| """ |
| Skeleton graph representation for topology-agnostic motion processing. |
| |
| Each skeleton is represented as a directed tree graph with: |
| - Joint features: rest offset, bone length, depth, degree, parent type, side tag |
| - Edge features: parent-child relations, geodesic distances |
| - Joint name embeddings: CLIP-encoded semantic features |
| |
| This is the foundation for the TopoSlots slot assignment module. |
| """ |
|
|
| import numpy as np |
| from dataclasses import dataclass, field |
| from typing import Optional |
|
|
|
|
| @dataclass |
| class SkeletonGraph: |
| """Unified skeleton graph representation for arbitrary topologies.""" |
|
|
| |
| joint_names: list[str] |
| parent_indices: list[int] |
| rest_offsets: np.ndarray |
|
|
| |
| num_joints: int = 0 |
| bone_lengths: np.ndarray = field(default_factory=lambda: np.array([])) |
| depths: np.ndarray = field(default_factory=lambda: np.array([])) |
| degrees: np.ndarray = field(default_factory=lambda: np.array([])) |
| adjacency: np.ndarray = field(default_factory=lambda: np.array([])) |
| geodesic_dist: np.ndarray = field(default_factory=lambda: np.array([])) |
| side_tags: list[str] = field(default_factory=list) |
| symmetry_pairs: list[tuple[int, int]] = field(default_factory=list) |
|
|
| |
| name_embeddings: Optional[np.ndarray] = None |
|
|
| def __post_init__(self): |
| self.num_joints = len(self.joint_names) |
| J = self.num_joints |
|
|
| if J == 0: |
| return |
|
|
| |
| self.bone_lengths = np.linalg.norm(self.rest_offsets, axis=-1) |
|
|
| |
| self.depths = np.zeros(J, dtype=np.int32) |
| for j in range(J): |
| d = 0 |
| p = self.parent_indices[j] |
| while p >= 0: |
| d += 1 |
| p = self.parent_indices[p] |
| self.depths[j] = d |
|
|
| |
| self.degrees = np.zeros(J, dtype=np.int32) |
| for j in range(J): |
| p = self.parent_indices[j] |
| if p >= 0: |
| self.degrees[p] += 1 |
|
|
| |
| self.adjacency = np.zeros((J, J), dtype=np.float32) |
| for j in range(J): |
| p = self.parent_indices[j] |
| if p >= 0: |
| self.adjacency[j, p] = 1.0 |
| self.adjacency[p, j] = 1.0 |
|
|
| |
| self.geodesic_dist = self._compute_geodesic_distances() |
|
|
| |
| self.side_tags = self._infer_side_tags() |
|
|
| |
| self.symmetry_pairs = self._find_symmetry_pairs() |
|
|
| def _compute_geodesic_distances(self) -> np.ndarray: |
| """BFS-based geodesic distance on skeleton tree.""" |
| J = self.num_joints |
| dist = np.full((J, J), fill_value=J + 1, dtype=np.int32) |
| np.fill_diagonal(dist, 0) |
|
|
| for i in range(J): |
| |
| queue = [i] |
| visited = {i} |
| while queue: |
| curr = queue.pop(0) |
| for j in range(J): |
| if self.adjacency[curr, j] > 0 and j not in visited: |
| dist[i, j] = dist[i, curr] + 1 |
| visited.add(j) |
| queue.append(j) |
|
|
| return dist.astype(np.float32) |
|
|
| def _infer_side_tags(self) -> list[str]: |
| """Infer left/right/center from joint names. |
| |
| Handles diverse naming conventions: |
| - 'left'/'right' anywhere: LeftArm, left_hip, RightFoot |
| - '_L'/'_R' suffix: Shoulder_L, UpperArm_R |
| - '_l_'/'_r_' infix: Bip01_L_Thigh, BN_Tai_R_01 |
| - 'L'/'R' prefix before uppercase: LHipJoint, RThumb |
| - '_L'/'_R' suffix before numbers: Leg_L_30_ |
| """ |
| import re |
| tags = [] |
| for name in self.joint_names: |
| n = name |
| nl = name.lower() |
|
|
| side = 'center' |
| |
| if 'left' in nl or 'lft' in nl: |
| side = 'left' |
