I have two kind of 2D images from a Strain test, which show temperature and strain distributions in X and Y cordinate systems.
One is thermal image, which gives temperature T values in a 200x300 matrix form. I can calculate the distance between each pixels, so I know the X,Y cordinates in millimeters for each temerature point.
Second Image is the strain image, which shows strain values in a 500x700 matrix form. I also know their distances at X' and Y' positions.
Both of these images have different resolutions and I want to interpolate temperature values on the strain image co-ordinates. But to do so accurately, I first need to find the offset of thermal image, and then interpolate the temerpature values.
Mathematically speaking, how best can I find the optimal X & Y offsets? Since Temperature and Strain are co-related, my problem is to minimize the variance in distribution patterens between Strain and Temprature images.