In this paper, we present an interpolation framework for structure-preserving model order reduction of parametric bilinear dynamical systems. We introduce a general setting, covering broad variety different structures systems, and then provide conditions on projection spaces the structured subsystem transfer functions such that system structure parameter dependencies are preserved in reduced-or...

Slice interpolation is a fast growing field in medical image processing. Intensity-based interpolation and objectbased interpolation are two major groups of methods in the literature. In this paper, we describe an object-oriented, optimization method based on a modified version of curvature-based image registration, in which a displacement field is computed for the missing slice between two kno...

Linear interpolation is the standard image blending method used in image compositing. By averaging in the dynamic range, it reduces contrast and visibly degrades the quality of composite imagery. We demonstrate how to correct linear interpolation to resolve this longstanding problem. To provide visually meaningful, high level control over the compositing process, we introduce three novel image ...

This paper demonstrates the use of shape-preserving exponential interpolation in a characteristic based numerical scheme for the solution of the linear advective-diiusion equation. The results from this scheme are compared with results from a number of numerical schemes in current use using test problems in one-and two-dimensions. These test cases are used to assess the merits of using shape-pr...

This paper is concerned with the nonnegativity preserving interpolation of data on rectangular grids. The function is a kind of bivariate rational interpolation spline with parameters, which is C1 in the whole interpolation region. Sufficient conditions are derived on coefficients in the rational spline to ensure that the surfaces are always nonnegative if the original data are nonnegative. The...

This paper presents two finite-volume (FV) schemes for solving linear transport problems on the cubedsphere grid system. The schemes are based on the central-upwind finite-volume (CUFV) method, which is a class of Godunov-type method for solving hyperbolic conservation laws, and combines the attractive features of the classical upwind and central FV methods. One of the CUFV schemes is based on ...

In this paper, we propose an image reconstruction method utilizing an optimized adaptive interpolation kernel along with a 2D M-channel perfect reconstruction filter bank(M-ch PR-FB) structure. In particular, the proposed approach leads to sharper reconstructed images than a direct conversion, still preserving high frequency components of the original image by employing the subband processing o...