Two-Dimensional Textures and Prediction-Error Filters

For many years it has been true that our most powerful signal-analysis techniques are in one-dimensional space, while our most important applications are in multi-dimensional space. The helical coordinate system introduced by Claerbout (Geophysics, 1998, vol 63, no 5) makes a giant step towards overcoming this difficulty. Figure 1 shows how convolution in two dimensions is equivalent to that in one dimension.