In this paper, we focus on model reduction of large-scale bilinear systems. The main contributions are threefold. First, we introduce a new framework for interpolatory model reduction of bilinear systems. In contrast to the existing methods where interpolation is forced on some of the leading subsystem transfer functions, the new framework shows how to enforce multipoint interpolation of the un...

In this paper, an adaptive edge enhancement technique is proposed for two-dimensional (2-D) image scaling application. The anticipated image scaling algorithm consists of an edge detector, bilinear interpolation and sobel filter. The bilinear interpolation defines the intensity of the scaled pixel with the weighted average of the four nearest neighboring pixels, interpolated images become smoot...

In this paper, pipelining concepts is adopted to increase the processing speed of image scaling algorithms. The proposed algorithm consists of pipelining stages along with a linear space-variant edge detector, a low complicacy sharpening spatial filter, and a simplified bilinear interpolation. The linear space-edge detector is used to discover the image edges by a lowcost catching technique. Th...

This is a color gure] 2. The Red and Green components of a 1D image. 3. The Red and Green components painted as surfaces in x; y; I with the inverse diiusion (across the edge) and diiusion (along the edge) directions. Original image (before sampling) Reconstruction (bilinear interpolation) Reconstruction (weighted interpolation) Enhancement Original image (before sampling) Reconstruction (bilin...

medical image registration methods which use mutual information as similarity measure have been improved in recent decades. mutual information is a basic concept of information theory which indicates the dependency of two random variables (or two images). in order to evaluate the mutual information of two images their joint probability distribution is required. several interpolation methods, su...

Well log is a data manifestation of geographical, chemical, physical and other information detected in different geological environment and formation condition by means of different well log methods. Aiming at the noise existing in well log signal and the property of its morphological characteristics and combining and analyzing bilinear interpolation algorithm and the theory of wavelet transfor...

Warping, also known as Control Grid Interpolation, estimates intensities in the present frame through an interpolation of motion vectors { typically with bilinear interpolation. This paper presents a method for computing optimal interpolation parameters for warping prediction. Conventional bilinear warping, while mostly eeective, has been known to exhibit unreliable performance in certain situa...

This paper can be considered as the sequel of [6], where the authors have proposed an abstract construction of Hardy spaces H. They shew an interpolation result for these Hardy spaces with the Lebesgue spaces. Here we describe a more precise result using the real interpolation theory and we clarify the use of Hardy spaces. Then with the help of the bilinear interpolation theory, we then give ap...

In this paper we proposed fast and accurate interpolation and resizing of images using lifting scheme approach. 5/3 lifting scheme is an accurate and computationally inexpensive interpolation technique for image resizing. We compared the bilinear interpolation, Haar lifting scheme and 5/3 lifting scheme in this paper. The lifting scheme algorithm is applied for image interpolation to resize the...