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6.86 kB
| """Convert the vendored MIT Staunton STLs into metre-scale simulation assets. | |
| Run only when rebuilding assets: uv pip install --python .venv/bin/python -e '.[assets]' | |
| Then: .venv/bin/python sim/prepare_chess_assets.py | |
| Scene generation and simulation use the checked-in outputs without these extra dependencies. | |
| """ | |
| from __future__ import annotations | |
| import hashlib | |
| import json | |
| from pathlib import Path | |
| import coacd | |
| import numpy as np | |
| import trimesh | |
| ROOT = Path(__file__).resolve().parent / "assets" / "chess" | |
| COMMIT = "cef2c79445380c5bffec461a80c7c91caf89b3b2" | |
| KINDS = ("pawn", "rook", "knight", "bishop", "queen", "king") | |
| # One uniform scale for the entire set; the upstream king is 78 units tall. | |
| KING_HEIGHT = 0.046 | |
| SCALE = KING_HEIGHT / 78.0 | |
| # Estimates, not physical measurements. Replace with weighed masses before deployment. | |
| MASS_KG = dict(pawn=0.006, rook=0.009, knight=0.009, bishop=0.008, queen=0.010, king=0.011) | |
| DECOMPOSITION = dict(threshold=0.035, max_convex_hull=32, resolution=1500, | |
| mcts_iterations=60, mcts_nodes=15, decimate=True, | |
| max_ch_vertex=80, seed=0) | |
| def convex_slice(mesh, lo, hi): | |
| """Convex hull of a horizontal slab, including exact triangle/plane crossings.""" | |
| vertices = mesh.vertices | |
| points = [vertices[(vertices[:, 2] >= lo) & (vertices[:, 2] <= hi)]] | |
| a, b = vertices[mesh.edges_unique[:, 0]], vertices[mesh.edges_unique[:, 1]] | |
| for z in (lo, hi): | |
| mask = ((a[:, 2] <= z) & (b[:, 2] > z)) | ((b[:, 2] <= z) & (a[:, 2] > z)) | |
| aa, bb = a[mask], b[mask] | |
| points.append(aa + (bb - aa) * ((z - aa[:, 2]) / (bb[:, 2] - aa[:, 2]))[:, None]) | |
| points = np.concatenate(points) | |
| if len(points) < 4 or np.ptp(points[:, 2]) < 1e-7: | |
| return None | |
| # Millimetres avoid welding distinct vertices in sub-millimetre slabs. | |
| hull = trimesh.Trimesh(vertices=points * 1000, process=False).convex_hull | |
| hull.apply_scale(0.001) | |
| return hull | |
| def prepare(kind: str) -> dict: | |
| source = ROOT / "source" / f"{kind.title()}.stl" | |
| mesh = trimesh.load_mesh(source) | |
| # CAD files are Y-up and have different offsets. +90 degrees about X gives Z-up. | |
| mesh.vertices = mesh.vertices[:, [0, 2, 1]] * [1, -1, 1] | |
| # Centre using the circular foot, not the asymmetric knight's head. | |
| foot = mesh.vertices[mesh.vertices[:, 2] < mesh.bounds[0, 2] + 0.1] | |
| origin = np.r_[(foot[:, :2].min(0) + foot[:, :2].max(0)) / 2, mesh.bounds[0, 2]] | |
| mesh.apply_translation(-origin) | |
| mesh.apply_scale(SCALE) | |
| mesh.export(ROOT / f"{kind}.stl") | |
| height = float(mesh.extents[2]) | |
| # Choose an actual narrow cross-section in the middle of the body, below the head. | |
| candidates = [] | |
| fractions = (0.25, 0.39) if kind == "knight" else (0.32, 0.58) | |
| for z in np.linspace(height * fractions[0], height * fractions[1], 50): | |
| section = mesh.section(plane_origin=[0, 0, z], plane_normal=[0, 0, 1]) | |
| if section is not None: | |
| radius = float(np.linalg.norm(section.vertices[:, :2], axis=1).max()) | |
| candidates.append((radius, float(z))) | |
| radius, grasp_z = min(candidates) | |
| # Work in millimetres for the decomposition's numerical conditioning. | |
