Abstract In this paper, we extendthe structure-preserving interpolatory model reduction framework, originally developed for linear systems, to structured bilinear control systems. Specifically, give explicit construction formulae the bases satisfy different types of interpolation conditions. First, establish analysis transfer function single-input single-output Then, extend these results case m...

Image zooming is the process of enlarging the spatial resolution of a given digital image. We present a novel technique that intelligently modifies the classical pixel replication method for zooming. Our method decomposes a given image into layer of binary images, interpolates them by magnifying the binary patterns preserving their geometric shape and finally aggregates them all to obtain the z...

Sobolev orthogonality has been studied for years. For different families of polynomials, there exist several results about recurrence relations, asymptotics, algebraic and differentation properties, zeros, etc. (see, for instance, Alfaro et al. (1999), Jung et al. (1997), Kwon and Littlejohn (1995, 1998), Marcellán et al. (1996), Pérez and Piñar (1996)); but there exist very few results establi...

Image magnification algorithms directly affect the quality of image magnification. In this paper, based on the image interpolation algorithm principle, features of the nearest neighbor interpolation, bilinear interpolation, bicubic interpolation and cubic B spline interpolation were analyzed. At the same time, their advantages and disadvantages were compared. In the experiment, image magnificat...

Conventional image interpolation methods such as the bilinear and bicubic algorithms determine the weights of the reference pixels based on the special distance between the supplementary pixel and the reference pixels. They suffer from some problems such as blurring and jagging around the edges since the edge structure is not considered in interpolation. In this paper, a coordinate rotation and...

This paper presents a pipelined architecture for the hierarchical block-matching motion estimation algorithm (HBMA). The hierarchical style leads enormous computation and complex data flow between hierarchy levels. Each stage of the proposed architecture consists of a systolic array for block-matching and an interpolation unit for bilinear interpolation. The interpolation unit regulates also th...

We outline the super-resolution reconstruction problem posed as a maximization of probability. We then introduce an interpolation method based on polygonal pixel overlap, express it as a linear operator, and use it to improve reconstruction. Polygon interpolation outperforms the simpler bilinear interpolation operator and, unlike Gaussian modeling of pixels, requires no parameter estimation. A ...

We propose a new interpolatory framework for model reduction of largescale bilinear systems. The input-output representation of a bilinear system in frequency domain involves a series of multivariate transfer functions, each representing a subsystem of the bilinear system. If a weighted sum of these multivariate transfer functions associated with a reduced bilinear system interpolates a weighte...

Successful image interpolation requires proper enhancement of high frequency content of image pixels around edges. In this paper, we introduce a simple edge model to estimate high resolution edge profiles from lower resolution values. Pixels around edges are viewed as samples taken from one dimensional (1-D) continuous edge profiles according to 1D smooth edge contours defining the sampling ins...