Hi Shengwei,
DTI-TK indeed changes the background to an isotropic tensor with diagonal terms equal to 0.001 and off-diagonal ones to 0.0. This is important for the log-euclidean tensor interpolation.
The value 0.001 itself is arbitrary, just so that it is significantly smaller than the real diffusivity values seen in tissue. Incidentally, I came to realize that this also makes adhering to the choice of diffusivity unit of DTI-TK very important. Affine registration can fail if the proper diffusivity unit is not set, as found here:
Thanks for pointing out the warning messages. They are indeed harmless, just mean that you didn't set up the DTITK_USE_QSUB variable. Nevertheless, I added a note on this in the Installation page just now.
Gary