Refinement of orientation relations occurring in phase transformation based on considering only the orientations of the variants

The paper describes a general way to deduce the orientation relation (OR) occurring in phase transformation by considering only the orientations of a sufficient number of variants inherited from the same parent grain. Our current solution, which can be viewed as an optimization scheme using quaternion facilities, differs greatly from previous attempts proposed by other authors. The efficiency of the method is illustrated by searching for the OR determined from the variants of a transformed low-carbon steel.