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README.md: reduced from 703 to ~75 lines — what/why, status, quick start, minimal usage example, navigation table to doc/ files. doc/architecture/overall_pipeline.md: trimmed — roadmap, extension points, declarative pipeline YAML, and references sections removed (each now has its own dedicated file). Replaced with a link table. New files: doc/getting-started.md — build modes, single-test invocation, CLI doc/api/pipeline.md — full pipeline API with code for all 3 geometries doc/api/extending.md — new functionals, geometry modes, Java porting guide doc/api/contracts.md — processing unit preconditions/provides table doc/api/cgal-package.md — Phase 8 CGAL package design + YAML pipeline (TODO) doc/math/geometry-modes.md — Euclidean/Spherical/HyperIdeal comparison doc/math/references.md — all papers by module doc/roadmap/phases.md — Phases 1–10 with porting/research boundary doc/roadmap/java-parity.md — Java vs C++ feature parity table doc/contributing.md — language policy, test standards, release flow Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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2.4 KiB
References
Primary source
This library implements the algorithms from:
| Sechelmann — Variational Methods for Discrete Surface Parameterization: Applications and Implementation, Doctoral thesis, TU Berlin 2016 | The complete mathematical foundation: discrete conformal equivalence, variational angle-sum functionals, Newton solver, uniformization, period matrices, holonomy. DOI: 10.14279/depositonce-5415 · CC BY-SA 4.0 |
Java reference implementation: github.com/varylab/conformallab
References by module
| Reference | Used in |
|---|---|
| Springborn — Ideal Hyperbolic Polyhedra and Discrete Uniformization, Discrete & Computational Geometry (2020) | hyper_ideal_geometry.hpp — ζ₁₃/ζ₁₄/ζ₁₅ functions; hyper_ideal_functional.hpp |
| Pinkall, Polthier — Computing Discrete Minimal Surfaces and Their Conjugates, Experimental Mathematics (1993) | euclidean_hessian.hpp — cotangent Laplacian |
| Bobenko, Springborn — Variational Principles for Circle Patterns and Koebe's Theorem, Transactions AMS (2004) | Variational angle-sum framework underlying all three functionals |
| Luo — Combinatorial Yamabe Flow on Surfaces, Communications in Contemporary Mathematics (2004) | Inversive-distance functional — not yet ported, Phase 9a |
| Erickson, Whittlesey — Greedy Optimal Homotopy and Homology Generators, SODA (2005) | cut_graph.hpp — tree-cotree algorithm |
| Bobenko, Springborn — A Discrete Laplace–Beltrami Operator for Simplicial Surfaces, Discrete & Computational Geometry (2007) | Background for cotangent weights |
| Desbrun, Kanso, Tong — Discrete Differential Forms for Computational Modeling, SIGGRAPH Course Notes (2006) | Discrete exterior calculus background for Phase 10a |
Phase 10 references (future research)
| Reference | Relevant for |
|---|---|
| Farkas, Kra — Riemann Surfaces, Springer GTM 71 | Siegel period matrix, Teichmüller theory |
| Siegel — Topics in Complex Function Theory, Vol. 2, Wiley | Siegel upper half-space H_g, Sp(2g,ℤ) reduction |
| Bobenko, Mercat, Schmies — Period Matrices of Polyhedral Surfaces, in: Computational Approach to Riemann Surfaces (2011) | Discrete period matrices on polyhedral surfaces |