منابع مشابه
Point Configurations and Cayley-Menger Varieties
Equivalence classes of n-point configurations in Euclidean, Hermitian, and quaternionic spaces are related, respectively, to classical determinantal varieties of symmetric, general, and skew-symmetric bilinear forms. Cayley-Menger varieties arise in the Euclidean case, and have relevance for mechanical linkages, polygon spaces and rigidity theory. Applications include upper bounds for realizati...
متن کاملCausal association of electromagnetic signals using the Cayley–Menger determinant
determinant Samuel Picton Drake, Brian D. O. Anderson, and Changbin Yu Defence Science and Technology Organisation, Edinburgh, South Australia 5111, Australia and School of Chemistry and Physics, The University of Adelaide, Adelaide, South Australia 5005, Australia Research School of Information Sciences and Engineering, Australian National University, Canberra, Australian Capital Territory 020...
متن کاملGeneralized Cayley-chow Coordinates and Computer Vision
A fundamental problem in computer vision is to reconstruct the configuration of a collection of cameras from the images they have taken of a common subject. If we model a camera as a linear projection from projective 3-space to the projective plane, this problem can be rephrased algebrogeometrically in terms of recovering a subvariety of a product of projective planes. Both the equations defini...
متن کاملHelmer Aslaksen Restricted Homogeneous Coordinates for the Cayley Projective Plane
I. Porteous has shown that the Cayley projective plane can be coordinatized in a way resembling homogeneous coordinates. We will show how to construct line coordinates in a similar way. As an illustration, we give an explicit example to show that the Cayley projective plane is not Desarguean.
متن کاملLeast Square for Grassmann-Cayley Agelbra in Homogeneous Coordinates
This paper presents some tools for least square computation in Grassmann-Cayley algebra, more specifically for elements expressed in homogeneous coordinates. We show that building objects with the outer product from k-vectors of same grade presents some properties that can be expressed in term of linear algebra and can be treated as a least square problem. This paper mainly focuses on line and ...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1986
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.83.8.2283