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Projective Geometry of Wachspress Coordinates [PDF]

open access: yesFoundations of Computational Mathematics, 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.
Kathlén Kohn, K. Ranestad
semanticscholar   +8 more sources

Generalizing Spatial Transformers to Projective Geometry with Applications to 2D/3D Registration. [PDF]

open access: yesMed Image Comput Comput Assist Interv, 2020
Differentiable rendering is a technique to connect 3D scenes with corresponding 2D images. Since it is differentiable, processes during image formation can be learned. Previous approaches to differentiable rendering focus on mesh-based representations of
Gao C   +6 more
europepmc   +2 more sources

Metric Projective Geometry, BGG Detour Complexes and Partially Massless Gauge Theories [PDF]

open access: yes, 2014
A projective geometry is an equivalence class of torsion free connections sharing the same unparametrised geodesics; this is a basic structure for understanding physical systems.
A. R. Gover, E. Latini, A. Waldron
semanticscholar   +6 more sources

A Projective-Geometry-Aware Network for 3D Vertebra Localization in Calibrated Biplanar X-Ray Images [PDF]

open access: yesSensors
Current Deep Learning (DL)-based methods for vertebra localization in biplanar X-ray images mainly focus on two-dimensional (2D) information and neglect the projective geometry, limiting the accuracy of 3D navigation in X-ray-guided spine surgery.
Kangqing Ye   +3 more
doaj   +2 more sources

Projective differential geometry of curved surfaces [PDF]

open access: bronze, 1907
The theory of surfaces, as developed by the author in the preceding three memoirs, was based upon the assumption that the surface considered was referred to its asymptotic curves.
E. J. Wilczynski
openalex   +2 more sources

New quantum LDPC codes based on projective geometry [PDF]

open access: yesScientific Reports
With the progress in techniques for correcting errors in quantum computing, quantum low density parity check (QLDPC) codes have gained increasing significance within the field of quantum error correction.
Chuchen Tang   +2 more
doaj   +2 more sources

Einstein metrics in projective geometry

open access: yesGeometriae Dedicata, 2012
It is well known that pseudo–Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a certain overdetermined projectively invariant differential equation.
A. Čap   +3 more
semanticscholar   +5 more sources

Intuitionistic fuzzy projective geometry [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2009
:In this paper , we introduce a new model of intuitionistic fuzzy projective geometry . In this model points and lines play a similar role , like they do in classical projective plane .
Ghassan E. Arif
doaj   +1 more source

Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry [PDF]

open access: yesClassical and quantum gravity, 2019
We show that the Lorentzian Snyder models, together with their Galilei and Carroll limiting cases, can be rigorously constructed through the projective geometry description of Lorentzian, Galilean and Carrollian spaces with nonvanishing constant ...
Á. Ballesteros   +2 more
semanticscholar   +1 more source

THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017
Throughout history the link between geometry and architecture has been strong and while architects have used mathematics to construct their buildings, geometry has always been the essential tool allowing them to choose spatial shapes which are ...
T. Bellone, F. Fiermonte, L. Mussio
doaj   +1 more source

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