@article {1433788,
	title = {Geodesic-loxodromes for diffusion tensor interpolation and difference measurement},
	journal = {Med Image Comput Comput Assist Interv},
	volume = {10},
	number = {Pt 1},
	year = {2007},
	month = {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.},
	keywords = {Algorithms, Brain, Computer Simulation, Diffusion Magnetic Resonance Imaging, Humans, Image Enhancement, Image Interpretation, Computer-Assisted, Imaging, Three-Dimensional, Models, Biological, Numerical Analysis, Computer-Assisted, Reproducibility of Results, Sensitivity and Specificity},
	author = {Kindlmann, Gordon and San Jos{\'e} Est{\'e}par, Ra{\'u}l and Niethammer, Marc and Haker, Steven and Westin, Carl-Fredrik}
}