Abstract: A computational procedure for generating three-dimensional nonorthogonal surface-fitted mesh systems around wing-fuselage configurations is presented. The method is based on the concept of transfinite interpolation, which has been extended to handle very general mapping function specifications at the boundaries, thereby making it possible to generate single-block mappings with geometry data specified only at the outer boundaries of the computational domain. Since it is a direct algebraic mapping technique, the method is very inexpensive in terms of computer cost. Different types of possible mappings are compared with respect to resolution and economy of nodal points. A procedure for a novel type of mapping, designated type O-O, is described and several plots of generated grids demonstrate the capabilities of the method. The singular lines inherent in every three-dimensional mesh for this type of surface geometry are also discussed.

Abstract: A two-dimensional interpolation of image data is pro­ vided for a video display system, in which a one-dimensional interpolator performs the interpolation in both dimensions with data flow control so that images can be transmitted, scaled and displayed in real time.

Abstract: This document contains the specifications for PCHIP, a new Fortran package for piecewise cubic Hermite interpolation of data. It features software to produce a monotone and visually pleasing interpolant to monotone data. Such an interpolant may be more reasonable than a cubic spline if the data contains both steep and flat sections. Interpolation of cumulative probability distribution functions is another application.

Abstract: Gordon [3], [4] introduced the Boolean method of multivariate interpolation. In the two-dimensional case Delvos-Posdorf [2] considered interpolation projectors which are Boolean sums of R tensor product Lagrange interpolation projectors. In this paper these R-th order projectors are used to construct cubature formulas of interpolatory type. For these cubature formulas we determine the degree of polynomial exactness. As an application the minimum point formulas of Morrow-Patterson [8] are constructed by Boolean methods.

Abstract: In this paper we will discuss some trivariate polynomial interpolation schemes which are related to the method of transfinite trivariate blending function interpolation introduced by GORDON [6]. In particular we will derive explicit remainders for these interpolation schemes.

Abstract: The aim of this paper is to consider the interpretation of limited data sets to represent functions which are bandlimited. It is shown that limited data leads to a degree of non-uniqueness of interpolation and extrapolation that only the imposition of a priori constraints can reduce. An approach is described to enable a priori information to be incorporated in a Fourier reconstruction scheme.

Abstract: In this paper, an interpolation method based on B-spline functions is used in image reconstruction. First, an elementary review of B-spline function interpolation theory is given. Next, the influence of the boundary conditions assumed here on the interpolation of filtered projections and also on the image reconstruction is discussed. It is shown that this boundary condition has almost no influence on the image in the central region of the image space, because the error of the interpolation decreases rapidly - indeed, by a factor of ten in shifting two pixels from the edge toward the center. The implementation results show that the computational cost for the interpolation using this algorithm is about one-tenth that of the same subjective and objective fidelity as the conventional algorithm.© (1982) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.