Volume 106, Number 6, June 2014
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||17 June 2014|
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
Received: 4 April 2014
Accepted: 28 May 2014
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.
PACS: 61.43.Bn – Structural modeling: serial-addition models, computer simulation / 05.20.-y – Classical statistical mechanics / 61.43.Gt – Powders, porous materials
© EPLA, 2014
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