Image processing of multiphase images obtained via X-ray microtomography: A review
TL;DR: In this article, the authors focus on multiclass segmentation and detailed descriptions as to why a specific method may fail together with strategies for preventing the failure by applying suitable image enhancement prior to segmentation.
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Abstract: Easier access to X-ray microtomography (μCT) facilities has provided much new insight from high-resolution imaging for various problems in porous media research. Pore space analysis with respect to functional properties usually requires segmentation of the intensity data into different classes. Image segmentation is a nontrivial problem that may have a profound impact on all subsequent image analyses. This review deals with two issues that are neglected in most of the recent studies on image segmentation: (i) focus on multiclass segmentation and (ii) detailed descriptions as to why a specific method may fail together with strategies for preventing the failure by applying suitable image enhancement prior to segmentation. In this way, the presented algorithms become very robust and are less prone to operator bias. Three different test images are examined: a synthetic image with ground-truth information, a synchrotron image of precision beads with three different fluids residing in the pore space, and a μCT image of a soil sample containing macropores, rocks, organic matter, and the soil matrix. Image blur is identified as the major cause for poor segmentation results. Other impairments of the raw data like noise, ring artifacts, and intensity variation can be removed with current image enhancement methods. Bayesian Markov random field segmentation, watershed segmentation, and converging active contours are well suited for multiclass segmentation, yet with different success to correct for partial volume effects and conserve small image features simultaneously.
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Figures

Figure 3. (a) normalized objective function of Otsu’s method (G1) with the thresholds detected at the maximum between-class variance and the transition regions stopping at the 0.992 percentile. (b) Histogram of ÎNL1UM after ring artifact removal with thresholds tmax0 and t max 1 and transition ranges (½tl0; th0 and ½tl1; th1 ) detected with Otsu’s method (G1). (c) Threshold pairs for five different methods (G1–G5) and the corresponding averages after outlier removal (G6). The transition regions ½tl½0;1 ; th½0; 1 are obtained accordingly. (d) Same averaging method after edge masking and histogram clipping. 
Figure 6. Workflow diagram for multiclass segmentation of the remaining multifluid image and soil image. Headlines denote image processing steps and gray boxes the specific methods. 
Figure 11. Iterative algorithm to identify a truely bimodal histogram at high gray values in the soil image. 
Figure 12. Gradient histogram computed on a Sobel image of ÎNL1UM for the synthetic image. Each unimodal histogram has a unique point of maximum curvature and maximum distance from the auxiliary line depicted in the inset. In addition, the shoulder in the histogram produces a local minimum, which can be detected as well. 
Figure 1. (a) True image I with spheres and size-dependent distribution of wetting and nonwetting phase, (b) raw image I0 exhibiting ring artifacts, blur and noise, (c) histograms before and after image enhancement. (bottom row) Image enhancement results with different denoising methods in combination with unsharp masking: (d) ÎMD1UM , (e) ÎAD1UM , (f) ÎTV1UM , and (g) ÎNL1UM . 
Figure 2. (a) Test image after a combination of TV denoising and unsharp masking ÎTV1UM (corresponds to Figure 1f). Yellow frame marks sharp boundaries before ring artifact removal and the green ring corresponds to the window in polar coordinates. (b) Same image in polar coordinates after line removal. Green rectangle depicts the moving windowW. (c) Same image after ring artifact removal. The yellow frame highlights blur due to the back transform into Cartesian coordinates.
Citations
Soil structure as an indicator of soil functions: A review
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