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Projective Geometry of Wachspress Coordinates [PDF]
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]
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
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Metric Projective Geometry, BGG Detour Complexes and Partially Massless Gauge Theories [PDF]
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]
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
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Projective differential geometry of curved surfaces [PDF]
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
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New quantum LDPC codes based on projective geometry [PDF]
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
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Einstein metrics in projective geometry
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]
: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
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Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry [PDF]
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
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THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW [PDF]
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
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