Results 11 to 20 of about 5,232,012 (321)
Projective geometry of Wachspress coordinates [PDF]
Foundations 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. This generalizes the construction of the adjoint curve of a polygon by Wachspress in 1975.
Kohn, Kathlén, Ranestad, Kristian
core +4 more sources
Traditional Houses and Projective Geometry: Building Numbers and Projective Coordinates
Journal of Applied Mathematics, 2021 The natural mathematical abilities of humans have advanced civilizations. These abilities have been demonstrated in cultural heritage, especially traditional houses, which display evidence of an intuitive mathematics ability. Tribes around the world have
Wen-Haw Chen, Ja’faruddin
doaj +2 more sources
Generalizing Spatial Transformers to Projective Geometry with Applications to 2D/3D Registration. [PDF]
Med 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 connections in projective differential geometry [PDF]
, 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 +3 more sources
A Projective-Geometry-Aware Network for 3D Vertebra Localization in Calibrated Biplanar X-Ray Images [PDF]
SensorsCurrent 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
Metric projective geometry, BGG detour complexes and partially massless gauge theories [PDF]
, 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.
Gover, A. R., Latini, E., Waldron, A.
core +5 more sources
New quantum LDPC codes based on projective geometry [PDF]
Scientific ReportsWith 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
On geometry of orbits of adapted projective frame space
Дифференциальная геометрия многообразий фигур, 2019 The current paper continues consideration of geometry of projective frame orbits started in the author’s article in the previous issue. The n-dimensional projective space with a distinguished point (the center) is considered.
A. Kuleshov
doaj +2 more sources
Private Frequency Estimation via Projective Geometry [PDF]
International Conference on Machine Learning, 2022 In this work, we propose a new algorithm ProjectiveGeometryResponse (PGR) for locally differentially private (LDP) frequency estimation. For a universe size of $k$ and with $n$ users, our $\varepsilon$-LDP algorithm has communication cost $\lceil\log_2k ...
V. Feldman +3 more
semanticscholar +1 more source