In this paper, the relationship between the filter coefficients and the scaling and wavelet functions of the Discrete Wavelet Transform is presented and exemplified from a practical point-of-view. The explanations complement ...

Time-Frequency localization or concentration principles are fundamental concepts of signal processing and related fields. We shall prove some simultaneous localization or concentration inequalities for the ContinuousWavelet ...

In this paper the development of the Sub-pixel gray-scale Hough transform as a method of detecting the positions of lines is presented. The algorithm is part of an electronic interface created for the Nikon 6B/6D autocollimator. ...

We study the scaling properties of Fisher's information measure (FIM) and show that from these one can straightforwardly deduce significant quantum-mechanical results. Specifically, we investigate the scaling properties ...

Because scaling symmetries of the Euler–Lagrange equations are generally not variational symmetries of the action, they do not lead to conservation laws. Instead, an extension of Noether’s theorem reduces the equations ...