Log in

Relevant bibliographies by topics / Beltrami's representation / Journal articles

To see the other types of publications on this topic, follow the link: Beltrami's representation.

Journal articles on the topic 'Beltrami's representation'

Author: Grafiati

Published: 28 July 2022

Last updated: 8 August 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 36 journal articles for your research on the topic 'Beltrami's representation.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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 r

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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).

APA, Harvard, Vancouver, ISO, and other styles

11

Yamaleev, Robert M. "Coulomb Potential as Metrics of Hyperbolic Space." International Journal of Emerging Technology and Advanced Engineering 10, no. 10 (2020): 6–8. http://dx.doi.org/10.46338/ijetae1020_02.

Full text

Abstract:

Representation of the Coulomb field as a metrics of the hyperbolic space within the Beltrami- Poincare model of hyperbolic geometry is done. In order to connect the potential of the electric field with the length of a geodesic line a new characteristics of the Coulomb field, the entropy, is introduced.

APA, Harvard, Vancouver, ISO, and other styles

12

Barabanov, Nikita E., and Abraham A. Ungar. "Differential Geometry and Binary Operations." Symmetry 12, no. 9 (2020): 1525. http://dx.doi.org/10.3390/sym12091525.

Full text

Abstract:

We derive a large set of binary operations that are algebraically isomorphic to the binary operation of the Beltrami–Klein ball model of hyperbolic geometry, known as the Einstein addition. We prove that each of these operations gives rise to a gyrocommutative gyrogroup isomorphic to Einstein gyrogroup, and satisfies a number of nice properties of the Einstein addition. We also prove that a set of cogyrolines for the Einstein addition is the same as a set of gyrolines of another binary operation. This operation is found directly and it turns out to be commutative. The same results are obtained

APA, Harvard, Vancouver, ISO, and other styles

13

Mackay, Tom G., and Akhlesh Lakhtakia. "On electromagnetics of an isotropic chiral medium moving at constant velocity." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2078 (2006): 397–418. http://dx.doi.org/10.1098/rspa.2006.1770.

Full text

Abstract:

A medium which is an isotropic chiral medium from the perspective of a co-moving observer is a Faraday chiral medium (FCM) from the perspective of a non-co-moving observer. The Tellegen constitutive relations for this FCM are established. By an extension of the Beltrami field concept, these constitutive relations are exploited to show that plane wave propagation is characterized by four generally independent wavenumbers. This FCM can support negative phase velocity at certain translational velocities and with certain wavevectors, even though the corresponding isotropic chiral medium does not.

APA, Harvard, Vancouver, ISO, and other styles

14

Balmaseda, Aitor, Fabio Di Cosmo, and Juan Manuel Pérez-Pardo. "On Z -Invariant Self-Adjoint Extensions of the Laplacian on Quantum Circuits." Symmetry 11, no. 8 (2019): 1047. http://dx.doi.org/10.3390/sym11081047.

Full text

Abstract:

An analysis of the invariance properties of self-adjoint extensions of symmetric operators under the action of a group of symmetries is presented. For a given group G, criteria for the existence of G-invariant self-adjoint extensions of the Laplace–Beltrami operator over a Riemannian manifold are illustrated and critically revisited. These criteria are employed for characterising self-adjoint extensions of the Laplace–Beltrami operator on an infinite set of intervals, Ω , constituting a quantum circuit, which are invariant under a given action of the group Z . A study of the different unitary

APA, Harvard, Vancouver, ISO, and other styles

15

Bojarski, B., V. Gutlyanskii, and V. Ryazanov. "On existence and representation of solutions for general degenerate Beltrami equations." Complex Variables and Elliptic Equations 59, no. 1 (2013): 67–75. http://dx.doi.org/10.1080/17476933.2013.795955.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Radnell, David, Eric Schippers, and Wolfgang Staubach. "Convergence of the Weil–Petersson metric on the Teichmüller space of bordered Riemann surfaces." Communications in Contemporary Mathematics 19, no. 01 (2016): 1650025. http://dx.doi.org/10.1142/s0219199716500255.

