Continuous Wavelet Transform (CWT) Algorithm




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Continuous Wavelet Transform (CWT) Algorithm
: This algorithm 
involves analyzing road profile data using a continuous wavelet transform that 
can detect local changes in the road profile at different scales. CWT can be used 
to detect defects such as holes and cracks that occur at different depths and 
sizes. 


Sun’iy intelekt, axborot xavfsizligi texnikasi va texnologiyalari 
Международная научно-техническая конференция «Практическое применение технических и 
цифровых технологий и их инновационных решений», ТАТУФФ, Фергана, 4 мая 2023 г. 
575
Empirical Mode Decomposition (EMD) algorithm: 
This algorithm 
involves decomposing road profile data into intrinsic mode functions using the 
EMD method. EMD may be used to identify the dominant frequencies and 
modes of the road profile, which can help identify defects such as dents and 
cracks. These algorithms can be used individually or together to accurately 
identify defective sections of highways using Fourier series analysis[1]. 
 
Fig.1. The disorders of the way 
By analyzing the Fourier coefficients, it is possible to determine the 
frequency composition of the signal and determine the presence of specific 
frequencies and their relative amplitudes. This information may be used to 
perform various signal-processing tasks such as filtering, compression, and 
noise reduction[2]. 
We will look at the creation of a Discrete Fourier Transform 3D graph of 
a defective road image using the ImageJ program. As input, we take an image of 
an arbitrary defective path (Fig. 1) 
Start the Process menu from the ImageJ program menu, select the Fast 
Fourier Transform (FFT) menu, this results in the following Fourier 
representation of the image. 
 

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Continuous Wavelet Transform (CWT) Algorithm

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