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Complete FornbergCanonicalDomain initial guess methods #27

Description

@ehkropf

Location: src/domains/FornbergCanonicalDomain.cpp

Description:
Implement the initial guess computation methods for conformal moduli and boundary correspondences.

Requirements:

  • Line 197: Implement geometric centroid computation (currently falls back to placeholder)
  • Line 227: Implement boundary analysis for initial guess (currently placeholder)

Why Phase 2:
Current implementation has basic fallback logic. More sophisticated initial guesses improve convergence for challenging geometries.

FIXMEs addressed:

  • Line 197: FIXME: For now, fall back to geometric centroids
  • Line 227: FIXME: this is a placeholder

MATLAB Reference: design/fornberg/fornmc/matlab/+bounded_map/ (initial guess heuristics)

See also: Thesis section on initial guess sensitivity

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