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Image analysis through the Wigner distribution function
Applied Optics, 1989The Wigner distribution (WD) for discrete images is computed and applied for texture analysis. First, the WD for different test images with spatial frequency and gray level information content is computed, and the most important features of the WD are outlined.
G, Cristóbal +2 more
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The Wigner Function as Distribution Function
Foundations of Physics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional Wigner distribution function
Journal of the Optical Society of America A, 1996The fractional Wigner distribution function, introduced in this paper starting from the fractional Fourier transform, is found to be the appropriate phase-space distribution function for light-beam characterization in the near-field diffraction regime.
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Wavelet Transformation and Wigner-Husimi Distribution Function
International Journal of Theoretical Physics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Liyun, Fan, Hong-Yi
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Wigner distribution function in nonlinear optics
Applied Optics, 1996Transformation laws for the Wigner distribution function, the radiant intensity, the radiant emittance, and the first- and second-order moments of the Wigner distribution function through an inhomogeneous, Kerr-type medium have been derived as well as for the beam quality factor and the kurtosis parameter.
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Wigner distribution function of an Airy beam
Journal of the Optical Society of America A, 2011We study the Wigner distribution function (WDF) of an Airy beam. The analytical expression of the WDF of an Airy beam is obtained. Numerical and graphical results of the WDF of an Airy beam provide an intuitive picture to explain the intriguing features of an Airy beam, such as weak diffraction, curved propagation, and self-healing. Our results confirm
Rui-Pin, Chen +2 more
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Entropy and Wigner Distribution Functions Revisited
International Journal of Theoretical Physics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Wigner distribution function and optical geometrical transformation
Applied Optics, 1984The Wigner distribution function is applied to optical geometrical transformations, which are implemented by the use of computer-generated holograms under coherent illumination.
J Z, Jiao, B, Wang, H, Liu
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Wigner distribution and reduced distribution functions
The Journal of Chemical Physics, 1973Some general properties of the equilibrium Wigner distribution function are discussed. An invariance law under Galilean transformation is obtained for systems with no external forces. The reduced distribution functions in configurational, momentum, and phase space are studied, with emphasis on the correlations of the velocities among themselves and ...
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Wigner distribution function for finite systems
Journal of Mathematical Physics, 1998We construct a Wigner distribution function for finite data sets. It is based on a finite optical system; a linear wave guide where the finite number of discrete sensors is equal to the number of modes which the guide can carry. The dynamical group for this model is SU(2) and the wave functions are sets of N=2l+1 data points.
Atakishiyev, Natig M. +2 more
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