Results 251 to 260 of about 5,018 (278)

Generalized convolutions for the Fourier integral transforms and applications

2008
Summary: This paper provides some generalized convolutions for the Fourier integral transforms and treats the applications. Namely, there are six generalized convolutions with weight-function for the Fourier integral transforms. As for applications, the normed ring structures on \(L^1(\mathbb{R}^d)\) are constructed, and the explicit solution in \(L^1(\
Bui Thi Giang, Nguyen Minh Tuan
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Images Classification Integrating Transformer with Convolutional Neural Network

Advances in Engineering Technology Research, 2023
Convolutional neural networks (CNN) are one of the most widely used deep learning methods in computer vision, which can effectively extract local spatial information from images, but lack global understanding and dependency modelling of image features. As a result, contextual information cannot be fully utilized by the network.
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Integrating Convolution and Transformer for Enhanced Diabetic Retinopathy Detection

International Journal of Bio-Inspired Computation, 2023
Xinrong Cao, Jie Lin, Xiaozhi Gao 0003, Zuoyong Li   +3 more
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Sumudu transform and the solution of integral equations of convolution type

International Journal of Mathematical Education in Science and Technology, 2001
The convolution theorem for the Sumudu transform of a function which can be expressed as a polynomial or a convergent infinite series is proved and its applicability demonstrated in solving convolution type integral equations.
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A class of integral transforms related to the fourier cosine convolution

Integral Transforms and Special Functions, 2005
In this work the class of integral transforms related to the Fourier cosine convolution is studied on L 2(R +). Watson’s type theorem is proved. The concept of the symmetric Fourier cosine kernel with a characteristic polynomial is defined. Plancherel’s theorem is formulated. The integral transforms with unsymmetric kernels are studied.
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A note on convolution theorem for some integral transforms

AIP Conference Proceedings, 2023
Deepika Jain, Alok Bhargava, Kalpna Sharma, Manoj Kumar   +3 more
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Generalized convolutions for the Hankel transform and related integral operators

Mathematische Nachrichten, 2007
AbstractThe present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions for the Hankel transform Hν [f ](x) with the following factorization properties: equation image Conditions for the existence of the constructed generalized convolutions are found.The results of this research are ...
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Convolutions and other integral transforms

Periodica Mathematica Hungarica, 1976
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CTFusion: Convolutions Integrate with Transformers for Multi-modal Image Fusion

2022
Zhengwen Shen, Jun Wang 0071, Zaiyu Pan, Jiangyu Wang, Yulian Li   +4 more
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Fractional convolution associated with a class of integral equations

IET Signal Processing, 2020
Qiang Feng
exaly