A robust algorithm to calculate parent beta grain shapes and orientations from alpha phase electron backscatter diffraction data in alpha/beta-titanium alloys

This paper presents a new model and open-source algorithm for reconstructing prior beta phase orientation and grain shapes from measured alpha-phase electron backscatter diffraction data in alpha/beta titanium alloys. It is based on the image segmentation model of Mumford and Shah, which includes a regularization term that helps create smooth boundaries and overcomes shortcomings of prior reconstruction techniques. Additionally, the new algorithm is resilient to noise. Our algorithm's effectiveness is demonstrated on simulated and real world data. (C) 2020 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.