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Does anyone know what applications has the computation of a parallel transport on a mesh?

I'm talking about methods such as this one

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    $\begingroup$ There's a whole section on applications in the paper. $\endgroup$ – lightxbulb Sep 11 at 18:30
  • $\begingroup$ I was talking about something more in layman terms. I wouldn't exactly count logarithmic map as something a layman can understand, sure you can compute it, but what can you do with it? $\endgroup$ – user8469759 Sep 12 at 7:53
  • $\begingroup$ Too many things. An excerpt from the paper: As observed by Schmidt et al. [2006], the logarithmic map (referred to there as the exponential map) is useful for a large number of tasks in geometry processing, such as interactive shape editing [Schmidt and Singh 2010] and texture decaling (Fig. 17). My best advice is that you read the paper and follow the references. I am not exactly sure what you're looking for specifically. If you have a specific application in mind do mention it. $\endgroup$ – lightxbulb Sep 12 at 8:31
  • $\begingroup$ Augmented Reality. $\endgroup$ – user8469759 Sep 12 at 9:20
  • $\begingroup$ Then using the log map to virtually place decals onto actual objects should be one application. Another application has to do with the ordered intrinsic landmark section - namely keeping track of various landmarks (see Fig. 25). $\endgroup$ – lightxbulb Sep 12 at 9:31

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