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Fractal Kinetic Analysis of Biomass Hydrothermal Carbonization. [PDF]
ACS OmegaGallifuoco A, Taglieri L.
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The Local Fractional Stieltjes Transform in Fractal Space
, 2012 Guangsheng Chen
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A NEW FRACTAL TRANSFORM FREQUENCY FORMULATION FOR FRACTAL NONLINEAR OSCILLATORS
Fractals, 2021In this study, a new fractal derivative is employed to describe the nonlinear oscillator model. A variational principle of the fractal model is successfully established by using the fractal semi-inverse transform method, and its approximate frequency is obtained by a new fractal transform frequency formulation.
Kang-le Wang
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Local fractal Fourier transform and applications
2021Summary: In this manuscript, we review fractal calculus and the analogues of both local Fourier transform with its related properties and Fourier convolution theorem are proposed with proofs in fractal calculus. The fractal Dirac delta with its derivative and the fractal Fourier transform of the Dirac delta is also defined.
Khalili Golmankhaneh, Alireza +3 more
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IEEE International Conference on Acoustics Speech and Signal Processing, 1993
A generalization of fractal coding of images is presented in which image blocks are represented by mappings derived from least squares approximations using fractal functions. Previously known matching techniques used in fractal transforms are subjects of this generalized method, which is called the Bath fractal transform (BFT). By introducing searching
D. M. Monro
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A generalization of fractal coding of images is presented in which image blocks are represented by mappings derived from least squares approximations using fractal functions. Previously known matching techniques used in fractal transforms are subjects of this generalized method, which is called the Bath fractal transform (BFT). By introducing searching
D. M. Monro
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1995 International Conference on Acoustics, Speech, and Signal Processing, 2002
A modified fractal transform (MFT) is presented. In the function part of the MFT, the conventional greyscale function of an image block is replaced by the greyscale function of an error image block whose mean is removed. This fractal transform is used to approximate an image which is to be encoded.
null Hui Zhang +2 more
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A modified fractal transform (MFT) is presented. In the function part of the MFT, the conventional greyscale function of an image block is replaced by the greyscale function of an error image block whose mean is removed. This fractal transform is used to approximate an image which is to be encoded.
null Hui Zhang +2 more
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A Multiresolution Approximation Theory of Fractal Transform
Fractals, 1997In this paper, we show that the fractal transform (FT) constitutes a multiresolution approximation to the square-integrable space L2(Td) for dā„1, where T is the interval (-ā,ā). This provides a theoretical basis for the successful applications of the fractal transform algorithms in signal/image encoding.
Cheng, Bing, Zhu, Xiaokun
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