|About this Abstract
||2016 TMS Annual Meeting & Exhibition
||Characterization of Minerals, Metals, and Materials
||On the Use of Higher Order Moment Invariants in the Classification of Microstructural Shapes
||Ryan Harrison, Marc De Graef
|On-Site Speaker (Planned)
Second and fourth order moment invariants have been in the past for the classification and analysis of shapes in microstructures. For each object in the microstructure, the second and fourth order moments are computed and combined to form moment invariants (MIs) under similarity or affine transformations. These MIs are plotted against each other to form two-dimensional distributions that allow for visualization and quantitative comparison of shapes in microstructures. The use of odd order moments has been limited thus far primarily because such moments vanish for all centrosymmetric shapes; many shapes in microstructures are approximately centrosymmetric. In this work, a shifted odd order moment is computed for a shape by translating the coordinate origin by a vector based upon the even order moments. Inclusion of these new odd order moments, and moments of order larger than four, leads to improvement of the robustness and accuracy of the shape distribution approach.
||Planned: A print-only volume