Does this algorithm support returning the value of the implicit function at any point?

[wly2014]

The indicator function is mentioned in the approach of the paper Poisson Surface Reconstruction (2006). I want to get the parameters of the indicator function and see it as a signed distance function to calculate the distance at any 3D point.

Does this algorithm support returning the parameters of the indicator function?

Thank you very much.

[mkazhdan]

Unfortunately, the indicator function does not capture distance. In the idealized case, it's a binary function returning 0 or 1 depending on whether you are outside or inside the solid.

Methods like the Smoothed Signed Distance (SSD) function are more likely to be a long the lines of what you want since the returned implicit function gives 5he approximate distance from every point to the nearest point on the surface.

[wly2014]

Thanks a lot for your quick reply.

Methods like the Smoothed Signed Distance (SSD) function are more likely to be a long the lines of what you want since the returned implicit function gives 5he approximate distance from every point to the nearest point on the surface.

I find that this repository contains the SSD algorithm, but I still haven't found out how to get the returned implicit functions and their parameters in the SSD algorithm.

[mkazhdan]

I'm assuming 5hat by "parameters" you mean "values". Running with the "--grid" flag will output the values of the function, samples over a regular grid.

[wly2014]

Thanks for your advice.

I read the SSD paper carefully to understand this algorithm. And now I understand that this issue's name may be inaccurate, so I have updated it to Does this algorithm support returning the value of the implicit function at any point?.

I found that according to your suggestion, my needs can be solved like this: get the value of the implicit function at the grid points using the flag --grid (It is also possible to use --tree?), and then use the finite element discretization (trilinear interpolation in the SSD paper) to obtain the value of the implicit function at any coordinate within the corresponding cell.

[mkazhdan]

1. You don't want to use the --tree flag. That exports the octre2 co3fficie8, which are harder to parse.
2. The --grid options gives you the values, not the coefficients, so there is no need to re-sample.