| elif 'right' in nl or 'rgt' in nl: |
| side = 'right' |
| |
| elif re.search(r'[_]L(?:[_\d]|$)', n): |
| side = 'left' |
| elif re.search(r'[_]R(?:[_\d]|$)', n): |
| side = 'right' |
| |
| elif '_l_' in nl or nl.startswith('l_'): |
| side = 'left' |
| elif '_r_' in nl or nl.startswith('r_'): |
| side = 'right' |
| |
| elif re.match(r'^L[A-Z]', n): |
| side = 'left' |
| elif re.match(r'^R[A-Z]', n): |
| side = 'right' |
| |
| |
| elif re.search(r'(?:NPC|BN|Bn)_L[A-Z]', n): |
| side = 'left' |
| elif re.search(r'(?:NPC|BN|Bn)_R[A-Z]', n): |
| side = 'right' |
| |
| |
| elif re.search(r'[a-z0-9]L[A-Z_]', n) or re.search(r'[a-z0-9]L$', n): |
| side = 'left' |
| elif re.search(r'[a-z0-9]R[A-Z_]', n) or re.search(r'[a-z0-9]R$', n): |
| side = 'right' |
|
|
| tags.append(side) |
|
|
| return tags |
|
|
| def _find_symmetry_pairs(self) -> list[tuple[int, int]]: |
| """Find symmetric joint pairs based on naming conventions. |
| |
| Handles: Left↔Right, _L↔_R, _l_↔_r_, L-prefix↔R-prefix. |
| """ |
| import re |
| pairs = [] |
| used = set() |
|
|
| |
| swap_rules = [ |
| |
| (r'(?i)left', 'left', 'right'), |
| (r'(?i)right', 'right', 'left'), |
| |
| (r'_L(?=[_\d]|$)', '_L', '_R'), |
| (r'_R(?=[_\d]|$)', '_R', '_L'), |
| |
| (r'_l_', '_l_', '_r_'), |
| (r'_r_', '_r_', '_l_'), |
| |
| (r'^L(?=[A-Z])', 'L', 'R'), |
| (r'^R(?=[A-Z])', 'R', 'L'), |
| |
| (r'BN_L(?=[A-Z])', 'BN_L', 'BN_R'), |
| (r'BN_R(?=[A-Z])', 'BN_R', 'BN_L'), |
| (r'Bn_L(?=[A-Z])', 'Bn_L', 'Bn_R'), |
| (r'Bn_R(?=[A-Z])', 'Bn_R', 'Bn_L'), |
| |
| (r'NPC_L(?=[A-Z_])', 'NPC_L', 'NPC_R'), |
| (r'NPC_R(?=[A-Z_])', 'NPC_R', 'NPC_L'), |
| |
| (r'(?<=[a-z0-9])L(?=[A-Z_]|$)', 'L', 'R'), |
| (r'(?<=[a-z0-9])R(?=[A-Z_]|$)', 'R', 'L'), |
| ] |
|
|
| for i, name_i in enumerate(self.joint_names): |
| if i in used: |
| continue |
|
|
| mirror_name = None |
| for pattern, from_str, to_str in swap_rules: |
| if re.search(pattern, name_i): |
| mirror_name = re.sub(pattern, to_str, name_i, count=1) |
| break |
|
|
| if mirror_name and mirror_name != name_i: |
| mirror_lower = mirror_name.lower() |
| for j, name_j in enumerate(self.joint_names): |
| if j != i and j not in used and name_j.lower() == mirror_lower: |
| pairs.append((i, j)) |
| used.add(i) |
| used.add(j) |
| break |
|
|
| return pairs |
|
|
| def get_edge_list(self) -> list[tuple[int, int]]: |
| """Return parent-child edge list.""" |
| edges = [] |
| for j in range(self.num_joints): |
| p = self.parent_indices[j] |
| if p >= 0: |
| edges.append((p, j)) |
| return edges |
|
|
| def get_joint_features(self) -> np.ndarray: |
| """ |
| Compute per-joint feature vector for skeleton encoder input. |
| Returns: [J, D] where D = 3 (offset) + 1 (bone_len) + 1 (depth) + 1 (degree) + 3 (side one-hot) |
| """ |
| J = self.num_joints |
|
|
| |
| side_onehot = np.zeros((J, 3), dtype=np.float32) |
| for j, tag in enumerate(self.side_tags): |
| if tag == 'left': |
| side_onehot[j, 0] = 1.0 |
| elif tag == 'right': |
| side_onehot[j, 1] = 1.0 |
| else: |
| side_onehot[j, 2] = 1.0 |
|
|
| |
| max_offset = np.max(np.abs(self.rest_offsets)) + 1e-8 |
| norm_offsets = self.rest_offsets / max_offset |
|
|
| |
| max_bone = np.max(self.bone_lengths) + 1e-8 |
| norm_bones = (self.bone_lengths / max_bone).reshape(-1, 1) |
|
|
| |
| max_depth = max(self.depths.max(), 1) |
| norm_depths = (self.depths / max_depth).reshape(-1, 1).astype(np.float32) |
