Single-chip digital cameras use an array of broadspectrum Charge-Coupled Devices (CCD) overlayed with a colour filter array. The filter layer consists of transparent patches of red, green and blue, such that each CCD pixel captures one of these primary colours. To reconstruct a colour image at the full CCD resolution, the ‘missing’ primary values have to be interpolated from nearby samples. We ...

In this paper, we will discuss the problem of optimal model order reduction of bilinear control systems with respect to the generalization of the well-known H2norm for linear systems. We revisit existing first order necessary conditions for H2-optimality based on the solutions of generalized Lyapunov equations arising in bilinear system theory and present an iterative algorithm which, upon conv...

In this paper, we present a general framework to construct recurrent fractal interpolation surfaces (RFISs) on rectangular grids. Then introduce bilinear RFISs, which are easy be generated while there no restrictions points and vertical scaling factors. We also obtain the box dimension of RFISs under certain constraints, where main assumption is that factors have uniform sums compatible partiti...

Methods for the numerical inversion of a Laplace transform F(s) which use a special bilinear transformation of s are particularly eeective in many cases and are widely used. The main purpose of this paper is to analyze the convergence and conditioning properties of a special class of such methods, characterized by the use of Lagrange interpolation. The results derived apply both to complex and ...

Screen content coding (SCC) is becoming increasingly important in various applications, such as desktop sharing, video conferencing, and remote education. When compared to natural cameracaptured content, screen content has different characteristics, in particular sharper edges. In this paper, we propose a novel intra prediction scheme for screen content video. In the proposed scheme, bilinear i...

We proposed an intensity-based morphological pyramid image registration algorithm. This approach utilizes the global affine transformation model, also considering radiometric changes between images. With the morphological pyramid structure, Levenberg-Marquardt optimization, and bilinear interpolation, this algorithm can be implemented hierarchically and iteratively with capability of measuring,...

Laplace–Beltrami operator and its discretization play a central role in the fields of image processing, computer graphics, computer aided geometric design and so on. In this paper, a discrete scheme for Laplace–Beltrami operator over quadrilateral meshes is constructed based on a bilinear interpolation of the quadrilateral. Convergence results for the proposed discrete scheme are established un...