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Is there a method to find the shortest segment between 2 Signed distance field?

I know how to calculate this segment for a limited number of SDF like from sphere to sphere, from capsule to sphere, from tor to sphere, from tor to capsule, from box to sphere...

I need a general method to find the segment AB between 2 SDF.

This involves finding the collision point and penetration depth between 2 SDFs someone. A general method to suggest to me that works between 2 any SDF 3D?

Thanks in advance!

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  • $\begingroup$ You mean two points on the zero-level set of the SDFs? $\endgroup$
    – Enigmatisms
    Commented Jun 6 at 2:18
  • $\begingroup$ If your surfaces could be parameterised and were differentiable, it might be a lot easier. $\endgroup$
    – Simon F
    Commented Jun 6 at 12:21
  • $\begingroup$ Yes the 2 points must be at level 0 of the SDF. I had the idea of ​​using the gradient descent but it doesn't work for concave SDFs. This solution is therefore not reliable and generalizable for all types of SDF. $\endgroup$
    – Kuwazy
    Commented Jun 7 at 14:10

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