1. Auto- and Cross-correlation(2-point statistics from EBSD data)Team MembersAkash Gupta , Dipen Patel 2. Step 1: Extracting orientations from EBSD data 1 microstructure is selected at processing conditions: T=3000C, =73%, =0.01 OIM analysis software is used to extract 2-D pixel data containing crystal orientations (1,, 2) from .oim files Size of microstructure = (200 x 200) m , (1156 x 1000) pixels Microstructure contains large number of grains with unique orientation leading to large number of local states ~ 105 th microstructure (578 x 500) pixels was selected for further steps 3. Step 2: Finding equivalent orientation in FZ 12 lattice symmetry operations associated with hexagonal crystal lattice leads to 12 equivalentorientationsRef: Microstructure-sensitive Design for PerformanceOptimization (2013), Authors: Brent L. Adams, SuryaKalidindi, David T. Fullwood 4. Step 3: Binning of Fundamental Zone (FZ) Number of local states in microstructure can be governed here For this study we fixed number of local states (bins) to be 60 (5x4x3) 5. Step 4: Assigning bins to grains in microstructure Based on orientations, each grain is assigned to one of the 60 bins (local states) in fundamental zone Number of local states reduced from ~ 105 to 60 Local state 10 is shown in white color in binary image (rest of 59 states are shown in black) 6. Step 5: Image processing Grains are define based on threshold of 20 pixels IQ : The image quality parameter or IQ describes the quality of an electron backscatter diffraction pattern.The IQ parameter is the sum of the detected peaks in the Hough transform. CI : This parameter allows to distinguish between data that is correctly indexed from data that may besuspect. It is calculated during automated indexing of the diffraction pattern.Image Quality (IQ) Confidence Index (CI) Ref:http://www.material.ntnu.no/ebsd/EBSD/OIM%20Analysis%205_3%20%20Manual.pdf 7. Step 6: 2-point statistics: Auto-correlation Auto-correlation for local state 10 for aperiodic and periodic structuresX (pixels) 8. Step 6: 2-point statistics: Cross-correlation Cross-correlation between local state 10 and 30Local state 10 Local state 30 9. Way Forward and Challenges Compute all independent cross-correlations Generate statistics for rest of the structures and do PCA Challenges handling big data files and generating good images with 1000 x 1000 pixels Repeating above mentioned process for rest of the structure files will require huge computational time