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A new scale space paradigm is proposed for multi-resolution analysis of diffusion tensor images (DTI). An a priori consistency requirement is stipulated, which precludes a linear model. A nonlinear adaptation is proposed to remedy the problem. Subsequently it is shown how differentiation can be operationalized. Considerations in this paper are relevant for DTI analysis in a differential geometric framework, in which the DTI image imposes a Riemannian structure. It adds further support in favor of the ldquogeometric rationalerdquo, and opens the door for a multi-resolution approach towards fibre tracking, connectivity analysis, and so forth.