Full text

Abstract:

Consider a Riemann surface of genus [Formula: see text] bordered by [Formula: see text] curves homeomorphic to the unit circle, and assume that [Formula: see text]. For such bordered Riemann surfaces, the authors have previously defined a Teichmüller space which is a Hilbert manifold and which is holomorphically included in the standard Teichmüller space. We show that any tangent vector can be represented as the derivative of a holomorphic curve whose representative Beltrami differentials are simultaneously in [Formula: see text] and [Formula: see text], and furthermore that the space of [Form

APA, Harvard, Vancouver, ISO, and other styles

17

Katz, D. B., and B. A. Kats. "Integral Representations for Solutions of Some Types of the Beltrami Equations." Russian Mathematics 62, no. 3 (2018): 18–22. http://dx.doi.org/10.3103/s1066369x18030039.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Alsnayyan, A. M. A., and B. Shanker. "Laplace-Beltrami based multi-resolution shape reconstruction on subdivision surfaces." Journal of the Acoustical Society of America 151, no. 3 (2022): 2207–22. http://dx.doi.org/10.1121/10.0009851.

Full text

Abstract:

The eigenfunctions of the Laplace-Beltrami operator have widespread applications in a number of disciplines of engineering, computer vision/graphics, machine learning, etc. These eigenfunctions or manifold harmonics (MHs) provide the means to smoothly interpolate data on a manifold and are highly effective, specifically as it relates to geometry representation and editing; MHs form a natural basis for multi-resolution representation (and editing) of complex surfaces and functions defined therein. In this paper, we seek to develop the framework to exploit the benefits of MHs for shape reconstru

APA, Harvard, Vancouver, ISO, and other styles

19

Green, Christopher C., and Jonathan S. Marshall. "Green's function for the Laplace–Beltrami operator on a toroidal surface." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2149 (2013): 20120479. http://dx.doi.org/10.1098/rspa.2012.0479.

Full text

Abstract:

Green's function for the Laplace–Beltrami operator on the surface of a three-dimensional ring torus is constructed. An integral ingredient of our approach is the stereographic projection of the torus surface onto a planar annulus. Our representation for Green's function is written in terms of the Schottky–Klein prime function associated with the annulus and the dilogarithm function. We also consider an application of our results to vortex dynamics on the surface of a torus.

APA, Harvard, Vancouver, ISO, and other styles

20

Barabanov, Nikita E. "Isomorphism of Binary Operations in Differential Geometry." Symmetry 12, no. 10 (2020): 1634. http://dx.doi.org/10.3390/sym12101634.

Full text

Abstract:

We consider smooth binary operations invariant with respect to unitary transformations that generalize the operations of the Beltrami–Klein and Beltrami–Poincare ball models of hyperbolic geometry, known as Einstein addition and Möbius addition. It is shown that all such operations may be recovered from associated metric tensors that have a canonical form. Necessary and sufficient conditions for canonical metric tensors to generate binary operations are found. A definition of algebraic isomorphism of binary operations is given. Necessary and sufficient conditions for binary operations to be is

APA, Harvard, Vancouver, ISO, and other styles

21

Şeremet, Victor. "New Thermoelastic Green’s Functions by Using a New Integral Representation of Beltrami–Michel Equations." Journal of Engineering Mechanics 141, no. 11 (2015): 04015044. http://dx.doi.org/10.1061/(asce)em.1943-7889.0000940.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Admal, Nikhil Chandra, and E. B. Tadmor. "The non-uniqueness of the atomistic stress tensor and its relationship to the generalized Beltrami representation." Journal of the Mechanics and Physics of Solids 93 (August 2016): 72–92. http://dx.doi.org/10.1016/j.jmps.2016.03.016.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Klimentov, S. B. "Representations of the “second kind” for the hardy classes of solutions to the Beltrami equation." Siberian Mathematical Journal 55, no. 2 (2014): 262–75. http://dx.doi.org/10.1134/s0037446614020098.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Majdalani, Joseph. "On the generalized Beltramian motion of the bidirectional vortex in a conical cyclone." Physics of Fluids 34, no. 3 (2022): 036604. http://dx.doi.org/10.1063/5.0083740.

Full text

Abstract:

This work presents an exact solution of Euler's incompressible equations in the context of a bidirectional vortex evolving inside a conically shaped cyclonic chamber. The corresponding helical flowfield is modeled under inviscid conditions assuming constant angular momentum. By leveraging the axisymmetric nature of the problem, a steady-state solution of the generalized Beltramian type is obtained directly from first principles, namely, from the Bragg–Hawthorne equation in spherical coordinates. The resulting stream function representation enables us to fully describe the ensuing swirl-dominat

APA, Harvard, Vancouver, ISO, and other styles

25

Friedman, Michael. "Paper, Plaster, Strings: Exploratory Material Mathematical Models between the 1860s and 1930s." Perspectives on Science 29, no. 4 (2021): 436–67. http://dx.doi.org/10.1162/posc_a_00378.

