and Its Applications to Computer Graphics. Prentice-Hall, first edition, 1986.
Pierre Samuel. Projective Geometry. Undergraduate Texts in Mathematics. Springer-Verlag,first edition, 1988.
J.-C. Sidler. G´eom´etrie Projective. InterEditions, first edition, 1993.
J. Stolfi. Oriented Projective Geometry. Academic Press, first edition, 1991.
Claude Tisseron. G´eom´etries Affines, Projectives, et Euclidiennes. Hermann, first edition,1994.
Emanuele Trucco and Alessandro Verri. Introductory Techniques for 3D Computer Vision. Prentice-Hall, first edition, 1998.
O. Veblen and J. W. Young. Projective Geometry, Vol. 1. Ginn, second edition, 1938.
O. Veblen and J. W. Young. Projective Geometry, Vol. 2. Ginn, first edition, 1946.
Lucas Vienne. Pr´esentation Alg´ebrique de la G´eom´etrie Classique. Vuibert, first edition,1996.
Alan Watt. 3D Computer Graphics. Addison-Wesley, second edition, 1993.
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Gallier, J. (2011). Basics of Projective Geometry. In: Geometric Methods and Applications. Texts in Applied Mathematics, vol 38. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9961-0_5
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