2019
DOI: 10.1137/18m1177640
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Online Deconvolution for Industrial Hyperspectral Imaging Systems

Abstract: This paper proposes a hyperspectral image deconvolution algorithm for the online 5 restoration of hyperspectral images as provided by wiskbroom and pushbroom scanning systems. 6 We introduce a least-mean-squares (LMS)-based framework accounting for the convolution kernel 7 non-causality and including non-quadratic (zero attracting and piece-wise constant) regularization 8 terms. This results in the so-called sliding block regularized LMS (SBR-LMS) which maintains 9 a linear complexity compatible with real-time… Show more

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Cited by 9 publications
(6 citation statements)
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“…Li et al [163] proposed to perform deconvolution filter computations in the same support as the PSF, so that large matrix manipulations are avoided without memory limitations. Song et al [164] derived a slidingblock zero-attracting least mean square algorithm allowing the fast slice-by-slice online HSIs deconvolution. Avagian et al [165] implemented the Lucy-Richardson HSI deconvolution algorithm accelerated by FPGA.…”
Section: Interesting Extensions 1) Joint With Other Tasksmentioning
confidence: 99%
“…Li et al [163] proposed to perform deconvolution filter computations in the same support as the PSF, so that large matrix manipulations are avoided without memory limitations. Song et al [164] derived a slidingblock zero-attracting least mean square algorithm allowing the fast slice-by-slice online HSIs deconvolution. Avagian et al [165] implemented the Lucy-Richardson HSI deconvolution algorithm accelerated by FPGA.…”
Section: Interesting Extensions 1) Joint With Other Tasksmentioning
confidence: 99%
“…Following the same idea introduced in [9] for online deconvolution, the online joint unmixing-deconvolution is addressed as a sliding block processing. Consider a block of size Q, assumed to be odd, and define:…”
Section: B Online Unmixing and Deconvolutionmentioning
confidence: 99%
“…In [6], the endmembers being assumed to be known, a JUD method with total variation regularization is proposed. The goal of this paper is to propose fast approaches to the JUD problem which can be implemented online using a sliding bock approach similar to the one proposed in [9]. Actually, it should be seen as a preliminary step toward the development of recursive estimators based on LMS (least mean squares).…”
Section: Introductionmentioning
confidence: 99%
“…Additionally, other methods use Fourier and wavelet transforms to derive effective techniques for the HSI restoration problem [8]. Another direction in this field involves the incorporation of online algorithms, as seen in [9], where a sliding-block regularized Least Mean Squares (LMS) technique is employed.…”
Section: Introductionmentioning
confidence: 99%