2022
DOI: 10.3390/rs14030797
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Fractional Fourier Transform-Based Tensor RX for Hyperspectral Anomaly Detection

Abstract: Anomaly targets in a hyperspectral image (HSI) are often multi-pixel, rather than single-pixel, objects. Therefore, algorithms using a test point vector may ignore the spatial characteristics of the test point. In addition, hyperspectral anomaly detection (AD) algorithms usually use original spectral signatures. In a fractional Fourier transform (FrFT), the signals in the fractional Fourier domain (FrFD) possess complementary characteristics of both the original reflectance spectrum and its Fourier transform. … Show more

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Cited by 13 publications
(2 citation statements)
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“…For another thing, the background modeling (i.e., calculating the statistical characteristics) is vulnerable to being contaminated by the anomalies, thus resulting in suboptimal modeling effect. To tackle above issues, some variants based on RX detector, such as local RX (LRX) [21], kernel RX (KRX) [22], fractional Fourier entropy RX (FrFE-RX) [23] and fractional Fourier transform-based tensor RX (FrFT-TRX) [24], etc., are proposed. However, these methods fail to fully characterize the background.…”
Section: Introductionmentioning
confidence: 99%
“…For another thing, the background modeling (i.e., calculating the statistical characteristics) is vulnerable to being contaminated by the anomalies, thus resulting in suboptimal modeling effect. To tackle above issues, some variants based on RX detector, such as local RX (LRX) [21], kernel RX (KRX) [22], fractional Fourier entropy RX (FrFE-RX) [23] and fractional Fourier transform-based tensor RX (FrFT-TRX) [24], etc., are proposed. However, these methods fail to fully characterize the background.…”
Section: Introductionmentioning
confidence: 99%
“…Hyperspectral images (HSIs), which have the characteristics of a wide spectral range and high spectral resolution, are widely utilized to discriminate physical properties of different materials [1]. Benefitting from the rich spectral information, HSIs are active in the field of image classification [2,3], hyperspectral unmixing [4,5], band selection [6,7], anomaly detection [8,9] and target detection [10,11]. Among these applications, hyperspectral anomaly detection (HAD), aiming to excavate the pixels with significant spectral difference relative to surrounding pixels [12], attracts particular interest.…”
Section: Introductionmentioning
confidence: 99%