![]() ![]() Instructions to use are in comments at the top of the procedure file. It is my hope that this code will be soon replaced by much cleaner code. As such it is very clumsy and difficult to read. Later I have converted this code to Igor code. Note: this code has been converted and optimized by Pete Jemian from original Basic code by J. "Maximum-Entropy Image-Reconstruction - General Algorithm." Monthly Notices of the Royal Astronomical Society 211(1): 111). "Maximum-Entropy Image-Reconstruction from Phaseless Fourier Data." Optica Acta 33(3): 287-299. "Deconvolution by Maximum-Entropy, as Illustrated by Application to the Jet of M87." Monthly Notices of the Royal Astronomical Society 191(1): 69 Bryan, R. It relies on a maximum entropy engine of Skilling and Bryan (Bryan, R. "Characterization of 9cr-1movnb Steel by Anomalous Small-Angle X-Ray-Scattering." Acta Metallurgica Et Materialia 39(11): 2477-2487.). "A New Method for the Determination of Particle-Size Distributions from Small-Angle Neutron-Scattering Measurements." Journal of Applied Crystallography 21: 891-897.), and further advanced by one of the authors (Jemian, P. "Particle-Size Distributions from Sans Data Using the Maximum-Entropy Method." Journal of Applied Crystallography 21: 663-668. ![]() The maximum entropy method was developed by Jennifer Potton, et al. These two constraints are imposed simultaneously through the use of a Lagrange multiplier. In short, their Ma圎nt method maximizes the configurational entropy of the histogram subject to the scattering calculated from that histogram fitting the measured data to within the experimental errors. Solution of the linear scattering equation by a direct matrix inversion is not unique due to the high condition number. Answer (1 of 4): Ill use picture, then words (no equations, symbols and numbers). The matrix component, G, describes the assumed morphology of the scatterers underlying the measured data, I. It can likely be used for number of similar problems.Įxpressing the size distribution as a histogram, f, it is possible to rewrite the scattering equation as a linear equation. It has been used for interpretation of a size distribution from small-angle scattering data, which involves the inversion of an integral equation for which there is no exact solution. This is Maximum Entropy Package for solving problems which can be written as linear equation: I = G f, where I is measured signal, G is response matrix and f is a model distribution. Wide-Angle Neutron Spin Echo Spectroscopy. ![]()
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