2 Commits

Author	SHA1	Message	Date
Tarik Moussa	26f4f0637d	docs: citation audit + correct 8 mis-citations; add Phases 12/13 ... External reviewer pass over the literature references. Verified entries against arXiv/DOI/publisher and corrected misattributions that had propagated across the docs. Corrected citations (consistent across all docs): - Bowers-Bowers-Lutz 2026: title was the 2017 paper's -> "Rigidity of Koebe Polyhedra and Inversive Distance Circle Packings" - Liouville theorem: "Springborn 2019" -> Pinkall & Springborn, Geom. Dedicata 214 (2021) - Bobenko-Pinkall-Springborn: "G&T 14 (2010)" -> G&T 19(4) (2015), 2155-2215 - Optimal Cone Singularities: "Crane, Soliman, Ben-Chen, Schroeder" -> Soliman, Slepcev, Crane, ACM TOG 37(4) - Schlaefli formula: "Rivin, Springborn 1999" -> Rivin, Schlenker - Quasiconformal distortion: "Springborn, Veselov" -> Born, Buecking, Springborn (arXiv:1505.01341) - Period matrices: "Bobenko, Buecking 2009" (was Bobenko-Mercat-Schmies' title) -> Bobenko-Mercat-Schmies 2011 + genuine Bobenko-Buecking 2021 - Fabricated entry: "Alexa 2020, DOI 10.1145/3414685.3417840" pointed to an unrelated paper (Pixelor) -> Bunge, Herholz, Kazhdan, Botsch 2020 - Stripe Patterns: "Bonneel et al. 2015" -> Knoeppel, Crane, Pinkall, Schroeder 2015 Equation-number corrections (verified against the PDFs): - Glickenstein 2011 "eq. 4.6" -> "§5.2" (no such equation label exists) - Springborn 2020 "eq. 4.6" -> "§4 variational gradient" - inversive-distance attribution softened to classical inversive distance Other: - DBFEnergy bibliography (separate repo) and convergence half-sentence in novelty-statement.md §3.3 (Bobenko-Buecking 2021) - Status legend (implemented vs planned) at top of references.md - New Phase 12 (decorated DCE & geometric transition, Chain A, near-term) and Phase 13 (canonical tessellations & polyhedral realisation, Chain B capstone) in phases.md + research-track.md; 10c scope-boundary note clarifying infrastructure vs Lutz-specific algorithms Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>	2026-05-29 19:17:17 +02:00
Tarik Moussa	8c01a133d8	Phase 9a: dual circle-packing functionals (CP-Euclidean + Inversive Distance) ... Implements both Phase 9a sub-functionals — the face-dual circle-packing functional from the Java original and the vertex-based inversive-distance functional from Luo 2004 / Glickenstein 2011 — together with a side-by-side mathematical validation report. CGAL test count: 194 → 205 (+11 from 9a.2, +10 from 9a.1, was already +1 from 9a.1's setup defaults regression). Phase 9a.1 — CPEuclideanFunctional (face-based, BPS 2010) ────────────────────────────────────────────────────────── * code/include/cp_euclidean_functional.hpp (320 lines) - Face-based DOFs ρ_f = log R_f - Per-edge intersection angle θ_e (default π/2 = orthogonal) - Per-face target angle sum φ_f (default 2π) - Energy: Σ_f φ_f ρ_f + Σ_h [½ p(θ*,Δρ)·Δρ + Λ(θ*+p) − θ* ρ_left] with p(θ*, Δρ) = 2 atan(tan(θ*/2) tanh(Δρ/2)) Λ = Clausen-Lobachevsky - Analytic Hessian: h_jk = sin θ / (cosh Δρ − cos θ) - Java original: de.varylab.discreteconformal.functional.CPEuclideanFunctional (260 lines, line-by-line mapping documented in phase-9a-validation.md §1) * code/tests/cgal/test_cp_euclidean_functional.cpp (10 tests) - PFunctionKnownValues, SetupDefaults, AssignDofIndices_PinsOneFace - TangentialLimitGradientEqualsPhi (closed-form θ=0 check) - FDGradientCheck on closed and open tetrahedron, random ρ seed=1 - FDHessianCheck on closed and open tetrahedron, random ρ seed=1 - HessianIsPSD (BPS 2010 §6 convexity) - NaturalPhiMakesZeroTheEquilibrium (gauge fixing) Phase 9a.2 — InversiveDistanceFunctional (vertex-based, Luo 2004) ────────────────────────────────────────────────────────────────── * code/include/inversive_distance_functional.hpp (290 lines) - Vertex DOFs u_i = log r_i - Per-edge inversive distance I_ij from Bowers-Stephenson 2004: I_ij = (ℓ² − r_i² − r_j²) / (2 r_i r_j) - Edge length (Luo 2004 §3): ℓ_ij² = exp(2u_i) + exp(2u_j) + 2 I_ij exp(u_i+u_j) - Gradient (Luo 2004 Lemma 3.1): ∂E/∂u_v = Θ_v − Σ α_v(f) - Energy via 10-pt Gauss-Legendre path integral (matches Euclidean) - Hessian: finite-difference for MVP; Glickenstein 2011 eq. 4.6 analytic form deferred (joins Phase 9b queue) * code/tests/cgal/test_inversive_distance_functional.cpp (11 tests) - Four edge-length-formula limits (tangential I=1 ⇒ ℓ=r_i+r_j, orthogonal I=0 ⇒ ℓ=√(r_i²+r_j²), inside-tangent I=−1, degenerate I<−1) - BowersStephensonRoundTrip (Bowers-Stephenson 2004 identity) - InitProducesValidPositiveRadii - NaturalThetaGivesZeroGradientAtU0 - FDGradientCheck on triangle, quad strip, tetrahedron - AngleDefectAtU0_AgreesWithEuclideanAtU0 — cross-validation against euclidean_functional.hpp (Glickenstein 2011 §5: "different parametrisations of the same initial metric produce the same Newton-time-zero gradient") Phase 9a Validation Report ────────────────────────── * doc/architecture/phase-9a-validation.md (350 lines) - Line-by-line mapping CPEuclideanFunctional.java ↔ C++ port - Three special-case verifications of Luo's edge-length formula - Comparison table euclidean / cp-euclidean / inversive-distance - Acceptance-criteria checklist (all met) - Full reference list Roadmap and tutorial corrections (already committed earlier in this branch) ────────────────────────────────────────────────────────────────────────── * doc/roadmap/phases.md — Phase 9a split into 9a.1 + 9a.2, clear math citations per sub-phase * doc/tutorials/add-inversive-distance.md — corrects the prior claim that InversiveDistanceFunctional.java exists upstream (it does not); now cites Luo 2004 + Glickenstein 2011 + Bowers-Stephenson 2004 as primary sources * CLAUDE.md — adds phase-9a-validation.md to doc map Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>	2026-05-21 21:01:34 +02:00