My objective is the following: I know the parameters of a 3d sphere S, e.g. radius and center, and I know a set of points E on the sphere which forms a polygon. I need to find an eq. which describes all points inside this spherical polygon. I'm very unsure what the best way would be to proceed.

Edit: Application if this would be available: Triangulate the sphere surface without the spherical polygon and stop at the polygon's edges.

Edit: Not necessarily it needs to be an equation. A strategy would be also useful.

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    $\begingroup$ What does "hole" have to do with this question? $\endgroup$ – David G. Stork Oct 25 '18 at 23:21
  • $\begingroup$ This doesn't solve your problem, but the proper term is "spherical polygon". $\endgroup$ – YiFan Oct 25 '18 at 23:24
  • $\begingroup$ David: I want a description/eq. of a sphere where a spherical polygon was removed $\endgroup$ – stephanmg Oct 25 '18 at 23:39
  • $\begingroup$ Then I suggest you ask that question instead of the one you did. $\endgroup$ – David G. Stork Oct 25 '18 at 23:39
  • $\begingroup$ David: Thank you. See my edit. $\endgroup$ – stephanmg Oct 25 '18 at 23:43

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