| settings = dict(DECOMPOSITION) | |
| parts = coacd.run_coacd(coacd.Mesh(mesh.vertices * 1000, mesh.faces), **settings) | |
| hulls = [trimesh.Trimesh(vertices=np.asarray(v) / 1000, faces=f).convex_hull for v, f in parts] | |
| if kind == "knight": | |
| # Automatic remeshing of the non-watertight horse head also inflates its | |
| # thin neck. Preserve the foot/neck directly as convex slices (0.25 mm | |
| # around the gripping region, 1 mm elsewhere) and | |
| # retain only the upper part of the automatic decomposition for the head. | |
| split_z = 0.014 | |
| upper = [] | |
| for hull in hulls: | |
| clipped = convex_slice(hull, split_z, float(mesh.bounds[1, 2]) + 0.01) | |
| if clipped is not None: | |
| upper.append(clipped) | |
| lower = [] | |
| # Split at the narrowest neck itself so its groove is not bridged. | |
| edges = np.unique(np.round(np.r_[np.linspace(0, split_z, 15), np.linspace(0.007, 0.012, 21), grasp_z], 9)) | |
| for lo, hi in zip(edges[:-1], edges[1:]): | |
| lower.append(convex_slice(mesh, lo, hi)) | |
| hulls = lower + upper | |
| settings["lower_exact_slices"] = dict(height_m=split_z, z_edges_m=edges.tolist()) | |
| files = [] | |
| for i, hull in enumerate(hulls): | |
| if not hull.is_watertight or hull.volume <= 0: | |
| raise ValueError(f"Invalid collision hull for {kind}: {i}") | |
| path = ROOT / "collision" / f"{kind}_{i:02d}.stl" | |
| hull.export(path) | |
| files.append(str(path.relative_to(ROOT))) | |
| for stale in (ROOT / "collision").glob(f"{kind}_*.stl"): | |
| if str(stale.relative_to(ROOT)) not in files: | |
| stale.unlink() | |
| # Full-mesh inertia where valid; knight uses the convex approximation. Explicit | |
| # body inertials prevent duplicate visual and collision geometry adding mass. | |
| solid = mesh if mesh.is_watertight else trimesh.util.concatenate(hulls) | |
| mass = MASS_KG[kind] | |
| inertia = solid.moment_inertia * mass / solid.volume | |
| return dict(source_file=str(source.relative_to(ROOT)), | |
| source_sha256=hashlib.sha256(source.read_bytes()).hexdigest(), | |
| visual=f"{kind}.stl", collision=files, height_m=height, | |
| bounds_m=mesh.bounds.tolist(), mass_kg=mass, | |
| center_of_mass_m=solid.center_mass.tolist(), | |
| fullinertia_kg_m2=[float(inertia[i, j]) for i, j in | |
| ((0, 0), (1, 1), (2, 2), (0, 1), (0, 2), (1, 2))], | |
| inertia_source="uniform solid mesh" if mesh.is_watertight else "convex parts approximation", | |
| source_watertight=bool(mesh.is_watertight), | |
| grasp_z_m=grasp_z, grasp_diameter_m=2 * radius, | |
| triangles=len(mesh.faces), collision_hulls=len(hulls), decomposition=settings) | |
| def main(): | |
| (ROOT / "collision").mkdir(exist_ok=True) | |
| coacd.set_log_level("warn") | |
| manifest = dict(source_url="https://github.com/clarkerubber/Staunton-Pieces", | |
| source_commit=COMMIT, license="MIT", units="metres", | |
| uniform_scale_from_source=SCALE, | |
| mass_note="Estimated masses and uniform-density inertia; calibrate against the real set.", | |
| decomposition=DECOMPOSITION, pieces={}) | |
| for kind in KINDS: | |
| manifest["pieces"][kind] = prepare(kind) | |
| p = manifest["pieces"][kind] | |
| print(f"{kind}: {p['height_m']*1000:.1f} mm, {p['triangles']} triangles, " | |
| f"{p['collision_hulls']} collision hulls", flush=True) | |
| (ROOT / "manifest.json").write_text(json.dumps(manifest, indent=2) + "\n") | |
| if __name__ == "__main__": | |
| main() | |