We propose a novel method for constructing wavelet transforms of functions defined on the vertices of an arbitrary finite weighted graph. Our approach is based on defining scaling using the graph analogue of the Fourier domain, namely the spectral decomposition of the discrete graph Laplacian L. Given a wavelet generating kernel g and a scale parameter t, we define the scaled wavelet operator T...

This paper presents an empirical comparison of strategies for representing motion trajectories with fixed-length vectors. We compare four techniques, which have all previously been adopted in the trajectory classification literature: least-squares cubic spline approximation, the Discrete Fourier Transform, Chebyshev polynomial approximation, and the Haar wavelet transform. We measure the class ...

An innovative numerical procedure for solving the viscoelastic column problem based on fractional rheological models, directly in time domain, is investigated. Firstly, governing equation established according to constitutive relation. Secondly, resulting transformed into algebraic and solved by using shifted Chebyshev wavelet function. Furthermore, convergence analysis retained benchmarks are ...