docs(references): M1/M2/M4 citation fixes (audit quick-wins)

M1: Add two missing references used in hyper_ideal_utility:
  - Kolpakov, Mednykh (2006, arXiv math/0603097) — tetrahedron volume w/ one ideal vertex
  - Meyerhoff, Ushijima (2006) — tetrahedron volume w/ three ideal vertices

M2: Clarify BPS publication year: Geometry & Topology 2015 (arXiv 2010)
  - Update references.md to note "first posted 2010"
  - Normalize all code comments from "BPS-2010" → "BPS-2015" (published version)

M4: Standardize citation format in code comments
  - Normalize all "Luo (2004)" / "Luo-2004" / "Luo's 2004" → "Luo 2004"
  - Matches references.md convention: Author Year (no parens/dashes)

282/282 tests pass. Addresses M1, M2, M4 from math-derivation-citation audit.

Co-Authored-By: Claude Haiku 4.5 <noreply@anthropic.com>
This commit is contained in:
Tarik Moussa
2026-05-31 14:22:02 +02:00
parent b0946c8704
commit 51d9844f7a
5 changed files with 16 additions and 14 deletions

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@@ -8,7 +8,7 @@
\ingroup PkgConformalMapRef
User-facing entry for the **face-based** circle-packing functional of
Bobenko-Pinkall-Springborn 2010. See `cp_euclidean_functional.hpp`
Bobenko-Pinkall-Springborn 2015. See `cp_euclidean_functional.hpp`
for the underlying algorithm and `doc/architecture/phase-9a-validation.md`
for the line-by-line mapping to the Java original
`CPEuclideanFunctional.java`.
@@ -44,7 +44,7 @@ namespace CGAL {
\ingroup PkgConformalMapConcepts
\brief Traits class for `discrete_circle_packing_euclidean()` —
declares the kernel, mesh and property-map types used by the
BPS-2010 face-based circle-packing functional.
BPS-2015 face-based circle-packing functional.
Primary template; specialise it for non-`Surface_mesh` triangle meshes.
*/
@@ -115,7 +115,7 @@ struct Circle_packing_result
/*!
\ingroup PkgConformalMapRef
Compute the BPS-2010 face-based circle-packing of `mesh`.
Compute the BPS-2015 face-based circle-packing of `mesh`.
\tparam TriangleMesh A `CGAL::Surface_mesh<P>`.
\tparam NamedParameters Optional CGAL named-parameter pack.
@@ -132,7 +132,7 @@ Compute the BPS-2010 face-based circle-packing of `mesh`.
\returns A `Circle_packing_result<FT>` with `ρ_f` per face.
\pre `mesh` is a triangle mesh.
\pre `φ_f` and `θ_e` satisfy the BPS-2010 admissibility conditions
\pre `φ_f` and `θ_e` satisfy the BPS-2015 admissibility conditions
(Σ_f φ_f = 2π·χ + Σ_e (π θ_e), see paper §6).
*/
template <typename TriangleMesh,
@@ -201,7 +201,7 @@ auto discrete_circle_packing_euclidean(
//
// For Phase 8b-Lite we deliberately don't fake it. If the caller
// supplies `output_uv_map(pmap)` we throw `std::runtime_error` with a
// clear pointer to Phase 9c (BPS-2010 §6 face-based circle-packing
// clear pointer to Phase 9c (BPS-2015 §6 face-based circle-packing
// layout, ~150 lines, on the porting roadmap). Failing loudly is
// better than silently writing zeros.
//

