Introduction. Seismic data are often sparsely or irregularly sampled along one or more spatial axes. Irregular sampling can produce artifacts in seismic imaging results, thus multidimensional interpolation of seismic data is often a key processing step in exploration seismology. Many solution methods have appeared in the literature: for instance in Spitz (1991), Sacchi (2000) it was proposed to...

Minimal degree interpolation spaces with respect to a nite set of points are subspaces of multivariate polynomials of least possible degree for which Lagrange interpolation with respect to the given points is uniquely solv-able and degree reducing. This is a generalization of the concept of least interpolation introduced by de Boor and Ron. This paper investigates the behavior of Lagrange inter...

the gravity recovery and climate experiment (grace), twin satellites launched in march 2002, are making detailed measurements of the earth's gravity field. it will yield discoveries about gravity and the earth's natural systems. different sensors and instruments have been placed in the grace satellites to fulfill the primary scientific objective of the mission in mapping the earth’s g...

background: asthma is a multifactorial disease and its severity varies with the inflammatory grade. there are conflicting reports about the roles of trace elements in asthma. this study examined the effects of zinc (zn), copper (cu), and selenium (se) concentrations in sera of patients with allergic asthma attending ghaem hospital, mashhad, iran. methods: forty-nine patients, aged 10 to 50 year...

background: the method of proton induced x-ray emission (pixe) has been widely used as a sensitive technique to trace elemental analysis in both biological and medical fields. the sensitivity of this powerful method is in the order of ppm .the aim of this work is to analyze structural composition of 4 heavy trace elements with z greater than 24 (mn, fe, cu, zn) in two kinds of gallstones and to...

Smoothness is a desirable characteristic of interpolated zero curves; not only is it intuitively appealing, but there is some evidence that it provides more accurate pricing of securities. This paper outlines the mathematics necessary to understand the smooth interpolation of zero curves, and describes two useful methods: cubic-spline interpolation—which guarantees the smoothest interpolation o...

The interpolation techniques for the time-of-flight estimation have been under study. The ToF estimation was done using the direct correlation technique of the sampled signal. More accurate estimation was done using interpolation between the samples. Three interpolation techniques for discrete direct correlation are discussed: linear interpolation of zero crossing, imaginary part of direct corr...

We discuss linear methods for interpolation, including nearest neighbor, bilinear, bicubic, splines, and sinc interpolation. We focus on separable interpolation, so most of what is said applies to one-dimensional interpolation as well as N-dimensional separable interpolation. Source Code The source code (ANSI C), its documentation, and the online demo are accessible at the IPOL web page of this...

Spatial interpolation of rain gauge data is important in forcing of hydrological simulations or evaluation of weather predictions, for example. This paper investigates the application of statistical distance, like one minus common variance of observation time series, between data sites instead of geographical distance in interpolation. Here, as a typical representative of interpolation methods ...