Relevant bibliographies by topics / Beltrami's representation

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Academic literature on the topic 'Beltrami's representation'

Author: Grafiati
Published: 28 July 2022
Last updated: 8 August 2022

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Journal articles on the topic "Beltrami's representation"

1

Lau, Chun Pong, Chun Pang Yung, and Lok Ming Lui. "Image Retargeting via Beltrami Representation." IEEE Transactions on Image Processing 27, no. 12 (2018): 5787–801. http://dx.doi.org/10.1109/tip.2018.2858146.

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2

Belkin, Mikhail, and Partha Niyogi. "Laplacian Eigenmaps for Dimensionality Reduction and Data Representation." Neural Computation 15, no. 6 (2003): 1373–96. http://dx.doi.org/10.1162/089976603321780317.

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One of the central problems in machine learning and pattern recognition is to develop appropriate representations for complex data. We consider the problem of constructing a representation for data lying on a low-dimensional manifold embedded in a high-dimensional space. Drawing on the correspondence between the graph Laplacian, the Laplace Beltrami operator on the manifold, and the connections to the heat equation, we propose a geometrically motivated algorithm for representing the high-dimensional data. The algorithm provides a computationally efficient approach to nonlinear dimensionality reduction that has locality-preserving properties and a natural connection to clustering. Some potential applications and illustrative examples are discussed.
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3

Sato, N., and M. Yamada. "Local representation and construction of Beltrami fields." Physica D: Nonlinear Phenomena 391 (April 2019): 8–16. http://dx.doi.org/10.1016/j.physd.2019.02.003.

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4

Lam, Ka Chun, Tsz Ching Ng, and Lok Ming Lui. "Multiscale Representation of Deformation via Beltrami Coefficients." Multiscale Modeling & Simulation 15, no. 2 (2017): 864–91. http://dx.doi.org/10.1137/16m1056614.

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5

Alonso-Orán, Diego, Antonio Córdoba, and Ángel D. Martínez. "Integral representation for fractional Laplace–Beltrami operators." Advances in Mathematics 328 (April 2018): 436–45. http://dx.doi.org/10.1016/j.aim.2018.01.014.

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6

Lui, Lok Ming, Ka Chun Lam, Tsz Wai Wong, and Xianfeng Gu. "Texture Map and Video Compression Using Beltrami Representation." SIAM Journal on Imaging Sciences 6, no. 4 (2013): 1880–902. http://dx.doi.org/10.1137/120866129.

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7

OLIVIER, D., and G. VALENT. "MULTIPLICATIVE RENORMALIZABILITY AND THE LAPLACE-BELTRAMI OPERATOR." International Journal of Modern Physics A 06, no. 06 (1991): 955–76. http://dx.doi.org/10.1142/s0217751x91000526.

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For some rank 1 non-linear σ models we prove that a necessary and sufficient condition of multiplicative renormalizability for composite fields is that they should be eigenfunctions of the coset Laplace-Beltrami operator. These eigenfunctions span the irreducible representation space of the isometry group and may be finite- or infinite-dimensional. The zero mode of the Laplace-Beltrami operator plays a particular role since it is not renormalized at all.
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8

Sato, N., and M. Yamada. "Local representation and construction of Beltrami fields II.solenoidal Beltrami fields and ideal MHD equilibria." Physica D: Nonlinear Phenomena 400 (December 2019): 132142. http://dx.doi.org/10.1016/j.physd.2019.06.008.

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9

Chan, Hei-Long, Shi Yan, Lok-Ming Lui, and Xue-Cheng Tai. "Topology-Preserving Image Segmentation by Beltrami Representation of Shapes." Journal of Mathematical Imaging and Vision 60, no. 3 (2017): 401–21. http://dx.doi.org/10.1007/s10851-017-0767-8.

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10

Barletta, Elisabetta, Sorin Dragomir, and Francesco Esposito. "Beltrami Equations on Rossi Spheres." Mathematics 10, no. 3 (2022): 371. http://dx.doi.org/10.3390/math10030371.

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Beltrami equations L¯t(g)=μ(·,t)Lt(g) on S3 (where Lt, |t|<1, are the Rossi operators i.e., Lt spans the globally nonembeddable CR structure H(t) on S3 discovered by H. Rossi) are derived such that to describe quasiconformal mappings f:S3→N⊂C2 from the Rossi sphere S3,H(t). Using the Greiner–Kohn–Stein solution to the Lewy equation and the Bargmann representations of the Heisenberg group, we solve the Beltrami equations for Sobolev-type solutions gt such that gt−v∈WF1,2S3,θ with v∈CR∞S3,H(0).
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