Results 11 to 20 of about 84,229 (281)
New fractional-order shifted Gegenbauer moments for image analysis and recognition
Journal of Advanced Research, 2020 Orthogonal moments are used to represent digital images with minimum redundancy. Orthogonal moments with fractional-orders show better capabilities in digital image analysis than integer-order moments.
Khalid M. Hosny +2 more
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Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments
Journal of Imaging, 2020 In this work, we have presented a general framework for reconstruction of intensity images based on new sets of Generalized Fractional order of Chebyshev orthogonal Moments (GFCMs), a novel set of Fractional order orthogonal Laguerre Moments (FLMs) and ...
R. M. Farouk
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Hausdorff moment problem via fractional moments [PDF]
Applied Mathematics and Computation, 2003 We outline an efficient method for the reconstruction of a probability density function from the knowledge of its infinite sequence of ordinary moments. The approximate density is obtained resorting to maximum entropy technique, under the constraint of some fractional moments. The latter ones are obtained explicitly in terms of the infinite sequence of
Novi Inverardi, Pier Luigi +3 more
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A New Set of 3D Shifted Fractional-Order Gegenbauer Descriptors for Volumetric Image Representation
Mathematics, 2022 Volumetric images have a three-dimensional (3D) view, in which viewers can examine their characteristics from any angle. The more accurate the digital representation of volumetric images, the more precise and valuable the assessment of what these images ...
Doaa Sami Khafaga +3 more
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Quaternion fractional-order color orthogonal moment-based image representation and recognition
EURASIP Journal on Image and Video Processing, 2021 Inspired by quaternion algebra and the idea of fractional-order transformation, we propose a new set of quaternion fractional-order generalized Laguerre orthogonal moments (QFr-GLMs) based on fractional-order generalized Laguerre polynomials.
Bing He +4 more
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Some Useful Integral Representations for Information-Theoretic Analyses
Entropy, 2020 This work is an extension of our earlier article, where a well-known integral representation of the logarithmic function was explored and was accompanied with demonstrations of its usefulness in obtaining compact, easily-calculable, exact formulas for ...
Neri Merhav, Igal Sason
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Integral Transforms and Special Functions, 2022 We evaluate the moments of some functions composed with the fractional part of $1/x$. We name them fractional moments. In particular, we obtain expressions for the fractional moments of some trigonometric functions, the Bernoulli polynomials and the functions $x^m$ and $x^m(1-x)^m$.
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Novel Multi-Channel Fractional-Order Radial Harmonic Fourier Moments for Color Image Analysis
IEEE Access, 2020 The classical radial harmonic Fourier moments (RHFMs) and the quaternion radial harmonic Fourier moments (QRHFMs) are gray-scale and color image descriptors. The radial harmonic functions with integer orders are not able to extract fine features from the
Khalid M. Hosny +2 more
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Some Properties of Fractional Boas Transforms of Wavelets
Journal of Mathematics, 2021 In this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas transforms and give some results related to their vanishing moments.
Nikhil Khanna +3 more
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On fractional Fourier transform moments [PDF]
IEEE Signal Processing Letters, 2000 Based on the relation between the ambiguity function represented in a quasi-polar coordinate system and the fractional power spectra, the fractional Fourier transform moments are introduced. Important equalities for the global second-order fractional Fourier transform moments are derived and their applications for signal analysis are discussed.
Alieva, T., Bastiaans, M.J.
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