1995
DOI: 10.1109/83.388088
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A variational approach to the radiometric enhancement of digital imagery

Abstract: In this correspondence, we present a variational approach to the problem of finding suitable radiometric image transformations that optimize desirable characteristics of the output image histogram. This variational approach can be interpreted as the minimization of the cumulative spacing between histogram bars in the least squares sense subject to some weight function. Most of the common histogram transformation procedures used in remote sensing applications can be deduced from this general variational approac… Show more

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Cited by 26 publications
(19 citation statements)
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“…According to formula, (x, y) are the coordinates of the center picture element in the kernel and min and max are the minimum and maximum values of the image data in the selected kernel [13].…”
Section: Ip(x Y) Is the Color Level For The Output Pixel(x Y) Aftermentioning
confidence: 99%
“…According to formula, (x, y) are the coordinates of the center picture element in the kernel and min and max are the minimum and maximum values of the image data in the selected kernel [13].…”
Section: Ip(x Y) Is the Color Level For The Output Pixel(x Y) Aftermentioning
confidence: 99%
“…In Section 2, we first introduce a variational formulation of histogram equalization proposed by Altas, Louis, and Belward [23]. By the variational approach, histogram equalization is expressed as a functional optimization problem.…”
Section: Introductionmentioning
confidence: 99%
“…Contrast stretching methods using local statistics are also reported [16,17,24]. Attas et al [1] have devised a variational approach to local contrast enhancement through a suitable optimization of some desirable characteristics of graylevel histogram of output image. Similar approach for constrained local histogram equalization has been adopted by Zhu et al [31].…”
Section: Introductionmentioning
confidence: 99%