| max_degree = max(self.degrees.max(), 1) |
| norm_degrees = (self.degrees / max_degree).reshape(-1, 1).astype(np.float32) |
|
|
| features = np.concatenate([ |
| norm_offsets, |
| norm_bones, |
| norm_depths, |
| norm_degrees, |
| side_onehot, |
| ], axis=-1) |
|
|
| return features |
|
|
| def to_dict(self) -> dict: |
| """Serialize to dict for saving.""" |
| return { |
| 'joint_names': self.joint_names, |
| 'parent_indices': self.parent_indices, |
| 'rest_offsets': self.rest_offsets, |
| 'bone_lengths': self.bone_lengths, |
| 'depths': self.depths, |
| 'degrees': self.degrees, |
| 'adjacency': self.adjacency, |
| 'geodesic_dist': self.geodesic_dist, |
| 'side_tags': self.side_tags, |
| 'symmetry_pairs': self.symmetry_pairs, |
| 'name_embeddings': self.name_embeddings, |
| } |
|
|
| @classmethod |
| def from_dict(cls, d: dict) -> 'SkeletonGraph': |
| """Deserialize from dict.""" |
| sg = cls( |
| joint_names=d['joint_names'], |
| parent_indices=d['parent_indices'], |
| rest_offsets=d['rest_offsets'], |
| ) |
| if d.get('name_embeddings') is not None: |
| sg.name_embeddings = d['name_embeddings'] |
| return sg |
|
|
|
|
| |
| |
| |
|
|
| JOINT_NAME_ALIASES = { |
| |
| 'mixamorig:hips': 'pelvis', |
| 'mixamorig:spine': 'spine', |
| 'mixamorig:spine1': 'spine1', |
| 'mixamorig:spine2': 'chest', |
| 'mixamorig:neck': 'neck', |
| 'mixamorig:head': 'head', |
| 'mixamorig:leftshoulder': 'left shoulder', |
| 'mixamorig:leftarm': 'left upper arm', |
| 'mixamorig:leftforearm': 'left forearm', |
| 'mixamorig:lefthand': 'left hand', |
| 'mixamorig:rightshoulder': 'right shoulder', |
| 'mixamorig:rightarm': 'right upper arm', |
| 'mixamorig:rightforearm': 'right forearm', |
| 'mixamorig:righthand': 'right hand', |
| 'mixamorig:leftupleg': 'left upper leg', |
| 'mixamorig:leftleg': 'left lower leg', |
| 'mixamorig:leftfoot': 'left foot', |
| 'mixamorig:lefttoebase': 'left toe', |
| 'mixamorig:rightupleg': 'right upper leg', |
| 'mixamorig:rightleg': 'right lower leg', |
| 'mixamorig:rightfoot': 'right foot', |
| 'mixamorig:righttoebase': 'right toe', |
| |
| 'pelvis': 'pelvis', |
| 'l_hip': 'left hip', |
| 'r_hip': 'right hip', |
| 'spine1': 'lower spine', |
| 'l_knee': 'left knee', |
| 'r_knee': 'right knee', |
| 'spine2': 'upper spine', |
| 'l_ankle': 'left ankle', |
| 'r_ankle': 'right ankle', |
| 'spine3': 'chest', |
| 'l_foot': 'left foot', |
| 'r_foot': 'right foot', |
| 'neck': 'neck', |
| 'l_collar': 'left collar', |
| 'r_collar': 'right collar', |
| 'head': 'head', |
| 'l_shoulder': 'left shoulder', |
| 'r_shoulder': 'right shoulder', |
| 'l_elbow': 'left elbow', |
| 'r_elbow': 'right elbow', |
| 'l_wrist': 'left wrist', |
| 'r_wrist': 'right wrist', |
| |
| 'hips': 'pelvis', |
| 'spine': 'spine', |
| 'chest': 'chest', |
| 'leftforeleg': 'left fore leg', |
| 'rightforeleg': 'right fore leg', |
| 'lefthindleg': 'left hind leg', |
| 'righthindleg': 'right hind leg', |
| 'tail': 'tail', |
| 'tail1': 'tail base', |
| 'tail2': 'tail mid', |
| 'tail3': 'tail tip', |
| } |
|
|
|
|
| def normalize_joint_name(name: str) -> str: |
| """Normalize joint name to a canonical human-readable form.""" |
| key = name.lower().strip().replace(' ', '') |
| if key in JOINT_NAME_ALIASES: |
| return JOINT_NAME_ALIASES[key] |
|
|
| |
| import re |
| result = re.sub(r'([a-z])([A-Z])', r'\1 \2', name) |
| result = re.sub(r'[_:]', ' ', result) |
| return result.lower().strip() |
|
|