Ridge extraction algorithms for one-dimensional continuous wavelet transform: a comparison

Ridge extraction algorithms for one-dimensional continuous wavelet transform: a comparison

Analyzing laser plasma interferograms with a continuous wavelet transform ridge extraction technique: the method.

Laser plasma interferograms are currently analyzed by extraction of the phase-shift map with fast Fourier transform (FFT) techniques [Appl. Opt. 18, 3101 (1985)]. This methodology works well when interferograms are only marginally affected by noise and reduction of fringe visibility, but it can fail to produce accurate phase-shift maps when low-quality images are dealt with. We present a novel ...

Continuous Wavelet Transform for Time-Varying Motion Extraction

Widespread use of digital multimedia data has led to the development of advanced processing techniques for them. Motion estimation is a fundamental step in the extraction of activity in videos, for tracking, motion segmentation, video classification and other applications. One large category of methods processes data in the spatial domain, and another in the frequency domain. This paper present...

Fringe pattern analysis using a one-dimensional modified Morlet continuous wavelet transform

This paper proposes the use of a modified Morlet wavelet in order to demodulate fringe patterns in conjunction with the one-dimensional continuous wavelet transform (1D-CWT). Our investigations demonstrate that the modified Morlet wavelet produces better results compared to the conventional Morlet wavelet when used in fringe pattern analysis. This novel technique offers superior performance in ...

Fast Quasi-Continuous Wavelet Algorithms for Analysis and Synthesis of One-Dimensional Signals

The wavelet transform is a widely used time-frequency tool for signal processing. However, with some rare exceptions, its use in signal processing is limited to discrete-time critically sampled transforms, which are particular cases of subband coding. On the other hand, interest in continuous wavelet analyses has been repeatedly demonstrated in the literature. However, implementation challenges...