{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,19]],"date-time":"2026-09-19T19:48:06Z","timestamp":1789847286965,"version":"4.0.1"},"reference-count":51,"publisher":"Geological Society of London","issue":"1","license":[{"start":{"date-parts":[[2014,8,1]],"date-time":"2014-08-01T00:00:00Z","timestamp":1406851200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-002"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SP"],"published-print":{"date-parts":[[2015,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper presents the background for the calculation of various numbers that can be used to characterize crystal-preferred orientation (CPO), also known as texture in materials science, for large datasets using the combined scripting possibilities of<jats:monospace>MTEX<\/jats:monospace>and MatLab\u00ae. The paper is focused on three aspects in particular: the strength of CPO represented by orientation and misorientation distribution functions (ODFs, MDFs) or pole figures (PFs); symmetry of PFs and components of ODFs; and elastic tensors. The traditional measurements of texture strength of ODFs, MDFs and PFs are integral measurements of the distribution squared. The M-index is a partial measure of the MDF as the difference between uniform and measured misorientation angles. In addition there other parameters based on eigen analysis, but there are restrictions on their use. Eigen analysis does provide some shape factors for the distributions. The maxima of an ODF provides information on the modes.<jats:monospace>MTEX<\/jats:monospace>provides an estimate of the lower bound uniform fraction of an ODF. Finally, we illustrate the decomposition of arbitrary elastic tensor into symmetry components as an example of components in anisotropic physical properties. Ten examples scripts and their output are provided in the appendix.<\/jats:p>","DOI":"10.1144\/sp409.8","type":"journal-article","created":{"date-parts":[[2014,8,2]],"date-time":"2014-08-02T04:34:10Z","timestamp":1406954050000},"page":"251-271","source":"Crossref","is-referenced-by-count":272,"title":["Descriptive tools for the analysis of texture projects with large datasets using<tt>MTEX<\/tt>: strength, symmetry and components"],"prefix":"10.1144","volume":"409","author":[{"given":"David","family":"Mainprice","sequence":"first","affiliation":[{"name":"Geosciences Montpellier UMR CNRS 5243, Universit\u00e9 Montpellier 2, 34095 Montpellier Cedex 05, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Florian","family":"Bachmann","sequence":"additional","affiliation":[{"name":"Mathematische Geologie und Geoinformatik, Institut f\u00fcr Geophysik und Geoinformatik, Technische Universit\u00e4t Freiberg, 09596 Freiberg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ralf","family":"Hielscher","sequence":"additional","affiliation":[{"name":"Fakult\u00e4t f\u00fcr Mathematik, Technische Universit\u00e4t Chemnitz, 09126 Chemnitz, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Helmut","family":"Schaeben","sequence":"additional","affiliation":[{"name":"Mathematische Geologie und Geoinformatik, Institut f\u00fcr Geophysik und Geoinformatik, Technische Universit\u00e4t Freiberg, 09596 Freiberg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1881","published-online":{"date-parts":[[2014,8]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0191-8141(97)00001-1"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1190\/1.1888997"},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.1107\/S002188981003027X"},{"key":"e_1_3_3_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ultramic.2011.08.002"},{"key":"e_1_3_3_6_1","doi-asserted-by":"publisher","DOI":"10.1029\/RG008i003p00633"},{"key":"e_1_3_3_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0191-8141(01)00137-7"},{"key":"e_1_3_3_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0040-1951(98)00141-3"},{"key":"e_1_3_3_9_1","unstructured":"Bingham C.An antipodally symmetric distribution on the sphere. 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