Improving pattern reconstruction using directional correlation functions

¹ CSIRO Land and Water - Glen Osmond, PB2, SA 5064, Australia
² Institute of Geosphere Dynamics of the Russian Academy of Sciences - Leninsky prosp. 38/1, 119334, Moscow, Russia
³ AIR Technology - Leniskie gory 1/77, 119234, Moscow, Russia
⁴ Geology Faculty of Lomonosov Moscow State University - Leniskie gory 1, 119234, Moscow, Russia

^(a) kirill.gerke@csiro.au

Received: 4 April 2014
Accepted: 28 May 2014

Abstract

In this letter we introduce a new method to calculate correlation functions in four principal directions (i.e. two orthogonal and two diagonal) and separately utilize them for image reconstruction. We show that this method is particularly suitable for anisotropic porous media but that it also improves image reconstruction for isotropic structures. Based on the analysis of numerous reconstructions of four binary patterns using different sets of two-point probability and linear (for both phases) correlation functions, we quantify the accuracy of each set. Averaging of correlation functions in all directions almost always results in poorer reconstructions. Addition of separate directions significantly improves the quality of replicas with only a minor increase in computational effort.