scholarly journals ECG compression with Douglas-Peucker algorithm and fractal interpolation

2021 ◽  
Vol 18 (4) ◽  
pp. 3502-3520
Author(s):  
Hichem Guedri ◽  
◽  
Abdullah Bajahzar ◽  
Hafedh Belmabrouk ◽  
◽  
...  
Keyword(s):  
Fractal Interpolation ◽  
Ecg Compression

Controllable and realistic terrain synthesis based on feature sketch and fractal interpolation

2013 ◽  
Vol 33 (2) ◽  
pp. 519-521
Author(s):  
Jidong WANG ◽  
Ruibin ZHAO ◽  
Mingyong PANG
Keyword(s):  
Fractal Interpolation

scholarly journals Study on the propagation velocity of methane/air pleated flames based on image processing and fractal interpolation

AIP Advances ◽  
2021 ◽  
Vol 11 (6) ◽  
pp. 065228
Author(s):  
Haiyan Wang ◽  
Lei Zhang ◽  
Junpeng Zhang ◽  
Peipei Wang ◽  
Lang Hu ◽  
...  
Keyword(s):  
Image Processing ◽  
Propagation Velocity ◽  
Fractal Interpolation

scholarly journals A Concretization of an Approximation Method for Non-Affine Fractal Interpolation Functions

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 767
Author(s):  
Alexandra Băicoianu ◽  
Cristina Maria Păcurar ◽  
Marius Păun
Keyword(s):  
Approximation Method ◽  
Finite System ◽  
Countable System ◽  
Fractal Interpolation ◽  
Interpolation Function ◽  
Finite Systems ◽  
Fractal Interpolation Function ◽  
Fractal Interpolation Functions ◽  
Finite Set ◽  
Interpolation Functions

The present paper concretizes the models proposed by S. Ri and N. Secelean. S. Ri proposed the construction of the fractal interpolation function(FIF) considering finite systems consisting of Rakotch contractions, but produced no concretization of the model. N. Secelean considered countable systems of Banach contractions to produce the fractal interpolation function. Based on the abovementioned results, in this paper, we propose two different algorithms to produce the fractal interpolation functions both in the affine and non-affine cases. The theoretical context we were working in suppose a countable set of starting points and a countable system of Rakotch contractions. Due to the computational restrictions, the algorithms constructed in the applications have the weakness that they use a finite set of starting points and a finite system of Rakotch contractions. In this respect, the attractor obtained is a two-step approximation. The large number of points used in the computations and the graphical results lead us to the conclusion that the attractor obtained is a good approximation of the fractal interpolation function in both cases, affine and non-affine FIFs. In this way, we also provide a concretization of the scheme presented by C.M. Păcurar .

scholarly journals An analysis of COVID-19 spread based on fractal interpolation and fractal dimension

2020 ◽  
Vol 139 ◽  
pp. 110073 ◽  
Author(s):  
Cristina-Maria Păcurar ◽  
Bogdan-Radu Necula
Keyword(s):  
Fractal Dimension ◽  
Fractal Interpolation

CONSTRUCTING MULTIPLE WAVELET PACKETS WITH FIFS

Fractals ◽  
2001 ◽  
Vol 09 (02) ◽  
pp. 165-169
Author(s):  
GANG CHEN ◽  
ZHIGANG FENG
Keyword(s):  
Multiresolution Analysis ◽  
Wavelet Packet ◽  
Wavelet Packets ◽  
Scaling Functions ◽  
Wavelet Packet Decomposition ◽  
Fractal Interpolation ◽  
Fractal Interpolation Functions ◽  
Interpolation Functions

By using fractal interpolation functions (FIF), a family of multiple wavelet packets is constructed in this paper. The first part of the paper deals with the equidistant fractal interpolation on interval [0, 1]; next, the proof that scaling functions ϕ1, ϕ2,…,ϕr constructed with FIF can generate a multiresolution analysis of L2(R) is shown; finally, the direct wavelet and wavelet packet decomposition in L2(R) are given.

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