|
| 1 | +import numpy as np |
| 2 | +import pyvista as pv |
| 3 | +import trimesh |
| 4 | +from pydantic import BaseModel, Field |
| 5 | +from tesseract_core.runtime import Array, Differentiable, Float32 |
| 6 | + |
| 7 | +# |
| 8 | +# Schemata |
| 9 | +# |
| 10 | + |
| 11 | + |
| 12 | +class InputSchema(BaseModel): |
| 13 | + """Input schema for bar geometry design and SDF generation.""" |
| 14 | + |
| 15 | + differentiable_parameters: Differentiable[ |
| 16 | + Array[ |
| 17 | + (None,), |
| 18 | + Float32, |
| 19 | + ] |
| 20 | + ] = Field( |
| 21 | + description=( |
| 22 | + "Vertex positions of the bar geometry. " |
| 23 | + "The shape is (num_bars, num_vertices, 3), where num_bars is the number of bars " |
| 24 | + "and num_vertices is the number of vertices per bar. The last dimension represents " |
| 25 | + "the x, y, z coordinates of each vertex." |
| 26 | + ) |
| 27 | + ) |
| 28 | + |
| 29 | + non_differentiable_parameters: Array[ |
| 30 | + (None,), |
| 31 | + Float32, |
| 32 | + ] = Field(description="Flattened array of non-differentiable geometry parameters.") |
| 33 | + |
| 34 | + geometry_ints: list[int] = Field( |
| 35 | + description=( |
| 36 | + "List of integers used to construct the geometry." |
| 37 | + " The first integer is the number of bars, and the second integer is the number of vertices per bar." |
| 38 | + ) |
| 39 | + ) |
| 40 | + |
| 41 | + |
| 42 | +class TriangularMesh(BaseModel): |
| 43 | + """Triangular mesh representation with fixed-size arrays.""" |
| 44 | + |
| 45 | + points: Array[(None, 3), Float32] = Field(description="Array of vertex positions.") |
| 46 | + faces: Array[(None, 3), Float32] = Field( |
| 47 | + description="Array of triangular faces defined by indices into the points array." |
| 48 | + ) |
| 49 | + |
| 50 | + |
| 51 | +class OutputSchema(BaseModel): |
| 52 | + """Output schema for generated geometry and SDF field.""" |
| 53 | + |
| 54 | + mesh: TriangularMesh = Field( |
| 55 | + description="Triangular mesh representation of the geometry" |
| 56 | + ) |
| 57 | + |
| 58 | + |
| 59 | +# |
| 60 | +# Helper functions |
| 61 | +# |
| 62 | + |
| 63 | + |
| 64 | +def build_geometry( |
| 65 | + differentiable_parameters: np.ndarray, |
| 66 | + non_differentiable_parameters: np.ndarray, |
| 67 | + geometry_ints: list[int], |
| 68 | +) -> list[trimesh.Trimesh]: |
| 69 | + """Build a pyvista geometry from the parameters. |
| 70 | +
|
| 71 | + The parameters are expected to be of shape (n_chains, n_edges_per_chain + 1, 3), |
| 72 | + """ |
| 73 | + n_chains = geometry_ints[0] |
| 74 | + n_vertices_per_chain = geometry_ints[1] |
| 75 | + geometry = [] |
| 76 | + |
| 77 | + params = differentiable_parameters.reshape((n_chains, n_vertices_per_chain, 3)) |
| 78 | + radius = non_differentiable_parameters[0] |
| 79 | + |
| 80 | + for chain in range(n_chains): |
| 81 | + tube = pv.Spline(points=params[chain]).tube( |
| 82 | + radius=radius, capping=True, n_sides=30 |
| 83 | + ) |
| 84 | + tube = tube.triangulate() |
| 85 | + tube = pyvista_to_trimesh(tube) |
| 86 | + geometry.append(tube) |
| 87 | + |
| 88 | + # convert each geometry in a trimesh style mesh and combine them |
| 89 | + mesh = geometry[0] |
| 90 | + |
| 91 | + for geom in geometry[1:]: |
| 92 | + mesh = mesh.union(geom) |
| 93 | + |
| 94 | + return mesh |
| 95 | + |
| 96 | + |
| 97 | +def pyvista_to_trimesh(mesh: pv.PolyData) -> trimesh.Trimesh: |
| 98 | + """Convert a pyvista mesh to a trimesh style polygon mesh.""" |
| 99 | + points = mesh.points |
| 100 | + points_per_face = mesh.faces[0] |
| 101 | + n_faces = mesh.faces.shape[0] // (points_per_face + 1) |
| 102 | + |
| 103 | + faces = mesh.faces.reshape(n_faces, (points_per_face + 1))[:, 1:] |
| 104 | + |
| 105 | + return trimesh.Trimesh(vertices=points, faces=faces) |
| 106 | + |
| 107 | + |
| 108 | +# |
| 109 | +# Tesseract endpoints |
| 110 | +# |
| 111 | + |
| 112 | + |
| 113 | +def apply(inputs: InputSchema) -> OutputSchema: |
| 114 | + """Generate mesh and SDF from bar geometry parameters. |
| 115 | +
|
| 116 | + Args: |
| 117 | + inputs: Input schema containing bar geometry parameters. |
| 118 | +
|
| 119 | + Returns: |
| 120 | + Output schema with generated mesh and SDF field. |
| 121 | + """ |
| 122 | + mesh = build_geometry( |
| 123 | + differentiable_parameters=inputs.differentiable_parameters, |
| 124 | + non_differentiable_parameters=inputs.non_differentiable_parameters, |
| 125 | + geometry_ints=inputs.geometry_ints, |
| 126 | + ) |
| 127 | + |
| 128 | + print(mesh) |
| 129 | + |
| 130 | + return OutputSchema( |
| 131 | + mesh=TriangularMesh( |
| 132 | + points=mesh.vertices.astype(np.float32), |
| 133 | + faces=mesh.faces.astype(np.int32), |
| 134 | + ), |
| 135 | + ) |
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