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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()
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