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Books on the topic 'Invariant moments'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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1

Flusser, Jan. Moments and moment invariants in pattern recognition. J. Wiley, 2009.

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2

Flusser, Jan. Moments and moment invariants in pattern recognition. J. Wiley, 2009.

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3

Flusser, Jan. Moments and moment invariants in pattern recognition. J. Wiley, 2009.

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4

Guillemin, Victor. Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces. Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0269-1.

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5

Papakostas, George, ed. Moments and Moment Invariants - Theory and Applications. Science Gate Publishing P.C., 2014. http://dx.doi.org/10.15579/gcsr.vol1.

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6

Flusser, Jan, Barbara Zitova, and Tomas Suk. Moments and Moment Invariants in Pattern Recognition. Wiley & Sons, Incorporated, John, 2009.

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7

Flusser, Jan, Barbara Zitova, and Tomas Suk. Moments and Moment Invariants in Pattern Recognition. Wiley & Sons, Incorporated, John, 2009.

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8

Flusser, Jan, Barbara Zitova, and Tomasc Suk. Moments and Moment Invariants in Pattern Recognition. Wiley & Sons, Limited, John, 2009.

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9

Flusser, Jan, Barbara Zitova, and Tomas Suk. 2D and 3D Image Analysis by Moments. Wiley & Sons, Incorporated, John, 2016.

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10

Flusser, Jan, Barbara Zitova, and Tomas Suk. 2D and 3D Image Analysis by Moments. Wiley & Sons, Limited, John, 2016.

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11

Flusser, Jan, Barbara Zitova, and Tomas Suk. 2D and 3D Image Analysis by Moments. Wiley & Sons, Incorporated, John, 2016.

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12

Flusser, Jan, Barbara Zitova, and Tomas Suk. 2D and 3D Image Analysis by Moments. Wiley & Sons, Limited, John, 2016.

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13

Kachelriess, Michael. Global symmetries and Noether’s theorem. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0005.

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Noethers theorem shows that continuous global symmetries lead classically to conservation laws. Such symmetries can be divided into spacetime and internal symmetries. The invariance of Minkowski space-time under global Poincaré transformations leads to the conservation of the four-momentum and the total angular momentum. Examples for conserved charges due to internal symmetries are electric and colour charge. The vacuum expectation value of a Noether current is shown to beconserved in a quantum field theory if the symmetry transformation keeps the path-integral measure invariant.
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14

Fogarty, John, Frances Kirwan, and David Mumford. Geometric Invariant Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge). 3rd ed. Springer, 2003.

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15

Maggiore, Michele. Helicity decomposition of metric perturbations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198570899.003.0009.

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Decomposition of the perturbations over FRW into scalar, vector and tensor perturbations. Physical and unphysical degrees of freedom. Gauge-invariant metric perturbations, Bardeen variables. Gauge-invariant perturbations of the energy-momentum tensor
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16

Guillemin, Victor. Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces. Springer, 2012.

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17

Guillemin, Victor. Moment Maps and Combinatorial Invariants of Hamiltonian Tn-Spaces. Birkhauser Verlag, 2012.

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18

Moment maps and combinatorial invariants of Hamiltonian Tn̳-spaces. Birkhäuser, 1994.

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19

Recognition of Ship Types from an Infrared Image Using Moment Invariants and Neural Networks. Storming Media, 2001.

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20

Deruelle, Nathalie, and Jean-Philippe Uzan. The Maxwell equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0030.

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This chapter presents Maxwell equations determining the electromagnetic field created by an ensemble of charges. It also derives these equations from the variational principle. The chapter studies the equation’s invariances: gauge invariance and invariance under Poincaré transformations. These allow us to derive the conservation laws for the total charge of the system and also for the system energy, momentum, and angular momentum. To begin, the chapter introduces the first group of Maxwell equations: Gauss’s law of magnetism, and Faraday’s law of induction. It then discusses current and charge
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21

McDuff, Dusa, and Dietmar Salamon. Symplectic group actions. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198794899.003.0006.

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The chapter begins with a discussion of circle actions and their relation to 2-sphere bundles. It continues with a section on general Hamiltonian group actions and moment maps, then proceeds to discuss various explicit examples in both finite and infinite dimensions, and introduces the Marsden–Weinstein quotient, together with new examples that explain its relation to the construction of generating functions for Lagrangians. Further sections give a proof of the Atiyah–Guillemin–Sternberg convexity theorem about the image of the moment map in the case of torus actions, and use equivariant cohom
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22

High Energy Laser Beam Propagation in the Atmosphere: The Integral Invariants of the Nonlinear Parabolic Equation and the Method of Moments. Independently Published, 2020.

