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Noncommutative geometry in physics: A point of view
Nuclear Physics B - Proceedings Supplements, 2002Abstract A non technical discussion of some aspects and uses of noncommutative geometry in physics, using the words Spectral Geometry, part of the title of the workshop, as a guide.
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Point-Free Geometry and Verisimilitude of Theories
Journal of Philosophical Logic, 2007A metric approach to Popper's verisimilitude question is proposed which is related to point-free geometry. Indeed, we define the theory of approximate metric spaces whose primitive notions are regions, inclusion relation, minimum distance, and maximum distance between regions.
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The American Mathematical Monthly, 1985
(1985). Geometry Without Points. The American Mathematical Monthly: Vol. 92, No. 10, pp. 707-711.
G. Gerla, R. Volpe
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(1985). Geometry Without Points. The American Mathematical Monthly: Vol. 92, No. 10, pp. 707-711.
G. Gerla, R. Volpe
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Journal of Geometry, 1997
The author continues his investigation in Geom. Dedicata 46, No. 1, 47-60 (1993; Zbl 0783.51002) of how geometries can be reconstructed from their automorphism groups. In the paper under review he considers incidence structures \((P,{\mathcal L})\) that admit sharply point transitive groups \(G\) of automorphisms. In this case, \(P\) is identified with
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The author continues his investigation in Geom. Dedicata 46, No. 1, 47-60 (1993; Zbl 0783.51002) of how geometries can be reconstructed from their automorphism groups. In the paper under review he considers incidence structures \((P,{\mathcal L})\) that admit sharply point transitive groups \(G\) of automorphisms. In this case, \(P\) is identified with
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2010
Point-line geometries are just rank two geometries, and so inherit the concepts of morphism and cover from the last chapter. The symmetry between the two types is broken by the concept of a subspace, which treats points differently from lines. A new graph, the point-collinearity graph, is useful in describing geometric properties.
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Point-line geometries are just rank two geometries, and so inherit the concepts of morphism and cover from the last chapter. The symmetry between the two types is broken by the concept of a subspace, which treats points differently from lines. A new graph, the point-collinearity graph, is useful in describing geometric properties.
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Smooth Morphing of Point-Sampled Geometry
2012Based on spherical parameterization, in this paper, we put forward a smooth morphing algorithm for point-sampled geometry (PSG). Source and target PSG are first parameterized onto a unit sphere, respectively. After aligning the feature point-pairs on the two unit spheres, they are merged into a single sphere and based on it, the correspondence relation
Renfang Wang, Changwei Zhang, Jie Hu
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Lossy Point Cloud Geometry Compression via End-to-End Learning
IEEE Transactions on Circuits and Systems for Video Technology, 2021Jianqiang Wang, Hao Zhu, Haojie Liu
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Lossy Point Cloud Geometry Compression via Region-Wise Processing
IEEE Transactions on Circuits and Systems for Video Technology, 2021Wenjie Zhu, Yiling Xu, Dandan Ding
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Steganography on point-sampled geometry
Computers & Graphics, 2006Chung-Ming Wang, Peng-Cheng Wang
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PU-Dense: Sparse Tensor-Based Point Cloud Geometry Upsampling
IEEE Transactions on Image Processing, 2022Anique Akhtar +2 more
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