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On page 79 (or page 5) of this this paper the gradient of the SSE of the Geodesic model is described explicitly. My question is how are these equitations derived in detail; where can I find the computations?

Moreover, if I wanted to solve a contained version of this equation how would can I modify the final solution based on my constraints?

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  • $\begingroup$ onlinelibrary.wiley.com/doi/10.1002/cpa.3160300502/pdf $\endgroup$
    – user35593
    Commented Mar 18, 2015 at 11:42
  • $\begingroup$ there you can find the computation of the gradient of the squared distance function. $\endgroup$
    – user35593
    Commented Mar 18, 2015 at 11:43
  • $\begingroup$ Thanks :), but is there another reference I cannot seem to get access to this article... $\endgroup$
    – ABIM
    Commented Mar 19, 2015 at 0:03
  • $\begingroup$ Oh, I'm sorry I got access by my university. The article is called 'riemannian center of mass and mollifier smoothing' by H. Karcher. I'm not sure if this article is available for free $\endgroup$
    – user35593
    Commented Mar 19, 2015 at 9:31
  • $\begingroup$ Also why does he derive the adjoint of Exp instead Exp itself? $\endgroup$
    – ABIM
    Commented Mar 20, 2015 at 2:08

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