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EPIPOLAR GEOMETRY BETWEEN PHOTOGRAMMETRY AND COMPUTER VISION – A COMPUTATIONAL GUIDE [PDF]

open access: yesISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2022
Stereo image orientation is one of the major topics in computer vision, photogrammetry, and robotics. The stereo vision problem solution represents the basic element of the multi-view Structure from Motion SfM in computer vision and photogrammetry.A ...
B. Alsadik, N. A. Abdulateef
doaj   +1 more source

Applications of a Particular Four-Dimensional Projective Geometry to Galactic Dynamics

open access: yesGalaxies, 2018
Relativistic location systems that extend relativistic positioning systems show that pseudo-Riemannian space-time geometry is somehow encompassed in a particular four-dimensional projective geometry.
Jacques L. Rubin
doaj   +1 more source

Projective Geometry [PDF]

open access: yesThe Mathematical Gazette, 1904
Projective geometry derives both interest and importance from the fact that it assumes only the simplest and most fundamental axioms. The following sketch of the first principles, and proof of the fundamental theorem, is taken from Prof. Federigo Enriques' Projektive Geometrie (B. G. Teubner, Leipzig, 1903, 8vo, pp. xiv, 374).
openaire   +2 more sources

Einstein on involutions in projective geometry [PDF]

open access: yesArchive for History of Exact Sciences, 2021
AbstractWe discuss Einstein’s knowledge of projective geometry. We show that two pages of Einstein’s Scratch Notebook from around 1912 with geometrical sketches can directly be associated with similar sketches in manuscript pages dating from his Princeton years.
Tilman Sauer, Tobias Schütz
openaire   +4 more sources

On the continuity of Weil-Petersson volumes of the moduli space weighted points on the projective line

open access: yesComplex Manifolds, 2022
In this work we show that the Weil-Petersson volume (which coincides with the CM degree) in the case of weighted points in the projective line is continuous when approaching the Calabi-Yau geometry from the Fano geometry. More specifically, the CM volume
Tambasco Salvatore
doaj   +1 more source

THE ROLE OF PROJECTIVE GEOMETRY IN TALIAN EDUCATION AND INSTITUTIONS AT THE END OF THE 19TH CENTURY

open access: yesRevista de História da Educação Matemática, 2023
At the end of the 19th century, projective geometry was at the basis of most geometric research in Italy, and of much other research work in Europe. Furthermore, through its close connection with descriptive geometry, it seemed particularly responsive to
Marta Menghini
doaj  

Graph decompositions in projective geometries [PDF]

open access: yesJournal of Combinatorial Designs, 2020
AbstractLet PG be the ‐dimensional projective space over and let be a simple graph of order for some . A design over is a collection of graphs (blocks) isomorphic to with the following properties: the vertex set of every block is a subspace of PG; every two distinct points of PG are adjacent in exactly blocks.
Marco Buratti   +2 more
openaire   +3 more sources

Non-Euclidean Biosymmetries and Algebraic Harmony in Genomes of Higher and Lower Organisms [PDF]

open access: yesEPJ Web of Conferences, 2021
The article is devoted to the study of the relationship of non-Euclidean symmetries in inherited biostructures with algebraic features of information nucleotide sequences in DNA molecules in the genomes of eukaryotes and prokaryotes.
Petoukhov Sergey   +2 more
doaj   +1 more source

One dimensional metrical geometry [PDF]

open access: yes, 2007
One dimensional metrical geometry may be developed in either an affine or projective setting over a general field using only algebraic ideas and quadratic forms.
Wildberger, N J
core   +2 more sources

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