Modification of maximum-entropy method for reconstruction of complex two-dimensional functions

1991 ◽  
Vol 34 (8) ◽  
pp. 737-742
Author(s):  
A. T. Baikova
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Two Dimensional

Restoration of Scanning Tunneling Microscope Images by means of Two-Dimensional Maximum Entropy Method

2002 ◽  
Vol 41 (Part 1, No. 5A) ◽  
pp. 3092-3098 ◽  
Author(s):  
Hisanori Matsumoto ◽  
Kazuo Tokiwano ◽  
Hirotaka Hosoi ◽  
Kazuhisa Sueoka ◽  
Koichi Mukasa
Keyword(s):  
Maximum Entropy ◽  
Scanning Tunneling Microscope ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Scanning Tunneling ◽  
Two Dimensional ◽  
Tunneling Microscope ◽  
Microscope Images

Reconstruction of Momentum Density Distribution from 2D ACAR Data via Maximum Entropy and Cormack Methods

2010 ◽  
Vol 666 ◽  
pp. 151-154
Author(s):  
M. Pylak ◽  
Ludwik Dobrzyński ◽  
G. Kontrym-Sznajd
Keyword(s):  
Density Distribution ◽  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Momentum Density ◽  
Entropy Method ◽  
Annihilation Radiation ◽  
Two Dimensional ◽  
Electron Momentum ◽  
Radiation Data ◽  
Good Agreement

Novel application of Maximum Entropy method to the reconstruction of electron momentum density distribution from line projections is presented. Our new algorithm is applied to two dimensional angular correlation of annihilation radiation data in Gd. Reconstructed densities are in very good agreement with corresponding densities reconstructed by Cormack’s method.

Enhanced Information Recovery in 2D On-and Off-Resonance Nutation NQR using the Maximum Entropy Method

1996 ◽  
Vol 51 (5-6) ◽  
pp. 337-347 ◽  
Author(s):  
Mariusz Maćkowiak ◽  
Piotr Kątowski
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Theoretical Description ◽  
Entropy Method ◽  
Zero Field ◽  
Resonance Effects ◽  
Information Recovery ◽  
Truncation Errors ◽  
Enhanced Resolution ◽  
2D Data

Abstract Two-dimensional zero-field nutation NQR spectroscopy has been used to determine the full quadrupolar tensor of spin - 3/2 nuclei in serveral molecular crystals containing the 3 5 Cl and 7 5 As nuclei. The problems of reconstructing 2D-nutation NQR spectra using conventional methods and the advantages of using implementation of the maximum entropy method (MEM) are analyzed. It is shown that the replacement of conventional Fourier transform by an alternative data processing by MEM in 2D NQR spectroscopy leads to sensitivity improvement, reduction of instrumental artefacts and truncation errors, shortened data acquisition times and suppression of noise, while at the same time increasing the resolution. The effects of off-resonance irradiation in nutation experiments are demonstrated both experimentally and theoretically. It is shown that off-resonance nutation spectroscopy is a useful extension of the conventional on-resonance experiments, thus facilitating the determination of asymmetry parameters in multiple spectrum. The theoretical description of the off-resonance effects in 2D nutation NQR spectroscopy is given, and general exact formulas for the asymmetry parameter are obtained. In off-resonance conditions, the resolution of the nutation NQR spectrum decreases with the spectrometer offset. However, an enhanced resolution can be achieved by using the maximum entropy method in 2D-data reconstruction.

Estimating the distribution of primary reflection coefficients

Geophysics ◽  
2003 ◽  
Vol 68 (4) ◽  
pp. 1417-1422 ◽  
Author(s):  
Danilo R. Velis
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Reflection Coefficients ◽  
Log Data ◽  
Neuquen Basin ◽  
Neuquén Basin ◽  
Skewness And Kurtosis

The distribution of primary reflection coefficients can be estimated by means of the maximum entropy method, giving rise to smooth nonparametric functions which are consistent with the data. Instead of using classical moments (e.g. skewness and kurtosis) to constraint the maximization, nonconventional sample statistics help to improve the quality of the estimates. Results using real log data from various wells located in the Neuquen Basin (Argentina) show the effectiveness of the method to estimate both robust and consistent distributions that may be used to simulate realistic sequences.

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