We present a technique for efficiently generating photo-realistic pictures of halos and inserting them into existing photographs. First, we describe an algorithm for producing images of halos from physical parameters either coming from existing photographs or supplied by the user. The problem with the resulting images is that they are sampled in a non-uniform way. Then, we propose a specific al...

Scalar diffraction calculations, such as the angular spectrum method (ASM) and Fresnel diffraction, are widely used in the research fields of optics, x rays, electron beams, and ultrasonics. It is possible to accelerate the calculation using fast Fourier transform (FFT); unfortunately, acceleration of the calculation of nonuniform sampled planes is limited due to the property of the FFT that im...

This paper discusses the effect of nonuniform varying communication delay on distributed consensus algorithms in discrete time. After introducing the delayed mathematical model, we first investigate the ergodicity of the delayed system using the properties of scrambling matrices. Subsequently, the effect of nonuniform varying delay on convergence is examined. It is shown theoretically that nonu...

The paper considers some concepts of nonuniform asymptotic stability for skew-evolution semiflows on Banach spaces. The obtained results clarify differences between the uniform and nonuniform cases. Some examples are included to illustrate the results.

The aim of this paper is to present necessary and sufficient conditions for nonuniform power instability property of linear discrete-time systems in Banach spaces. A characterization of the nonuniform power instability in terms of Lyapunov sequences is also given.

In the present paper, the problem of externally excited exponential transmission line hasbeen solved analytically in frequency domain using a simple approach. Then steplines approximationas a first order approximation for the problem of externally excited nonuniform transmission lines ingeneral and exponentially tapered transmission line (ETL) as a special case has been presented.Finally the tw...