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A Survey of 3D Reconstruction: The Evolution from Multi-View Geometry to NeRF and 3DGS. [PDF]
Liu S, Yang M, Xing T, Yang R.
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The geometry of discrete asymptotic-geodesic 4-webs in isotropic 3-space. [PDF]
Müller C, Pottmann H.
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BirdNeRF: fast neural reconstruction of large-scale scenes from aerial imagery. [PDF]
Zhang H, Xue Y, Liao M, Lao Y.
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Catadioptric Projective Geometry
International Journal of Computer Vision, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geyer, Christopher, Daniilidis, Kostas
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A Problem in Projective Geometry
The Mathematical Gazette, 1960The theorem to be discussed in this note depends only on the plane incidence axioms (with Desargues), the Pappus axiom, and the property that a point and its harmonic conjugate are in general distinct. When algebra is applied to the geometry it may be taken over any commutative field of characteristic other than 2.
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Correspondences in Projective Geometry
The Mathematical Gazette, 1939A familiar method of proving theorems in elementary projective geometry is to establish by a geometrical construction the existence of a (1, 1) correspondence between the elements of two simply infinite rational systems (such as ranges of points, or pencils of lines) and to conclude that such a correspondence is projective and to use this result to ...
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Canadian Journal of Mathematics, 1952
James Singer [12] has shown that there exists a collineation which is transitive on the (t - 1)-spaces, that is, (t - 1)-dimensional linear subspaces, of PG(t, pn). In this paper we shall generalize this result showing that there exist t - r collineations which together are transitive on the s-spaces of PG(t, pn). An explicit construction will be given
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James Singer [12] has shown that there exists a collineation which is transitive on the (t - 1)-spaces, that is, (t - 1)-dimensional linear subspaces, of PG(t, pn). In this paper we shall generalize this result showing that there exist t - r collineations which together are transitive on the s-spaces of PG(t, pn). An explicit construction will be given
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Projective Geometries as Multigroups
American Journal of Mathematics, 1943Not ...
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