| 摘要 |
A method for interpolating data. The method includes receiving data acquired at one or more locations where the data represents subterranean formations in the earth. The method also includes selecting one or more of the locations such that the selected locations are within a vicinity of an interpolation location. Next, the method includes forming a matrix of interpolation coefficients based on a first function having one or more interpolation variables, a bandwidth for an interpolation operator and one or more differences between the selected locations, wherein at least one of the interpolation variables is periodic. The method then includes forming a differences vector based on a second function having the interpolation variables, the bandwidth and one or more differences between the selected locations and the interpolation location. Using the matrix of interpolation coefficients and the differences vector, the method then forms an interpolation operator vector by applying an inverse of the matrix of interpolation coefficients to the differences vector. The method then estimates a data value for the interpolation location using the interpolation operator vector. |
