""" 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.""" # Basic structure joint_names: list[str] # [J] joint names parent_indices: list[int] # [J] parent index (-1 for root) rest_offsets: np.ndarray # [J, 3] rest-pose offsets from parent # Derived features (computed in __post_init__) num_joints: int = 0 bone_lengths: np.ndarray = field(default_factory=lambda: np.array([])) # [J] depths: np.ndarray = field(default_factory=lambda: np.array([])) # [J] tree depth degrees: np.ndarray = field(default_factory=lambda: np.array([])) # [J] num children adjacency: np.ndarray = field(default_factory=lambda: np.array([])) # [J, J] binary geodesic_dist: np.ndarray = field(default_factory=lambda: np.array([])) # [J, J] side_tags: list[str] = field(default_factory=list) # [J] 'left'/'right'/'center' symmetry_pairs: list[tuple[int, int]] = field(default_factory=list) # Semantic features (filled by encode_joint_names) name_embeddings: Optional[np.ndarray] = None # [J, D_clip] def __post_init__(self): self.num_joints = len(self.joint_names) J = self.num_joints if J == 0: return # Bone lengths self.bone_lengths = np.linalg.norm(self.rest_offsets, axis=-1) # [J] # Tree depth via BFS from root 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 # Degree (number of children) 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 # Adjacency matrix (undirected) 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 # Geodesic distances via BFS self.geodesic_dist = self._compute_geodesic_distances() # Side tags from joint names self.side_tags = self._infer_side_tags() # Symmetry pairs 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): # BFS from joint i 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 # preserve case for regex nl = name.lower() side = 'center' # Priority 1: explicit 'left'/'right' if 'left' in nl or 'lft' in nl: side = 'left' elif 'right' in nl or 'rgt' in nl: side = 'right' # Priority 2: _L / _R suffix (with optional trailing digits/underscores) elif re.search(r'[_]L(?:[_\d]|$)', n): side = 'left' elif re.search(r'[_]R(?:[_\d]|$)', n): side = 'right' # Priority 3: _l_ / _r_ infix elif '_l_' in nl or nl.startswith('l_'): side = 'left' elif '_r_' in nl or nl.startswith('r_'): side = 'right' # Priority 4: L/R prefix before uppercase (LHipJoint, RThumb) elif re.match(r'^L[A-Z]', n): side = 'left' elif re.match(r'^R[A-Z]', n): side = 'right' # Priority 5: prefix_L / prefix_R patterns # NPC_LLeg1, NPC_RArm1, BN_LWing01, BN_RWing01, ArmL, ArmR, LegR, etc. 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' # Priority 6: {Word}L{Upper} or {Word}R{Upper} pattern # Catches: ArmLClaw, ElkLFemur, ElkRScapula, LegR_01_, etc. 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() # Build replacement rules: (pattern, left_repl, right_repl) swap_rules = [ # Full words (r'(?i)left', 'left', 'right'), (r'(?i)right', 'right', 'left'), # _L / _R suffix (preserving case/context) (r'_L(?=[_\d]|$)', '_L', '_R'), (r'_R(?=[_\d]|$)', '_R', '_L'), # _l_ / _r_ infix (r'_l_', '_l_', '_r_'), (r'_r_', '_r_', '_l_'), # L/R prefix before uppercase (r'^L(?=[A-Z])', 'L', 'R'), (r'^R(?=[A-Z])', 'R', 'L'), # BN_L/BN_R prefix (BN_LWing01 ↔ BN_RWing01) (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'), # NPC_L/NPC_R prefix (NPC_LLeg1 ↔ NPC_RLeg1) (r'NPC_L(?=[A-Z_])', 'NPC_L', 'NPC_R'), (r'NPC_R(?=[A-Z_])', 'NPC_R', 'NPC_L'), # {word}L{Upper} ↔ {word}R{Upper} (ElkLFemur↔ElkRFemur, ArmL↔ArmR) (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 tags as one-hot: [left, right, center] 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 # Normalize rest offsets max_offset = np.max(np.abs(self.rest_offsets)) + 1e-8 norm_offsets = self.rest_offsets / max_offset # Normalize bone lengths max_bone = np.max(self.bone_lengths) + 1e-8 norm_bones = (self.bone_lengths / max_bone).reshape(-1, 1) # Normalize depth/degree 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, # [J, 3] norm_bones, # [J, 1] norm_depths, # [J, 1] norm_degrees, # [J, 1] side_onehot, # [J, 3] ], axis=-1) # [J, 9] 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 normalization (alias table) # ============================================================ JOINT_NAME_ALIASES = { # Mixamo naming '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', # SMPL naming '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', # Common animal naming '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] # Fallback: split camelCase and add spaces import re result = re.sub(r'([a-z])([A-Z])', r'\1 \2', name) result = re.sub(r'[_:]', ' ', result) return result.lower().strip()