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Smoothed histogram modification for image processing

Kautsky, J., Nichols, N. ORCID: https://orcid.org/0000-0003-1133-5220 and Jupp, D. L.B. (1984) Smoothed histogram modification for image processing. Computer Vision, Graphics, and Image Processing, 26 (3). pp. 271-291. ISSN 0734-189X

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To link to this item DOI: 10.1016/0734-189X(84)90213-5

Abstract/Summary

The technique of constructing a transformation, or regrading, of a discrete data set such that the histogram of the transformed data matches a given reference histogram is commonly known as histogram modification. The technique is widely used for image enhancement and normalization. A method which has been previously derived for producing such a regrading is shown to be “best” in the sense that it minimizes the error between the cumulative histogram of the transformed data and that of the given reference function, over all single-valued, monotone, discrete transformations of the data. Techniques for smoothed regrading, which provide a means of balancing the error in matching a given reference histogram against the information lost with respect to a linear transformation are also examined. The smoothed regradings are shown to optimize certain cost functionals. Numerical algorithms for generating the smoothed regradings, which are simple and efficient to implement, are described, and practical applications to the processing of LANDSAT image data are discussed.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:27495

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