b02f08625c
Neues Dokument doc/architecture/geometry-central-comparison.md: - Gemeinsame mathematische Grundlage (Bobenko–Springborn 2004, Springborn 2020) - Algorithmenvergleich: Newton (fixed triangulation) vs. Ptolemäische Flips - Vollständige Feature-Matrix: was existiert wo, was fehlt wo - Klare Adoptionsempfehlungen: Ptolemäischer Pre-Conditioner ja (GC-2), intrinsische Triangulierungen als Architektur nein (Begründung) - 5 wissenschaftliche Mehrwerte: Kreuz-Validierung, Konvergenzstudie, Period-Matrix als Alleinstellungsmerkmal, Sphärische Geometrie, Springborn 2020 - Praktischer Roadmap GC-1 bis GC-paper mit Aufwandsschätzungen - README-Eintrag ergänzt Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
105 lines
5.5 KiB
Markdown
105 lines
5.5 KiB
Markdown
# conformallab++
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C++17 reimplementation of [ConformalLab](https://github.com/varylab/conformallab) —
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Stefan Sechelmann's Java research library for discrete conformal geometry (TU Berlin).
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The long-term goal is a **CGAL package** for discrete conformal maps.
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Algorithmic foundation:
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> Stefan Sechelmann — *Variational Methods for Discrete Surface Parameterization: Applications and Implementation*, TU Berlin 2016.
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> DOI: [10.14279/depositonce-5415](https://depositonce.tu-berlin.de/items/8e2988b2-d991-45b5-aad5-9fb7988f3b2f) · CC BY-SA 4.0 ·
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> [Java original](https://github.com/varylab/conformallab) · [sechel.de](https://sechel.de/)
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**Status:** Phase 7 complete. Newton solver for all three geometries (Euclidean / Spherical / HyperIdeal), priority-BFS layout in ℝ²/S²/Poincaré disk, Gauss–Bonnet, tree-cotree cut graph, Möbius holonomy, period matrix (genus 1), fundamental domain, halfedge_uv texture atlas, JSON/XML serialisation, CLI app. **173 CGAL tests + 36 non-CGAL tests.**
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---
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## Quick start
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```bash
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git clone https://codeberg.org/TMoussa/ConformalLabpp && cd ConformalLabpp
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# Fast tests — no system dependencies
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cmake -S code -B build && cmake --build build --target conformallab_tests -j$(nproc)
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ctest --test-dir build --output-on-failure
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# CGAL tests headless (apt install libboost-dev / brew install boost)
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cmake -S code -B build -DWITH_CGAL_TESTS=ON
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cmake --build build --target conformallab_cgal_tests -j$(nproc)
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ctest --test-dir build -R "^cgal\." --output-on-failure
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# Full build with CLI + viewer (requires Wayland/X11 dev headers)
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cmake -S code -B build -DWITH_CGAL=ON && cmake --build build -j$(nproc)
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./bin/conformallab_core -i input.off -g euclidean -o layout.off -j result.json
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```
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---
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## Minimal usage
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```cpp
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#include "conformal_mesh.hpp"
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#include "mesh_io.hpp"
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#include "euclidean_functional.hpp"
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#include "gauss_bonnet.hpp"
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#include "newton_solver.hpp"
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#include "layout.hpp"
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using namespace conformallab;
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ConformalMesh mesh = load_mesh("input.off");
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EuclideanMaps maps = setup_euclidean_maps(mesh);
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compute_euclidean_lambda0_from_mesh(mesh, maps);
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// Assign DOFs — pin first vertex (gauge fix)
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auto vit = mesh.vertices().begin();
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maps.v_idx[*vit++] = -1;
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int idx = 0;
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for (; vit != mesh.vertices().end(); ++vit) maps.v_idx[*vit] = idx++;
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// Natural equilibrium target: x* = 0 by construction
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std::vector<double> x0(idx, 0.0);
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auto G0 = euclidean_gradient(mesh, x0, maps);
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for (auto v : mesh.vertices())
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if (maps.v_idx[v] >= 0) maps.theta_v[v] -= G0[maps.v_idx[v]];
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check_gauss_bonnet(mesh, maps);
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NewtonResult res = newton_euclidean(mesh, x0, maps);
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Layout2D layout = euclidean_layout(mesh, res.x, maps);
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```
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---
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## Documentation
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| **Getting started** — build modes, single-test invocation, CLI, Docker | [doc/getting-started.md](doc/getting-started.md) |
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| **Pipeline API** — all three geometries, holonomy, serialisation | [doc/api/pipeline.md](doc/api/pipeline.md) |
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| **Public headers** — all 24 headers with descriptions | [doc/api/headers.md](doc/api/headers.md) |
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| **Test suites** — 28 suites, 170 tests, individual counts | [doc/api/tests.md](doc/api/tests.md) |
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| **Extending** — new functionals, geometry modes, porting from Java | [doc/api/extending.md](doc/api/extending.md) |
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| **Processing unit contracts** — preconditions / provides table | [doc/api/contracts.md](doc/api/contracts.md) |
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| **CGAL package design** — Phase 8 target, YAML pipeline | [doc/api/cgal-package.md](doc/api/cgal-package.md) |
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| **Architecture & pipeline diagram** | [doc/architecture/overall_pipeline.md](doc/architecture/overall_pipeline.md) |
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| **geometry-central comparison** — shared core, demarcation, adoption candidates, scientific added value | [doc/architecture/geometry-central-comparison.md](doc/architecture/geometry-central-comparison.md) |
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| **Design decisions** — key architectural choices + rationale | [doc/architecture/design-decisions.md](doc/architecture/design-decisions.md) |
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| **Project structure** — directory tree + build targets | [doc/architecture/project-structure.md](doc/architecture/project-structure.md) |
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| **Discrete conformal theory** — mathematical background for collaborators | [doc/math/discrete-conformal-theory.md](doc/math/discrete-conformal-theory.md) |
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| **Validation** — known analytic results + how to verify them | [doc/math/validation.md](doc/math/validation.md) |
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| **Validation protocol** — concrete commands with expected outputs | [doc/math/validation-protocol.md](doc/math/validation-protocol.md) |
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| **Tutorial: add a new functional** — step-by-step Inversive-Distance port | [doc/tutorials/add-inversive-distance.md](doc/tutorials/add-inversive-distance.md) |
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| **Declarative YAML pipeline** — concept, token vocabulary, 5 examples | [doc/concepts/declarative-pipeline.md](doc/concepts/declarative-pipeline.md) |
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| **Geometry modes** — Euclidean / Spherical / HyperIdeal comparison | [doc/math/geometry-modes.md](doc/math/geometry-modes.md) |
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| **References** — all papers by module | [doc/math/references.md](doc/math/references.md) |
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| **Roadmap** — Phases 1–10 | [doc/roadmap/phases.md](doc/roadmap/phases.md) |
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| **Java parity table** — what is ported, what is planned | [doc/roadmap/java-parity.md](doc/roadmap/java-parity.md) |
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| **Contributing** — language policy, test standards, release flow | [doc/contributing.md](doc/contributing.md) |
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| **Claude Code context** | [CLAUDE.md](CLAUDE.md) |
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---
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## License
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conformallab++ is released under the MIT License (see [LICENSE](LICENSE)).
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The dissertation (Sechelmann 2016) is CC BY-SA 4.0.
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