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A novel Gauss-Laplace operator based on multi-scale convolution for dance motion image enhancement
This article has been retracted, and the retraction notice can be found here: http://dx.doi.org/10.4108/eai.8-4-2022.173797. Traditional image enhancement methods have the problems of low contrast and fuzzy details.
Dianhuai Shen+2 more
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Infinitesimal aspects of the Laplace operator
In the context of synthetic differential geometry, we study the Laplace operator an a Riemannian manifold. The main new aspect is a neighbourhood of the diagonal, smaller than the second neighbourhood usually required as support for second order ...
Anders Kock
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Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator. [PDF]
Ozoliņš V, Lai R, Caflisch R, Osher S.
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LNO: Laplace Neural Operator for Solving Differential Equations [PDF]
We introduce the Laplace neural operator (LNO), which leverages the Laplace transform to decompose the input space. Unlike the Fourier Neural Operator (FNO), LNO can handle non-periodic signals, account for transient responses, and exhibit exponential ...
Qianying Cao, S. Goswami, G. Karniadakis
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The Nehari manifold approach for singular equations involving the p(x)-Laplace operator [PDF]
We study the following singular problem involving the p(x)-Laplace operator , where is a nonconstant continuous function, Here, Ω is a bounded domain in with -boundary, λ is a positive parameter, are positive weight functions with compact support in Ω ...
Dušan D. Repovš, K. Saoudi
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Transmutation Operator Method for Solving Heat Conduction Problem [PDF]
The transmutation operator method is extended to the case of functions of two variables. The transmutation operator flattens the function, i.e. the transmutation operator replaces a function with discontinuous partial derivatives on the coordinate axes ...
Yaremko Oleg, Yaremko Natalia
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The mathematical characteristic of the fifth order Laplace contour filters used in digital image processing [PDF]
The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used fifth-order pixels Laplace filters including the difference schemes used to derive ...
Ireneusz Winnicki+3 more
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The mathematical characteristic of the Laplace contour filters used in digital image processing. The third order filters [PDF]
The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used third-order 3x3 pixels Laplace contour filters including the difference schemes used ...
Ireneusz Winnicki+3 more
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This study presents a new analytical method to extract the fuzzy solution of the fuzzy initial value problem (FIVP) of fourth-order fuzzy ordinary differential equations (FODEs) using the Laplace operator under the strongly generalized Hukuhara ...
Muhammad Akram+3 more
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We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
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