Full text

Abstract:

Abstract Does the materiality of a three-dimensional model have an effect on how this model operates in an exploratory way, how it prompts discovery of new mathematical results? Material mathematical models were produced and used during the second half of the nineteenth century, visualizing mathematical objects, such as curves and surfaces—and these were produced from a variety of materials: paper, cardboard, plaster, strings, wood. However, the question, whether their materiality influenced the status of these models—considered as exploratory, technical, or representational—was hardly touched

APA, Harvard, Vancouver, ISO, and other styles

26

Akhmed-Zaki, D. Zh, O. N. Turar, and D. V. Lebedev. "FRAGMENTED ALGORITHM FOR ADAPTED GRID CONSTRUCTION." BULLETIN Series of Physics & Mathematical Sciences 71, no. 3 (2020): 37–44. http://dx.doi.org/10.51889/2020-3.1728-7901.05.

Full text

Abstract:

The paper describes the use of a computational fragments management automation system called LuNA (Language for Numerical Algorithms) for a fragmented solution for the problem of constructing an adaptive structured grid. The main idea behind LuNA is to use a high-level representation of an application's algorithm to enable it to automatically execute on hybrid node multicomputers without low-level programming by the researcher. The constructed computational grid structure is adapted to the values of the given function by solving the system of differential equations by the finite difference met

APA, Harvard, Vancouver, ISO, and other styles

27

Kartashov, E. M. "Model representations of heat shock in terms of dynamic thermal elasticity." Russian Technological Journal 8, no. 2 (2020): 85–108. http://dx.doi.org/10.32362/2500-316x-2020-8-2-85-108.

Full text

Abstract:

This article is devoted to mathematical models of thermal shock in terms of dynamic thermoelasticity and their application to the specific conditions of intensive heating and cooling of solids. A scheme is proposed for deriving the compatibility equation in voltages for dynamic problems, which generalizes the well-known Beltrami-Mitchell relation for quasistatic cases. The proposed relation can be used to consider numerous special cases in the theory of thermal shock in Cartesian coordinates for both bounded canonical bodies and partially bounded ones. As a detailed study, the latter case was

APA, Harvard, Vancouver, ISO, and other styles

28

Barber, Timothy A., and Joseph Majdalani. "On the Beltramian motion of the bidirectional vortex in a conical cyclone." Journal of Fluid Mechanics 828 (September 12, 2017): 708–32. http://dx.doi.org/10.1017/jfm.2017.494.

Full text

Abstract:

In this work, an exact Eulerian model is used to describe the steady-state motion of a bidirectional vortex in a conical chamber. This particular model is applicable to idealized representations of cyclone separators and liquid rocket engines with slowly expanding chamber cross-sections. The corresponding bulk motion is assumed to be non-reactive, rotational, inviscid and incompressible. Then, following Bloor & Ingham (J. Fluid Mech., vol. 178, 1987, pp. 507–519), the spherical Bragg–Hawthorne equation is used to construct a mathematical model that connects the solution to the swirl number

APA, Harvard, Vancouver, ISO, and other styles

29

Fisanov, V. V. "Representations of the Beltrami Fields in an Isotropic Chiral Medium with the Drude–Born–Fedorov Constitutive Relations." Russian Physics Journal 55, no. 9 (2013): 1022–27. http://dx.doi.org/10.1007/s11182-013-9916-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Tomek, Lukáš, and Karol Mikula. "Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature." ESAIM: Mathematical Modelling and Numerical Analysis 53, no. 6 (2019): 1797–840. http://dx.doi.org/10.1051/m2an/2019040.

Full text

Abstract:

We propose a new discrete duality finite volume method for solving mean curvature flow of surfaces in ℝ3. In the cotangent scheme, which is widely used discretization of Laplace–Beltrami operator, a two-dimensional surface is usually approximated by a triangular mesh. In the cotangent scheme the unknowns are the vertices of the triangulation. A finite volume around each vertex is constructed as a surface patch bounded by a piecewise linear curve with nodes in the midpoints of the neighbouring edges and a representative point of each adjacent triangle. The basic idea of our new approach is to i

APA, Harvard, Vancouver, ISO, and other styles

31

Zhang, Dan, and Kang Wang. "A Synthetic Feature Skull Descriptor for 3D Skull Similarity Measurement." Mathematical Problems in Engineering 2019 (November 30, 2019): 1–12. http://dx.doi.org/10.1155/2019/8083504.

