Multidimensional Wavelets for Scalable Image Decomposition: Orbital Wavelets

• URL: http://arxiv.org/abs/2006.07920v1
• Date: Sun, 14 Jun 2020 14:55:55 GMT
• Title: Multidimensional Wavelets for Scalable Image Decomposition: Orbital Wavelets
• Authors: H. M. de Oliveira, V. V. Vermehren, R. J. Cintra
• Abstract summary: Similarly to the appearance of atomic orbital, it is proposed to combine anti-symmetric wavelets into orbital wavelets. New orbital 2D-wavelets are introduced for the decomposition of still images, showing that it is possible to perform an analysis simultaneous in two distinct scales.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Wavelets are closely related to the Schr\"odinger's wave functions and the interpretation of Born. Similarly to the appearance of atomic orbital, it is proposed to combine anti-symmetric wavelets into orbital wavelets. The proposed approach allows the increase of the dimension of wavelets through this process. New orbital 2D-wavelets are introduced for the decomposition of still images, showing that it is possible to perform an analysis simultaneous in two distinct scales. An example of such an image analysis is shown.

Related papers

• Controllable single-photon wave packet scattering in two-dimensional waveguide by a giant atom [3.7570334364848073]
  We study the dynamical scattering of a single-photon wave packet by a giant atom coupled to a two-dimensional photonic waveguide. We show that arbitrary target scattering single-photon wave packets can be generated by adjusting the coupling strength between the giant atom and different lattice sites of the waveguide.
  arXiv  Detail & Related papers  (2024-10-26T08:29:24Z)
• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Tunable photon-photon correlations in waveguide QED systems with giant atoms [4.520321677645778]
  We investigate the scattering processes of two photons in a one-dimensional waveguide coupled to two giant atoms. By adjusting the accumulated phase shifts between the coupling points, we are able to effectively manipulate the characteristics of these scattering photons.
  arXiv  Detail & Related papers  (2023-11-07T09:02:28Z)
• Two-photon pulse scattering spectroscopy for arrays of two-level atoms, coupled to the waveguide [125.99533416395765]
  We have theoretically studied the scattering of two-photon pulses from a spatially-separated array of two-level atoms coupled to a waveguide. The contributions of various single-eigenstate and double-excited eigenstates of the array have been analyzed.
  arXiv  Detail & Related papers  (2023-02-27T22:05:07Z)
• Collective Radiance of Giant Atoms in Non-Markovian Regime [11.798151369038557]
  We investigate the non-Markovian dynamics of two giant artificial atoms interacting with a continuum of bosonic modes in a 1D waveguide. For certain collective states, the decay rates are found to be far beyond that predicted in the the Dicke model and standard Markovian framework. The trapped photons/phonons in the BICs can also be re-released conveniently by changing the energy level splitting of giant atoms.
  arXiv  Detail & Related papers  (2022-05-23T01:14:56Z)
• Fano interference in quantum resonances from angle-resolved elastic scattering [62.997667081978825]
  We show that probing the angular dependence of the cross section allows us to unveil asymmetric Fano profiles in a single channel shape resonance. We observe a shift in the peak of the resonance profile in the elastic collisions between metastable helium and deuterium molecules.
  arXiv  Detail & Related papers  (2021-05-12T20:41:25Z)
• Diffractive Guiding of Waves by a Periodic Array of Slits [0.0]
  We show that in order to guide waves, it is sufficient to periodically truncate their edges. The modes supported by this type of wave guide propagate freely between the slits, and the propagation pattern repeats itself.
  arXiv  Detail & Related papers  (2021-05-10T13:01:33Z)
• Quantum chaos driven by long-range waveguide-mediated interactions [125.99533416395765]
  We study theoretically quantum states of a pair of photons interacting with a finite periodic array of two-level atoms in a waveguide. Our calculation reveals two-polariton eigenstates that have a highly irregular wave-function in real space.
  arXiv  Detail & Related papers  (2020-11-24T07:06:36Z)
• Radiative topological biphoton states in modulated qubit arrays [105.54048699217668]
  We study topological properties of bound pairs of photons in spatially-modulated qubit arrays coupled to a waveguide. For open boundary condition, we find exotic topological bound-pair edge states with radiative losses. By joining two structures with different spatial modulations, we find long-lived interface states which may have applications in storage and quantum information processing.
  arXiv  Detail & Related papers  (2020-02-24T04:44:12Z)
• Deterministic control of photonic de Broglie waves using coherence optics: Coherence de Broglie waves [0.0]
  photonic de Broglie waves are inversely proportional to the number of entangled photons acting on a beam splitter. Mach-Zehnder interferometer-based deterministic photonic de Broglie waves are studied in a coherence regime.
  arXiv  Detail & Related papers  (2020-01-19T22:55:13Z)
• External and internal wave functions: de Broglie's double-solution theory? [77.34726150561087]
  We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory. The principle is to decompose the evolution of a quantum system into two wave functions. For Schr"odinger, the particles are extended and the square of the module of the (internal) wave function of an electron corresponds to the density of its charge in space.
  arXiv  Detail & Related papers  (2020-01-13T13:41:24Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.