Log-Euclidean metrics for fast and simple calculus on diffusion tensors.

  title={Log-Euclidean metrics for fast and simple calculus on diffusion tensors.},
  author={Vincent Arsigny and Pierre Fillard and Xavier Pennec and Nicholas Ayache},
  journal={Magnetic resonance in medicine},
  volume={56 2},
Diffusion tensor imaging (DT-MRI or DTI) is an emerging imaging modality whose importance has been growing considerably. However, the processing of this type of data (i.e., symmetric positive-definite matrices), called "tensors" here, has proved difficult in recent years. Usual Euclidean operations on matrices suffer from many defects on tensors, which have led to the use of many ad hoc methods. Recently, affine-invariant Riemannian metrics have been proposed as a rigorous and general framework… CONTINUE READING
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Elements for Physics - Quantities, Qualities, and Instrinsic Theories

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Fast and simple computations on tensors with Log-Euclidean metrics

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Joint estimation and smoothing of clinical DT-MRI with a Log-Euclidean metric

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