Results 31 to 40 of about 118,048 (162)

Projective geometry of Wachspress coordinates

open access: yes, 2019
We show that there is a unique hypersurface of minimal degree passing through the non-faces of a polytope which is defined by a simple hyperplane arrangement. This generalizes the construction of the adjoint curve of a polygon by Wachspress in 1975.
Kohn, Kathlén, Ranestad, Kristian
core   +1 more source

Projective geometry and spatial reasoning for STEM learning

open access: yesFrontiers in Education
Projective geometry is a prominent area in many fields including art, design, architecture, and mathematics, but how it can contribute to children’s spatial reasoning as well as a supplementary geometry to that of Euclid’s in school mathematics curricula
Jennifer S. Thom   +3 more
doaj   +1 more source

Bundles over Quantum RealWeighted Projective Spaces

open access: yesAxioms, 2012
The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed. Principal U(1)-bundles over quantum real weighted projective spaces are constructed.
Tomasz Brzeziński, Simon A. Fairfax
doaj   +1 more source

Features of the geometry of the five-dimensional pseudo-Euclidean space of index two [PDF]

open access: yesE3S Web of Conferences
The article is devoted to the study of the geometry of subspaces of a five-dimensional pseudo-Euclidean space. This space is attractive because all kinds of semi-Euclidean, semi-pseudo-Euclidean, hyperbolic three-dimensional spaces with projective ...
Artikbaev A., Mamadaliyev B.M.
doaj   +1 more source

Projective Texturing Uncertain Geometry: silhouette-aware box-filtered blending using integral radial images [PDF]

open access: yesISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2014
Projective texturing is a commonly used image based rendering technique that enables the synthesis of novel views from the blended reprojection of nearby views on a coarse geometry proxy approximating the scene.
M. Brédif
doaj   +1 more source

Clifford algebra and the projective model of homogeneous metric spaces: Foundations [PDF]

open access: yes, 2013
This paper is to serve as a key to the projective (homogeneous) model developed by Charles Gunn (arXiv:1101.4542 [math.MG]). The goal is to explain the underlying concepts in a simple language and give plenty of examples. It is targeted to physicists and
Sokolov, Andrey
core  

Harmonic maps in unfashionable geometries

open access: yes, 2001
We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in both Lie sphere and projective differential geometry.
Burstall, F. E., Hertrich-Jeromin, U.
core   +1 more source

Non-Projected Supermanifolds and Embeddings in Super Grassmannians

open access: yesUniverse, 2018
In this paper we give a brief account of the relations between non-projected supermanifolds and projectivity in supergeometry. Following the general results (L.
Simone Noja
doaj   +1 more source

Metric connections in projective differential geometry

open access: yes, 2008
We search for Riemannian metrics whose Levi-Civita connection belongs to a given projective class. Following Sinjukov and Mikes, we show that such metrics correspond precisely to suitably positive solutions of a certain projectively invariant finite-type
A.R. Gover   +6 more
core   +2 more sources

Contact Projective Structures

open access: yes, 2005
A contact projective structure is a contact path geometry the paths of which are among the geodesics of some affine connection. In the manner of T.Y.
Fox, Daniel J. F.
core   +1 more source

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