#!/usr/bin/env python3 """ Pose Interpolation & Smoothing Module (A12) ============================================ Provides robust smoothing strategies for pose-estimation keypoint sequences, eliminating jitter, filling detection gaps, and removing outlier spikes to produce clean animations. Supported strategies -------------------- - ``moving_average`` Box-car (sliding window) average - ``gaussian`` Gaussian-weighted convolution - ``exponential`` Exponential moving average (EMA) – usable online - ``median`` Median filter – excellent against isolated spikes - ``savitzky_golay`` Savitzky-Golay filter – preserves signal shape - ``kalman`` 1-D constant-velocity Kalman filter (online) - ``spline`` Cubic-spline interpolation through high-confidence points, discarding outliers - ``hybrid`` (Default) Outlier detection → interpolation → Savitzky-Golay smoothing Data formats ------------ The module accepts two common representations: 1. **App‑style list of dicts** (from ``app.py`` ``all_keypoints``): .. code:: python [ { "poses": [{ "keypoints": [ {"x": 0.5, "y": 0.3, "score": 0.92, "name": "nose"}, ... ] }], "frame_id": 0, ... }, ... ] 2. **NumPy array** with shape ``(frames, joints, 3)`` where the last axis holds ``[x, y, confidence]``. Basic usage ----------- .. code:: python from A12.pose_interpolator import PoseInterpolator, smooth_pose_sequence # High-level convenience (recommended) smoothed = smooth_pose_sequence(all_keypoints, strategy="hybrid") # Low-level API interp = PoseInterpolator(strategy="kalman", process_noise=0.001, measurement_noise=0.05) arr = interp.keypoints_to_array(all_keypoints) smoothed_arr = interp.fit_transform(arr) """ from __future__ import annotations import warnings from collections import defaultdict from copy import deepcopy from enum import Enum from typing import Any, Dict, List, Optional, Sequence, Tuple, Union import numpy as np import pandas as pd # --------------------------------------------------------------------------- # Try importing scipy – it is a transitive dependency of statsmodels / # scikit-learn (both in requirements.txt), but we guard in case it is # not available for some strategies. # --------------------------------------------------------------------------- try: from scipy import interpolate as _scipy_interpolate, ndimage, signal as _scipy_signal _HAS_SCIPY = True except ImportError: # pragma: no cover _HAS_SCIPY = False # --------------------------------------------------------------------------- # Standard joint-name lists (for reference / validation) # --------------------------------------------------------------------------- COCO_KEYPOINTS: List[str] = [ "nose", "left_eye", "right_eye", "left_ear", "right_ear", "left_shoulder", "right_shoulder", "left_elbow", "right_elbow", "left_wrist", "right_wrist", "left_hip", "right_hip", "left_knee", "right_knee", "left_ankle", "right_ankle", ] A11_JOINTS: List[str] = [ "head", "left_shoulder", "left_elbow", "right_shoulder", "right_elbow", "left_hand", "right_hand", "left_hip", "right_hip", "left_knee", "right_knee", "left_foot", "right_foot", ] class SmoothingStrategy(Enum): """Available smoothing strategies.""" MOVING_AVERAGE = "moving_average" GAUSSIAN = "gaussian" EXPONENTIAL = "exponential" MEDIAN = "median" SAVITZKY_GOLAY = "savitzky_golay" KALMAN = "kalman" SPLINE = "spline" HYBRID = "hybrid" # =================================================================== # Small helpers # =================================================================== def _validate_array(arr: np.ndarray) -> np.ndarray: """Ensure *arr* is a contiguous float64 array of shape (F, J, 3).""" arr = np.asarray(arr, dtype=np.float64) if arr.ndim != 3 or arr.shape[2] != 3: raise ValueError( f"Expected array of shape (frames, joints, 3), got {arr.shape}" ) return arr def _ensure_scipy(strategy_name: str) -> None: if not _HAS_SCIPY: raise ImportError( f"Strategy '{strategy_name}' requires scipy, which is not installed." ) # =================================================================== # 1-D Kalman filter (constant velocity) – no external dependencies # =================================================================== class KalmanFilter1D: """ Simple 1-D constant-velocity Kalman filter. State: [position, velocity]ᵀ Measurement: position Parameters ---------- process_noise : float Process noise (Q) – higher values trust the model less. measurement_noise : float Measurement noise (R) – higher values trust measurements less. Notes ----- When ``update(None)`` is called the filter performs a pure prediction