Add H4perp geometric heuristic for free-coordinate initialization#137
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Add H4perp geometric heuristic for free-coordinate initialization#137terryspitz wants to merge 1 commit into
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Diagnostic sweep across 11 glyphs × 5 axis configs showed that starting Nelder-Mead from a perpendicular-arc offset (H4perp) wins 83% of 170 cases (mean rank 1.38) vs neighbour-average (rank 1.62) or designer hints (rank 1.71, worst). Solver.h4perpInit() runs after Phases 1-3 of initialise(). For each free coordinate it tries 7 candidates (chord midpoint + 6 perp offsets at ±10/20/35% of chord length), scores each with 50 Nelder-Mead iterations, and picks the lowest-error start — provided it beats the midpoint by >10% (threshold prevents noise-driven regressions in symmetric geometries). Also handle MaximumIterationsException from MathNet NelderMeadSimplex so low-iteration quick-scores complete gracefully. Update docs/DactylSpline.md with the diagnostic results, algorithm description, and rationale. https://claude.ai/code/session_013FzUDrEU4omtyJJtnSaqrP
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Diagnostic sweep across 11 glyphs × 5 axis configs showed that
starting Nelder-Mead from a perpendicular-arc offset (H4perp) wins
83% of 170 cases (mean rank 1.38) vs neighbour-average (rank 1.62)
or designer hints (rank 1.71, worst).
Solver.h4perpInit() runs after Phases 1-3 of initialise(). For each
free coordinate it tries 7 candidates (chord midpoint + 6 perp offsets
at ±10/20/35% of chord length), scores each with 50 Nelder-Mead
iterations, and picks the lowest-error start — provided it beats the
midpoint by >10% (threshold prevents noise-driven regressions in
symmetric geometries).
Also handle MaximumIterationsException from MathNet NelderMeadSimplex
so low-iteration quick-scores complete gracefully.
Update docs/DactylSpline.md with the diagnostic results, algorithm
description, and rationale.
https://claude.ai/code/session_013FzUDrEU4omtyJJtnSaqrP