Bayesian estimation of templates in computational anatomy: Difference between revisions

Revision as of 15:30, 11 January 2017

Revision as of 19:40, 14 January 2017

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</math> where for <math> \sigma(v) \doteq Av \in V^*

</math> a generalized function or distribution, then <math> (\sigma\mid w)\doteq \int_{{\mathbb R}^3} \sum_i w_i(x) \sigma_i(dx)

</math>. Since <math> A </math> is a differential operator, finiteness of the norm-square <math> (\int_0^1 \int_X Av \midcdot v) dx < \infty

</math> includes derivatives from the differential operator implying smoothness of the vector fields.