We consider model order reduction of bilinear descriptor systems using an interpolatory projection framework. Such nonlinear descriptor systems can be represented by a series of generalized linear descriptor systems (also called subsystems) by utilizing the Volterra-Wiener approach [22]. Standard projection techniques for bilinear systems utilize the generalized transfer function of these subsy...

Image magnification is among the basic image processing operations and has many applications in a various area. In recent, multimedia techniques have advanced to provide various multimedia data that were digital images and VOD. It has been rapidly growing into a digital multimedia contents market. In education, many researches have used elearning techniques. Various equipments image equipments,...

Image resolution enhancement is a usable process for many image processing applications such as geoscience studies, astronomy and geographical information systems. Image interpolation is popularly used to increase the image resolution, but the potential problem associated with it is to magnify the image many times without loss in image clarity. Most of the classical linear interpolation techniq...

We propose a novel image interpolation method for resolution enhancement of still images. The approach consists of a nonlinear mapping from pixel index space to color space based on the low-resolution image so that non-integral pixel indices in a super-sampling can be mapped to colors, i.e., interpolated. This nonlinear mapping is based on an extensor transformation of 2D pixel indices to an N-...

We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear Hörmander class BS 1,δ, 0 ≤ δ < 1. The proof uses a reduction to bilinear elementary symbols and Littlewood-Paley theory.

A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen, Marcinkiewicz, and Zygmund theorem is obtained. Conditions that characterize the boundedness of this multivariable operator on products of weighted Lebesgue spaces equipped with multiple weights are obtained. Results for other multi(sub)linear m...

We present a new algorithm for rescaling images inspired by fractal coding. It uses a statistical model of the relationship between detail at different scales of the image to interpolate detail at one octave above the highest spatial frequency in the original image. We compare it with Bspline and bilinear interpolation techniques and show that it yields a sharper looking rescaled image.

The quon algebra describes particles, “quons,” that are neither fermions nor bosons, using a label q that parametrizes a smooth interpolation between bosons (q = 1) and fermions (q = −1). Understanding the relation of quons on the one side and bosons or fermions on the other can shed light on the different properties of these two kinds of operators and the statistics which they carry. In partic...

The convergence analysis of the bilinear finite element method to a class of non-linear degenerate wave equation on anisotropic meshes is considered in this paper. Moreover, the global superconvergence for semidiscrete scheme is proposed through interpolation instead of the Ritz Volterra projection of the exact solution.

Interpolatory projection methods for model reduction of nonparametric linear dynamical systems have been successfully extended to nonparametric bilinear dynamical systems. However, this is not the case for parametric bilinear systems. In this work, we aim to close this gap by providing a natural extension of interpolatory projections to model reduction of parametric bilinear dynamical systems. ...