Results 1 to 10 of about 1,470,168 (332)
The geometry of determinant line bundles in noncommutative geometry [PDF]
Journal of Noncommutative Geometry, 2009 This article is concerned with the study of the geometry of determinant line bundles associated to families of spectral triples parametrized by the moduli space of gauge equivalence classes of Hermitian connections on a Hermitian finite projective module. We illustrate our results with some examples that arise in noncommutative geometry.
Chakraborty, P., Varghese, M.
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Line Geometry and Camera Autocalibration [PDF]
Journal of Mathematical Imaging and Vision, 2008 We provide a completely new rigorous matrix formulation of the absolute quadratic complex (AQC), given by the set of lines intersecting the absolute conic. The new results include closed-form expressions for the camera intrinsic parameters in terms of the AQC, an algorithm to obtain the dual absolute quadric from the AQC using straightforward matrix ...
Ronda Prieto, José Ignacio +2 more
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Geometry on the lines of spine spaces [PDF]
Aequationes mathematicae, 2017 Spine spaces can be considered as fragments of a projective Grassmann space. We prove that the structure of lines together with binary coplanarity relation, as well as with binary relation of being in one pencil of lines, is a sufficient system of primitive notions for these geometries. It is also shown that, over a spine space, the geometry of pencils
Mariusz Żynel, Krzysztof Petelczyc
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Geometry of Lines on a Cubic Four-Fold
International Mathematics Research Notices, 2023 Abstract For a general cubic four-fold $X\subset {\mathbb {P}}^5$ with Fano scheme of lines $F$, we prove a number of properties of the universal family of lines $I\to F$ and various subloci. We first describe the moduli and ramification theory of the genus four fibration $p:I\to X$ and explore its relation to a birational model of $F ...
Gounelas, Frank, Kouvidakis, Alexis
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On transparent embeddings of point-line geometries [PDF]
Journal of Combinatorial Theory, Series A, 2018 We introduce the class of transparent embeddings for a point-line geometry $ = ({\mathcal P},{\mathcal L})$ as the class of full projective embeddings $\varepsilon$ of $ $ such that the preimage of any projective line fully contained in $\varepsilon({\mathcal P})$ is a line of $ $.
Cardinali, Ilaria +2 more
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Epipolar geometry based on line similarity [PDF]
2016 23rd International Conference on Pattern Recognition (ICPR), 2016 ICPR 2016, Cancun, Dec ...
Shmuel Peleg +3 more
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Integral geometry of pairs of hyperplanes or lines
Archiv der Mathematik, 2020 AbstractCrofton’s formula of integral geometry evaluates the total motion invariant measure of the set of k-dimensional planes having nonempty intersection with a given convex body. This note deals with motion invariant measures on sets of pairs of hyperplanes or lines meeting a convex body. Particularly simple results are obtained if, and only if, the
Hug, Daniel, Schneider, Rolf
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On line bundles in derived algebraic geometry [PDF]
Annals of K-Theory, 2020 9 pages, comments ...
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On-Line Reconstruction of CAD Geometry [PDF]
2013 International Conference on 3D Vision, 2013 In reverse engineering and computer-aided design (CAD) applications point cloud data is usually manually scanned, reconstructed, and post-processed in separated steps. When point cloud data resulting from a scanning process do not satisfy certain necessary reconstruction requirements, one must perform scanning again to enable proper reconstruction.
Daniel Hagel +4 more
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The conic geometry of rectangles inscribed in lines [PDF]
Proceedings of the American Mathematical Society, 2021 Final version. To appear in Proc.
Bruce Olberding, Elaine A. Walker
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