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@@ -8,7 +8,7 @@
\ingroup PkgConformalMapRef
User-facing entry for the **vertex-based** inversive-distance circle-
packing functional of Luo (2004), with the Bowers-Stephenson (2004)
packing functional of Luo 2004, with the Bowers-Stephenson (2004)
initialisation. See `inversive_distance_functional.hpp` for the
underlying algorithm and `doc/roadmap/research-track.md` (item 9a.2)
for the research-track classification — this functional has **no Java
@@ -98,7 +98,7 @@ struct Default_inversive_distance_traits<CGAL::Surface_mesh<typename K::Point_3>
/*!
\ingroup PkgConformalMapRef
Compute the Luo-2004 vertex-based inversive-distance circle packing of `mesh`.
Compute the Luo 2004 vertex-based inversive-distance circle packing of `mesh`.
The per-edge constant `I_ij` is computed once at the start from the input
3-D geometry via the Bowers-Stephenson identity

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@@ -19,7 +19,7 @@
// │ The variable is ρ_f = log R_f. │
// │ Adjacent face-circles intersect at a prescribed angle θ_e per edge. │
// │ │
// │ This is the FACE-DUAL of the classical vertex-based Luo (2004)
// │ This is the FACE-DUAL of the classical vertex-based Luo 2004 │
// │ inversive-distance circle packing implemented in │
// │ inversive_distance_functional.hpp (Phase 9a.2). The relation │
// │ I_ij = cos θ_e │
@@ -33,7 +33,7 @@
// │ θ_e per edge intersection angle of the two face-circles │
// │ φ_f per face target sum of corner-angles inside the face │
// │ │
// │ Energy (BPS-2010 §6) │
// │ Energy (BPS-2015 §6) │
// │ E(ρ) = Σ_f φ_f · ρ_f │
// │ + Σ_{(h,f=face(h)): │
// │ [ if opposite face exists ] │
@@ -52,7 +52,7 @@
// │ Per interior hf: (p + θ*) added to G[face(h)] │
// │ Per boundary hf: 2 θ* added to G[face(h)] │
// │ │
// │ Hessian (analytic, BPS-2010 eq. 6.8; Java getHessian lines 127-166) │
// │ Hessian (analytic, BPS-2015 eq. 6.8; Java getHessian lines 127-166) │
// │ Per interior undirected edge e (connecting faces j and k): │
// │ h_jk = sin θ / (cosh Δρ cos θ) │
// │ H[j,j] += h_jk, H[k,k] += h_jk, H[j,k] = h_jk, H[k,j] = h_jk │
@@ -90,7 +90,7 @@ using CPEMapD = ConformalMesh::Property_map<Edge_index, double>;
// ── Persistent map bundle ─────────────────────────────────────────────────────
/// Bundle of the three property maps consumed by the CP-Euclidean
/// (Bobenko-Pinkall-Springborn 2010) circle-packing functional.
/// (Bobenko-Pinkall-Springborn 2015) circle-packing functional.
struct CPEuclideanMaps {
CPFMapI f_idx; ///< DOF index per face (1 = pinned)
CPEMapD theta_e; ///< intersection angle per edge (default π/2 = orthogonal)

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@@ -465,7 +465,7 @@ inline NewtonResult newton_hyper_ideal(
/// Solve the CP-Euclidean circle-packing problem: find ρ^F such that the
/// per-face angle sums match φ_f at every free face.
///
/// The CP-Euclidean energy (Bobenko-Pinkall-Springborn 2010 §6) is strictly
/// The CP-Euclidean energy (Bobenko-Pinkall-Springborn 2015 §6) is strictly
/// convex on its open domain of validity, so the Hessian H is PSD and the
/// solution is unique up to the gauge mode pinned by `f_idx == 1`.
/// `cp_euclidean_hessian` provides the analytic 2×2-per-edge formula
@@ -483,7 +483,7 @@ inline NewtonResult newton_hyper_ideal(
/// \note Unlike the Euclidean solver, the CP-Euclidean Hessian is exact
/// (analytic), so the SparseQR fallback only triggers in genuine
/// gauge-singular situations (no pinned face).
/// \see doc/architecture/phase-9a-validation.md §1 for the BPS-2010 mapping.
/// \see doc/architecture/phase-9a-validation.md §1 for the BPS-2015 mapping.
inline NewtonResult newton_cp_euclidean(
ConformalMesh& mesh,
std::vector<double> x0,