Finding the Collineation Between two Projective Reconstructions [PDF]
International audienceThe problem of finding the collineation between two 3D projective reconstructions has been proved to be useful for a variety of tasks such as calibration of a stereo rig and 3D affine and/or Euclidean reconstruction.
Demirdjian, David +2 more
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On collineation groups with block orbits [PDF]
Let G be a point-transitive collineation group of an affine plane of order n. In his book M. J. Kallaher conjectured that if GO has a block orbit of degree at least 2 for some affine point O then G contains a group of translations of order n2.
Hiramine, Yutaka
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Translation planes of even order in which the dimension has only one odd factor
Let G be an irreducible subgroup of the linear translation complement of a finite translation plane of order qd where q is a power of 2. GF(q) is in the kernel and d=2sr where r is an odd prime. A prime factor of |G| must divide (qd+1)∏i=1d(qi−1).
T. G. Ostrom
doaj +1 more source
Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane
Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane} We investigate the hypotheses on a solvability of the full collineation group for non-Desarguesian semifield projective plane of a finite order (the question 11.76 in ...
O. V. Kravtsova
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Collineation groups of translation planes admitting hyperbolic Buekenhout or parabolic Buekenhout-Metz unitals [PDF]
Publicación ISIIt is shown that for every semifield spread in PG(3, q) and for every parabolic Buekenhout-Metz unital, there is a collineation group of the associated translation plane that acts transitively and regularly on the affine points of the ...
Johnson, Norman L. +4 more
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Programs used in the paper "Projective planes of order 12 do not have a collineation group of order 4" [PDF]
These files mainly contain programs used in the paper "Projective planes of order 12 do not have a collineation group of group of order 4" written by Kenzi Akiyama, Chihiro Suetake and Masaki ...
Masaki Tanaka +2 more
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Collineation groups of octonionic and split-octonionic planes [PDF]
We present a Veronese formulation of the octonionic and split-octonionic projective and hyperbolic planes. This formulation of the incidence planes highlights the relationship between the Veronese vectors and the rank-1 elements of the Albert algebras ...
Marrani A., Zucconi F., Corradetti D.
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Collineation groups of translation planes of small dimension
A subgroup of the linear translation complement of a translation plane is geometrically irreducible if it has no invariant lines or subplanes. A similar definition can be given for geometrically primitive.
T. G. Ostrom
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Multistable Soft Robots Assembled from Bistable Auxetic Building Blocks
Bistable and multistable structures offer solutions for enhancing shape retention and load capacity in soft robots. This study presents a multistable soft robot design using bistable auxetic building blocks. Illustrated through a manipulator with 216 discrete stable states and a tube‐crawling robot, the design demonstrates significant versatility and ...
Bojian Zhang +6 more
wiley +1 more source
GEOMETRIZATION OF A GENERAL COLLINEATION [PDF]
Geometrization of a general collineation means to express the collineation as necessary and sufficient conditions on the kinematic quantities (shear, vorticity, expansion) of the congruence of the vector field generating the collineation.
TSAMPARLIS, M
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