This paper describes a new way to compute the optic flow, based on a discrete wavelet basis analysis. The optic flow is estimated locally by the projection of the differential optic flow equation onto wavelets. The resulting linear systems are small and of fixed size (3-5 equations). They are solved to find out the visual displacement. In this way, we circumvent the classical problems of time a...

Problem statement: The synthesis of a command by the neural network has an excellent advantage over the classical one such as PID. This study presented a fast and accurate Wavelet Neural Network (WNN) approach for efficient controlling of an Active Magnetic Bearing (AMB) system. Approach: The proposed approach combined neural network with the wavelet theory. Wavelet theory may be exploited in d...

In this paper, we introduce a wavelet method for the description, approximation, analysis and simulation of optical surfaces. We describe the new method and show results of several numerical experiments for relevant applications in optics. We focus on three main aspects. First, we describe a highly accurate representation of smooth optical surfaces in terms of a B-spline quasi-interpolant. This...

geospatial information system (gis) has emerged as a very powerful tool for capturing, storing, analyzing, managing, and presenting data that is linked to location. the location information, which is usually obtained from existing maps or the global positioning systems (gps), refers to different coordinate and map projection systems. therefore, unification of the coordinate and mapping systems ...

This paper investigates the problem of image reconstruction of compressed sensing. First, an improved smoothed l0 norm (ISL0) algorithm is proposed by using modified Newton method to improve the convergence speed and accuracy of classical smoothed l0 norm (SL0) algorithm, and to increase calculation speed and efficiency. The choice of algorithm parameter is discussed and the algorithm convergen...

In principle it is well known that for sufficiently nice wavelet functions the regularity of the wavelet transform allows to recover any L-function from its samples over any sufficiently dense, irregular sampling set. Equivalently, the (irregular) set of affine transforms of the given wavelet function forms a frame for L(R). In the present paper a systematic treatment of sufficient conditions f...

While finite non-commutative operator systems lie at the foundation of quantum measurement, they are also tools for understanding geometric iterations as used in the theory of iterated function systems (IFSs) and in wavelet analysis. Key is a certain splitting of the total Hilbert space and its recursive iterations to further iterated subdivisions. This paper explores some implications for asso...

Signal de-noising is one of the classical problems in the field of signal processing. As a new signal processing tools, wavelet analysis, which has excellent noise performance, has caused growing concern and attention. The wavelet threshold de-noising has been researched systematacially, and the wavelet de-noising method is used on the GPS signal, which has achieved very good results.

The paper presents computations of decaying two{dimensional turbulence in an adaptive wavelet basis. At each time step the vorticity is represented by an adaptively selected set of wavelet functions which adjusts to the instantaneous distribution of vorticity. The results of this new algorithm are compared to a classical Fourier method and a Fourier method supplemented with wavelet compression ...

Time series measured from real spatially extended systems are generally noisy, complex and display statistical properties that evolve continuously over time. Here, we present a method that combines wavelet analysis and non-stationary surrogates to detect spatial coherent patterns in nonstationary multivariate time-series. In contrast with classical methods, the surrogate data used here are real...