Matrices and Homogeneous Coordinates

Christopher Baltus ()
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Christopher Baltus: State University of New York at Oswego, Department of Mathematics

Chapter Chapter 13 in Collineations and Conic Sections, 2020, pp 157-165 from Springer

Abstract: Abstract As shown in Chap. 1 , we can define the real projective plane as a set of ordered triples in a way that points at infinity are included. Further, a collineation ϕ can be defined by matrix multiplication: ϕ ( x → ) = M x → $$\phi (\vec {x})= M \vec {x} $$ where M is a 3-by-3 non-singular matrix and x → $$\vec {x}$$ is an ordered triple. (A 3-by-3 matrix is non-singular when its determinant is not zero.)

Date: 2020
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DOI: 10.1007/978-3-030-46287-1_13

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