THE object of this work is to provide a text-book on the elements of the theory of spherical harmonics with applications to mathematical physics so far as this can be done without employing contour ...

This paper extends the work described in a previous paper by one of the authors (Altmann 1957). The spherical harmonics that belong to the irreducible representations of the cubic groups are now given ...

Dictionary indexing compares experimental electron backscatter diffraction (EBSD) images to a dictionary of generated patterns in oriented space for each orientation on a uniform grid. 1,2 The ...

Pattern indexing is central to electron backscatter diffraction (EBSD) analysis. Creating an effective indexing algorithm was essential in the effort to automate EBSD. There are two steps to ...