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23

Deruelle, Nathalie, and Jean-Philippe Uzan. Conservation laws. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0045.

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This chapter studies how the ‘spacetime symmetries’ can generate first integrals of the equations of motion which simplify their solution and also make it possible to define conserved quantities, or ‘charges’, characterizing the system. As already mentioned in the introduction to matter energy–momentum tensors in Chapter 3, the concepts of energy, momentum, and angular momentum are related to the invariance properties of the solutions of the equations of motion under spacetime translations or rotations. The chapter explores these in greater detail. It first turns to isometries and Killing vect
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24

Rajeev, S. G. Euler’s Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0002.

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Euler derived the fundamental equations of an ideal fluid, that is, in the absence of friction (viscosity). They describe the conservation of momentum. We can derive from it the equation for the evolution of vorticity (Helmholtz equation). Euler’s equations have to be supplemented by the conservation of mass and by an equation of state (which relates density to pressure). Of special interest is the case of incompressible flow; when the fluid velocity is small compared to the speed of sound, the density may be treated as a constant. In this limit, Euler’s equations have scale invariance in addi
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25

Deruelle, Nathalie, and Jean-Philippe Uzan. Matter in curved spacetime. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0043.

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This chapter is concerned with the laws of motion of matter—particles, fluids, or fields—in the presence of an external gravitational field. In accordance with the equivalence principle, this motion will be ‘free’. That is, it is constrained only by the geometry of the spacetime whose curvature represents the gravitation. The concepts of energy, momentum, and angular momentum follow from the invariance of the solutions of the equations of motion under spatio-temporal translations or rotations. The chapter shows how the action is transformed, no longer under a modification of the field configur
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26

Rajeev, S. G. Hamiltonian Systems Based on a Lie Algebra. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0010.

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There is a remarkable analogy between Euler’s equations for a rigid body and his equations for an ideal fluid. The unifying idea is that of a Lie algebra with an inner product, which is not invariant, on it. The concepts of a vector space, Lie algebra, and inner product are reviewed. A hamiltonian dynamical system is derived from each metric Lie algebra. The Virasoro algebra (famous in string theory) is shown to lead to the KdV equation; and in a limiting case, to the Burgers equation for shocks. A hamiltonian formalism for two-dimensional Euler equations is then developed in detail. A discret
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27

Vigdor, Steven E. Where’s the Antimatter Gone, Long Time Passing? Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198814825.003.0002.

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Chapter 2 describes experiments searching for CP symmetry violations that might account for the matter–antimatter imbalance in our universe. It describes the historical discovery of mesons and quantum-mechanical oscillations between particle and antiparticle (i.e., particle–antiparticle oscillations) in the neutral K meson and heavier meson systems. It introduces quarks and quark flavor. The chapter relates CP violation to violations of time reversal invariance that might be revealed by a spatial separation of positive and negative electric charge within or around the fundamental constituent p
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28

Rajeev, S. G. The Navier–Stokes Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0003.

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When different layers of a fluid move at different velocities, there is some friction which results in loss of energy and momentum to molecular degrees of freedom. This dissipation is measured by a property of the fluid called viscosity. The Navier–Stokes (NS) equations are the modification of Euler’s equations that include this effect. In the incompressible limit, the NS equations have a residual scale invariance. The flow depends only on a dimensionless ratio (the Reynolds number). In the limit of small Reynolds number, the NS equations become linear, equivalent to the diffusion equation. Id
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29

Mann, Peter. Constrained Hamiltonian Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0021.

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This chapter focuses on autonomous geometrical mechanics, using the language of symplectic geometry. It discusses manifolds (including Kähler manifolds, Riemannian manifolds and Poisson manifolds), tangent bundles, cotangent bundles, vector fields, the Poincaré–Cartan 1-form and Darboux’s theorem. It covers symplectic transforms, the Marsden–Weinstein symplectic quotient, presymplectic and symplectic 2-forms, almost symplectic structures, symplectic leaves and foliation. It also discusses contact structures, musical isomorphisms and Arnold’s theorem, as well as integral invariants, Nambu struc
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