Indicator Kriging without Order Relation Violations

Image Thresholding by Indicator Kriging

ÐWe consider the problem of segmenting a digitized image consisting of two univariate populations. Assume a priori knowledge allows incomplete assignment of voxels in the image, in the sense that a fraction of the voxels can be identified as belonging to population 0, a second fraction to 1, and the remaining fraction have no a priori identification. Based upon estimates of the short length sca...

Truncated Gaussian Kriging as an Alternative to Indicator Kriging

Truncated Gaussian simulation (TGS) and plurigaussian simulation (PGS) are widely accepted methods for generating realisations of geological domains (lithofacies) that reproduce contact relationships. The realisations can be used to evaluate transfer functions related to the lithofacies occurrence, the simplest ones of which are the probability of occurrence of each lithofacies and the most pro...

A Compositional Approach to Indicator Kriging

Instead of using indicator kriging to estimate discrete versions of cumulative distribution functions, with its order-relation problems, we suggest a compositional approach to the estimation of probability functions. A preliminary Bayesian treatment is needed to obtain estimates of the pdf (without zeroes) at sampled locations, and afterwards an isometric log-ratio transform provides unbounded ...

Mapping Spatial Thematic Accuracy Using Indicator Kriging

Determination of Ore/Waste Boundary Using Indicator Kriging, Case Study: Choghart Iron Mine of Iran

Estimation of ore reserves is one of the most critical aspects of mining geology. The accurate assessment of the tonnage and grade of run of mine may be the difference between a healthy profitable operation and an expensive early mine closure. The first step in ore reserve estimation is to determine the boundary of ore body or ore/waste contacts. This paper presents a specific mining applicatio...