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Published in:
2007 | OriginalPaper | Chapter
Geodesic-Loxodromes for Diffusion Tensor Interpolation and Difference Measurement
Authors : Gordon Kindlmann, Raúl San José Estépar, Marc Niethammer, Steven Haker, Carl-Fredrik Westin
Published in: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007
Publisher: Springer Berlin Heidelberg
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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.