Abstract
Two-dimensional quadratic transformations are considered in the terms of cross ratio. Using the language of geometric algebra the projective plane is reduced to the image plane. Thus, a quadratic transformation in the image plane is constructed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Lasenby, E. Bayro-Corrochano, Analysis and computation of projective invariants from multiple views in the geometric algebra framework, International Journal of Pattern Recognition and Artificial Intelligence 13, no. 8 (1999), 1105–1121.
D. Hestenes, The design of linear algebra and geometry, Acta Applicandae Mathematicae 23 (1991), 65–93.
D. Hestenes, R. Ziegler, Projective geometry with Clifford algebra, Acta Applicandae Mathematicae 23 (1991), 25–63.
J. Semple, G. Kneebone, Algebraic Projective Geometry, Clarendon Press, Oxford, 1998.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media New York
About this chapter
Cite this chapter
Georgiev, G. (2002). Quadratic Transformations in the Projective Plane. In: Dorst, L., Doran, C., Lasenby, J. (eds) Applications of Geometric Algebra in Computer Science and Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0089-5_17
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0089-5_17
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6606-8
Online ISBN: 978-1-4612-0089-5
eBook Packages: Springer Book Archive