Fractional derivative filter for image contrast enhancement with order prediction

Khanna, Srikanth; Chandrasekaran, V.

doi:10.1049/cp.2012.0432

Cited by 16 publications

(11 citation statements)

References 15 publications

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“…Fractional calculus [17][18][19] has been recently used in various applications and yielded successful results. Fractional Filter is used to preprocess an image.…”

Section: Preprocessingmentioning

confidence: 99%

“…Fractional Filter is used to preprocess an image. In this step, the fractional derivative developed by Khanna and Chandrasekaran [17] is used to adaptively improve the original image depending on the statistics of the image. Various filters are used in the study, and the fractional derivative filter was preferred in this study because it yielded the best result.…”

Section: Preprocessingmentioning

confidence: 99%

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A new modified neutrosophic set segmentation approach

Sert

2018

Computers & Electrical Engineering

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Segmentation is paramount to 3D video systems employing multi-view video-plus-depth data (MVD) to implement free-viewpoint navigation and comfortable 3D viewing, modeling, and comprehension. The Neutrosophic Set (NS) concept relies on the neutrosophy theory dealing with structures, and it focuses on the origin, scope, and nature of neutralities. NS used in this study is norm-entropy-based, and it is called Modified Neutrosophic Set Segmentation (MNSS). 3D modeling method via MNSS (3DMM_MNSS) proposed in this study improves the quality of single object 3D modeling through an NS stratagem called MNSS. 3DMM_MNSS is compared with 3D modeling method via OATS (3DMM_OATS) and with the 3D modeling method via FCMS (3DMM_FCMS). MNSS improves the quality of 3D modeling and prevents the problems arising from the depth map imprecision in terms of Figure of Merit (FOM), the Peak Signal-to-Noise Ratio (PSNR), and the Uniformity Measure (UM) as performance metrics.

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“…Fractional calculus [17][18][19] has been recently used in various applications and yielded successful results. Fractional Filter is used to preprocess an image.…”

Section: Preprocessingmentioning

confidence: 99%

Section: Preprocessingmentioning

confidence: 99%

A new modified neutrosophic set segmentation approach

Sert

2018

Computers & Electrical Engineering

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“…We note the rapid growth of the development of algorithms using fractional differentiation, specifically in the field of artificial intelligence. These include, for example, image-processing algorithms [5], the identification of image features [6][7][8], and computer [9][10][11] and experimental [12,13] implementation of fractal proportional-integral-derivative (PID) controllers for industrial control systems.…”

Section: Introductionmentioning

confidence: 99%

Best Approximation of the Fractional Semi-Derivative Operator by Exponential Series

Zakharchenko

Kovalenko

2018

Mathematics

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A significant reduction in the time required to obtain an estimate of the mean frequency of the spectrum of Doppler signals when seeking to measure the instantaneous velocity of dangerous near-Earth cosmic objects (NEO) is an important task being developed to counter the threat from asteroids. Spectral analysis methods have shown that the coordinate of the centroid of the Doppler signal spectrum can be found by using operations in the time domain without spectral processing. At the same time, an increase in the speed of resolving the algorithm for estimating the mean frequency of the spectrum is achieved by using fractional differentiation without spectral processing. Thus, an accurate estimate of location of the centroid for the spectrum of Doppler signals can be obtained in the time domain as the signal arrives. This paper considers the implementation of a fractional-differentiating filter of the order of 1 ⁄2 by a set of automation astatic transfer elements, which greatly simplifies practical implementation. Real technical devices have the ultimate time delay, albeit small in comparison with the duration of the signal. As a result, the real filter will process the signal with some error. In accordance with this, this paper introduces and uses the concept of a "pre-derivative" of 1 ⁄2 of magnitude. An optimal algorithm for realizing the structure of the filter is proposed based on the criterion of minimum mean square error. Relations are obtained for the quadrature coefficients that determine the structure of the filter.

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“…Only basic difference is that integer order of derivative is replaced by the fractional order that means, in fractional derivative case, order becomes more generalized. Fractional derivative has very enriched history in mathematics; however recently, it has emerged as a very novel concept in various applications such as image sharpness enhancement [1], de-noising [2], estimation of blur in motion of image [3], image contrast aggravation [4], design of flexible RL and RC circuits [5], design of differentiator and fixed fractional delay FIR filter [6]. Recently, fractional derivative has been exploited for the design of linear phase FIR filter [7].…”

Section: Introductionmentioning

confidence: 99%