Quantitative description of internal 3D structure of a geological sample using algebraic topology methods
Description
This data is a result of 3d X-mCT study of a real geological sample (meimechite from the Kontozero complex) and its analysis using Minkowski functionals. File 1 is the initial X-ray Computed Tomography pattern. Files 2-5 contain 4 phases (brightness levels, X-ray density levels) on the initial pattern. They were separated by the multi-Otsu method. File 6 contains 3d scatterplots for each of the phases in the Minkowski functionals (M0-M1) volume.
Files
Steps to reproduce
One has to: 1. Obtain a high-quality tomogram of the sample with the highest possible resolution 2. If the samples are not spherical, it is advisable to cut out spherical areas from the tomogram, if pos-sible, of similar size. 3. Segment the image using the multi-Otsu method into individual X-ray density phases. Check the meaningfulness of the phase selection, i.e. the correspondence of the X-ray density phases to the physical ones (mineral species/group). 4. Select individual objects in each phase using the method of connectivity. 5. Obtain a set of Minkowski functionals M0-M3 for each object. 6. Analyze the Minkowski functionals M0-M2. 7. Place the points of each obtained object in the coordinate system M0-M2; a separate graph for each phase.
Institutions
- Kol'skij naucnyj centr Rossijskaa akademia nauk
- Skolkovo Institute of Science and Technology
- Moskovskij gosudarstvennyj universitet imeni M V Lomonosova Fiziceskij fakul'tet