The geometry of rational parameterized representations |
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| Authors: | Hans-Peter Schröcker |
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| Institution: | 1. Institut für Technische Mathematik, Geometrie und Bauinformatik, Universit?t Innsbruck, Technikerstra?e 13, 6020, Innsbruck, Austria
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| Abstract: | We study the projective space
of univariate rational parameterized equations of degree d or less in real projective space
The parameterized equations of degree less than d form a special algebraic variety
We investigate the subspaces on
and their relation to rational curves in
give a geometric characterization of the automorphism group of
and outline applications of the theory to projective kinematics. |
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| Keywords: | 14Q05 51N25 |
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