@article {473441,
	title = {Geodesic-loxodromes for diffusion tensor interpolation and difference measurement.},
	journal = {Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted InterventionMedical image computing and computer-assisted intervention : MICCAI ... International Conference },
	volume = {10},
	year = {2007},
	pages = {1-9},
	abstract = {In algorithms for processing diffusion tensor images, two common ingredients are interpolating tensors, and measuring the distance between them. We propose a new class of interpolation paths for tensors, termed geodesic-loxodromes, which explicitly preserve clinically important tensor attributes, such as mean diffusivity or fractional anisotropy, while using basic differential geometry to interpolate tensor orientation. This contrasts with previous Riemannian and Log-Euclidean methods that preserve the determinant. Path integrals of tangents of geodesic-loxodromes generate novel measures of over-all difference between two tensors, and of difference in shape and in orientation.},
	author = {Kindlmann, Gordon and San Jose Est{\'e}par, Ra{\'u}l and Niethammer, Marc and Haker, Steven and Westin, Carl-Fredrik}
}