Smoothing Tensor-Valued Images Using Anisotropic Geodesic Diffusion

@inproceedings{Zhang2006SmoothingTI,
  title={Smoothing Tensor-Valued Images Using Anisotropic Geodesic Diffusion},
  author={Fan Zhang and Edwin R. Hancock},
  booktitle={SSPR/SPR},
  year={2006}
}
This paper considers the feature space of DT-MRI as a differential manifold with an affine-invariant metric. We generalise Di Zenzo’s structure tensor to tensor-valued images for edge detection. To improve the quality of the edges, we develop a generalised Perona-Malik method for smoothing tensor images. We demonstrate our algorithm on both synthetic and real DT-MRI data. 

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