Misorientation and orientation matrix
In this video I show you how to calculate the misorientation between two points (grain, pixel, etc.) by using the matrix approach and by using the quaternion approach. I will go into more details for the quaternion approach because it is less complex computationally and it is more aesthetic mathematically. In the last section of the video, I demonstrate the local-, and global misorientation on a small area of a deformed FCC material.
Local misorientation: Misorientation difference between two neighboring points or the average misorientations between a reference point and its neighbors.
Global misorientation: Misorientation between a fixed reference point and all the other points. For example, you fix the reference at (0;0) on the image and compare the rest of the orientations to it.