@article {Foist:2010-11-01T00:00:00:0003-7028:1209,
author = "Foist, Rod B. and Foist, Rod B. and Schulze, H. Georg and Schulze, H. Georg and Jirasek, Andrew and Jirasek, Andrew and Ivanov, Andre and Ivanov, Andre and Turner, Robin F. B. and Turner, Robin F. B.",
title = "A Matrix-Based Two-Dimensional Regularization Algorithm for Signal-to-Noise Ratio Enhancement of Multidimensional Spectral Data",
journal = "Applied Spectroscopy",
volume = "64",
number = "11",
year = "2010-11-01T00:00:00",
abstract = "We present a new spectral image processing algorithm, the “matrix maximum entropy method” (MxMEM), which offers efficient signal-to-noise ratio (SNR) enhancement of multidimensional spectral data. MxMEM is based upon two previous regularization methods that employ the maximum
entropy concept. The first is a one-dimensional (1D) algorithm, which smoothes individual vectors, called the two-point maximum entropy method (TPMEM). The second is a two-dimensional (2D) form called 2D TPMEM, that smoothes images but processes them one vector at a time. MxMEM is a truly
two dimensional image processing algorithm in that its “smoothing engine” performs two-dimensional processing in every iteration. We demonstrate that this matrix-based construction makes more effective use of two-dimensionally embedded information and thus confers significant advantages
over other regularization approaches. In addition, we utilize the concept that individual related Raman spectra can be combined in a matrix to form an artificial Raman “image”. We show that, when processed as an image, superior SNR enhancement is achieved compared to processing
the same data by TPMEM one spectrum at a time.",
pages = "1209-1219",
url = "http://www.ingentaconnect.com/content/sas/sas/2010/00000064/00000011/art00007",
doi = "doi:10.1366/000370210793335142",
keyword = "IMAGE PROCESSING ALGORITHM, SNR, SIGNAL-TO-NOISE RATIO ENHANCEMENT, TWO-DIMENSIONAL SPECTRAL SMOOTHING, TWO-DIMENSIONAL REGULARIZATION"
}