<p>Does anyone know what applications has the computation of a parallel transport on a mesh?</p>

<p>I'm talking about methods such as <a href="https://www.cs.cmu.edu/~kmcrane/Projects/VectorHeatMethod/paper.pdf" rel="nofollow noreferrer">this one</a></p>

CC BY-SA 4.0
2019-09-11T18:30:16.783Z
There's a whole section on applications in the paper.
lightxbulb
CC BY-SA 4.0
2019-09-12T07:53:46.500Z
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?
user8469759
CC BY-SA 4.0
2019-09-12T08:31:10.750Z
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.
lightxbulb
CC BY-SA 4.0
2019-09-12T09:20:04.450Z
Augmented Reality.
user8469759
CC BY-SA 4.0
2019-09-12T09:31:21.990Z
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).
lightxbulb
CC BY-SA 4.0
2019-09-12T09:58:00.610Z
Can you mention in this context why keeping track of the landmarks might be useful?
user8469759
CC BY-SA 4.0
2019-09-12T10:54:56.107Z
There are too many ways in which this is useful. But for example you may want to transfer the movement of a person as an animation for some 3d model - basically animation transfer. To transfer the animation, you would need landmarks corresponding to the "bones" of your 3d model - for instance arms, legs etc.
lightxbulb
<mesh><vectors>
Application of parallel transport in computer graphics and mesh processing
user8469759
# Application of parallel transport in computer graphics and mesh processing

(Asked by: username_0 on 2019-07-17)

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

I'm talking about methods such as [this one](https://www.cs.cmu.edu/~kmcrane/Projects/VectorHeatMethod/paper.pdf)

**Tags:** mesh, vectors

> **Comments:**
> **username_1**: There's a whole section on applications in the paper.  
> **username_0**: 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?  
> **username_1**: 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.  
> **username_0**: Augmented Reality.  
> **username_1**: 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).  
> **username_0**: Can you mention in this context why keeping track of the landmarks might be useful?  
> **username_1**: There are too many ways in which this is useful. But for example you may want to transfer the movement of a person as an animation for some 3d model - basically animation transfer. To transfer the animation, you would need landmarks corresponding to the "bones" of your 3d model - for instance arms, legs etc.  

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## 0 answers

