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Die Anmeldung als neuer Benutzer ist derzeit nicht möglich und es wird stattdessen die Fehlermeldung "Access denied for your LDAP account." angezeigt. Wir arbeiten bereits an einer Lösung für dieses Problem.

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  • Praetorius, Simon
  • dune-dec
  • Issues
  • #1
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Issue created Jan 26, 2017 by Praetorius, Simon@spraetorOwner

Circumcenter calculation

Currently the calculation of circumcenters is based on a least-squares problem:

For all edges of the entity, formulate pairwise condition

|c - x_i|^2 = |x - x_j|^2, were (x_i, x_j)  forms an edge

with c = lambda * x, i.e. c given in barycentric coordinates. Additionally require sum(lambda) = 1.

The overdetermined system is solved with a qr-method with full pivoting, using Eigen, or row-pivoting using an own implementation. Both implementation fail for some cases, i.e. produce inf or NaN.

This needs to be improved! Find a more stable and maybe more simple way of calculating the circumcenter for an (simplcial) entity of any dimension.

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