English to Russian Tech/Engineering Mathematics & Statistics

For example, the computer system 151 can utilize Singular Value Decomposition or Fourier domain decomposition or a projection on convex sets (POCS) algorithm such as that taught by Abma and Kabir, 2006 (i.e., 3D interpolation of irregular data with a POCS algorithm, Ray Abma and Nurul Kabir, 2006, Geophysics, 71, E9), the disclosure of which is incorporated herein by reference. If n volumes are provided as input and each of those volumes is further decomposed into m volumes, it would result in m x n volumes. The decomposition would make the process fairly expensive; nevertheless, it could have its own merits with some data sets.

[0060] As was mentioned previously, pre-processing can be performed before the images are processed. One option would be to decompose the image in the Fourier domain. This can be useful when selection or rejection of the entire volume/image is not desirable but, instead, where use of only parts of the volume/image is desired. In the instant example, there are six different input images. It is desirable, for purposes of the instant example, to further decompose each of these into four different images.