Full text

Abstract:

3D skull similarity measurement is a challenging and meaningful task in the fields of archaeology, forensic science, and anthropology. However, it is difficult to correctly and directly measure the similarity between 3D skulls which are geometric models with multiple border holes and complex topologies. In this paper, based on the synthetic feature method, we propose a novel 3D skull descriptor, synthetic wave kernel distance distribution (SWKDD) constructed by the laplace–beltrami operator. By defining SWKDD, we obtain a concise global skull representation method and transform the complex 3D

APA, Harvard, Vancouver, ISO, and other styles

32

Bashiri, Fereshteh S., Reihaneh Rostami, Peggy Peissig, Roshan M. D’Souza, and Zeyun Yu. "An Application of Manifold Learning in Global Shape Descriptors." Algorithms 12, no. 8 (2019): 171. http://dx.doi.org/10.3390/a12080171.

Full text

Abstract:

With the rapid expansion of applied 3D computational vision, shape descriptors have become increasingly important for a wide variety of applications and objects from molecules to planets. Appropriate shape descriptors are critical for accurate (and efficient) shape retrieval and 3D model classification. Several spectral-based shape descriptors have been introduced by solving various physical equations over a 3D surface model. In this paper, for the first time, we incorporate a specific manifold learning technique, introduced in statistics and machine learning, to develop a global, spectral-bas

APA, Harvard, Vancouver, ISO, and other styles

33

Fist, Andrew, and Joseph Majdalani. "On the swirling Trkalian mean flow field in solid rocket motors." Journal of Fluid Mechanics 824 (July 5, 2017): 265–85. http://dx.doi.org/10.1017/jfm.2017.342.

Full text

Abstract:

In this work, an exact Euler solution is derived under the fundamental contingencies of axisymmetric, steady, rotational, incompressible, single-phase, non-reactive and inviscid fluid, which also stand behind the ubiquitously used mean flow profile named ‘Taylor–Culick.’ In comparison with the latter, which proves to be complex lamellar, the present model is derived in the context of a Trkalian flow field, and hence is capable of generating a non-zero swirl component that increases linearly in the streamwise direction. This enables us to provide an essential mathematical representation that is

APA, Harvard, Vancouver, ISO, and other styles

34

Reznikov, Andre. "A uniform bound for geodesic periods of eigenfunctions on hyperbolic surfaces." Forum Mathematicum 27, no. 3 (2015). http://dx.doi.org/10.1515/forum-2012-0185.

Full text

Abstract:

AbstractWe consider periods along closed geodesics and along geodesic circles for eigenfunctions of the Laplace–Beltrami operator on a compact hyperbolic Riemann surface. We obtain uniform bounds for such periods as the corresponding eigenvalue tends to infinity. We use methods from the theory of automorphic functions and, in particular, the uniqueness of the corresponding invariant functionals on irreducible unitary representations of PGL

APA, Harvard, Vancouver, ISO, and other styles

35

Basteiro, Pablo, Janine Elfert, Johanna Erdmenger, and Haye Hinrichsen. "Fractional Klein-Gordon equation on AdS₂₊₁." Journal of Physics A: Mathematical and Theoretical, July 20, 2022. http://dx.doi.org/10.1088/1751-8121/ac82d5.

Full text

Abstract:

Abstract We propose a covariant deﬁnition of the fractional Klein-Gordon equation with long-range interactions independent of the metric of the underlying manifold. As an example we consider the fractional Klein-Gordon equation on AdS2+1, computing the explicit kernel representation of the fractional Laplace-Beltrami operator as well as the two-point propagator of the fractional Klein-Gordon equation. Our results suggest that the propagator only exists if the mass is small compared to the inverse AdS radius, presumably because the AdS space expands faster with distance as a ﬂat space of the sa

APA, Harvard, Vancouver, ISO, and other styles

36

Kirchbach, M., T. Popov, and J. A. Vallejo. "Color confinement at the boundary of the conformally compactified AdS5." Journal of High Energy Physics 2021, no. 9 (2021). http://dx.doi.org/10.1007/jhep09(2021)171.

Full text

Abstract:

Abstract The topology of closed manifolds forces interacting charges to appear in pairs. We take advantage of this property in the setting of the conformal boundary of AdS5 spacetime, topologically equivalent to the closed manifold S1× S3, by considering the coupling of two massless opposite charges on it. Taking the interaction potential as the analog of Coulomb interaction (derived from a fundamental solution of the S3 Laplace-Beltrami operator), a conformal S1× S3 metric deformation is proposed, such that free motion on the deformed metric is equivalent to motion on the round metric in the

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!