step, allowing it to bridge gaps in the detection sequence. """ def __init__( self, process_noise: float = 0.001, measurement_noise: float = 0.1 ) -> None: # State transition (constant velocity, dt = 1) self._A = np.array([[1, 1], [0, 1]], dtype=np.float64) self._H = np.array([[1, 0]], dtype=np.float64) # observe position only self._Q = np.eye(2, dtype=np.float64) * process_noise self._R = np.array([[measurement_noise]], dtype=np.float64) self._P = np.eye(2, dtype=np.float64) * 1.0 self._x = np.zeros(2, dtype=np.float64) @property def position(self) -> float: """Current position estimate.""" return float(self._x[0]) def reset(self, position: float = 0.0) -> None: """Re-initialise filter with a new position and zero velocity.""" self._x = np.array([position, 0.0], dtype=np.float64) self._P = np.eye(2, dtype=np.float64) * 1.0 def update(self, measurement: Optional[float]) -> float: """ Predict + (optionally) update step. Parameters ---------- measurement : float or None Observed position. If ``None``, only the prediction step runs. Returns ------- float Filtered position estimate. """ # -- predict -- self._x = self._A @ self._x self._P = self._A @ self._P @ self._A.T + self._Q if measurement is not None: # -- update -- y = measurement - (self._H @ self._x) # innovation S = self._H @ self._P @ self._H.T + self._R K = self._P @ self._H.T @ np.linalg.inv(S) # Kalman gain self._x = self._x + (K @ y).ravel() self._P = (np.eye(2) - K @ self._H) @ self._P return self.position # =================================================================== # Outlier detection utilities # =================================================================== def detect_outliers_velocity( positions: np.ndarray, threshold: float = 3.0, min_confidence: float = 0.2, confidences: Optional[np.ndarray] = None, ) -> np.ndarray: """ Flag outliers based on inter-frame velocity. A point is considered an outlier if its frame-to-frame displacement exceeds *threshold* times the median absolute deviation of all non-zero displacements across the sequence. Parameters ---------- positions : (F,) ndarray 1-D coordinate signal (may contain NaN). threshold : float MAD multiplier. min_confidence : float Points with confidence below this are already treated as missing – they are **not** flagged here (they will be interpolated later). confidences : (F,) ndarray or None Confidence values (same length as *positions*). Returns ------- (F,) bool ndarray ``True`` where the point is an outlier. """ positions = np.asarray(positions, dtype=np.float64) n = len(positions) outlier_mask = np.zeros(n, dtype=bool) # Low-confidence points are handled by the interpolation stage. if confidences is not None: confidences = np.asarray(confidences, dtype=np.float64) low_conf = confidences < min_confidence else: low_conf = np.isnan(positions) # Compute finite differences diffs = np.abs(np.diff(positions)) valid_diffs = diffs[np.isfinite(diffs)] if len(valid_diffs) == 0: return outlier_mask mad = np.median(np.abs(valid_diffs - np.median(valid_diffs))) if mad == 0: mad = np.mean(valid_diffs) + 1e-9 # fallback limit = threshold * mad * 1.4826 # 1.4826 converts MAD → std for normal for i in range(1, n): if low_conf[i]: continue d = abs(positions[i] - positions[i - 1]) if np.isfinite(d) and d > limit: outlier_mask[i] = True return outlier_mask def detect_outliers_zscore( positions: np.ndarray, threshold: float = 3.0, min_confidence: float = 0.2, confidences: Optional[np.ndarray] = None, ) -> np.ndarray: """ Flag outliers whose absolute z-score exceeds *threshold*. Computed against the sequence mean / std (ignoring NaN). """ positions = np.asarray(positions, dtype=np.float64) n = len(positions) outlier_mask = np.zeros(n, dtype=bool) if confidences is not None: confidences = np.asarray(confidences, dtype=np.float64) low_conf = confidences < min_confidence else: low_conf = np.isnan(positions) finite = np.isfinite(positions) & ~low_conf if not finite.any(): return outlier_mask mu = np.mean(positions[finite]) sigma = np.std(positions[finite]) if sigma == 0: return outlier_mask z = np.abs(positions - mu) / sigma outlier_mask = (z > threshold) & ~low_conf & np.isfinite(positions) return outlier_mask # =================================================================== # Core interpolator class # =================================================================== class PoseInterpolator: """ Smooth a multi-joint pose trajectory using a configurable strategy. Parameters ---------- strategy : str or SmoothingStrategy One of the strategies listed in :class:`SmoothingStrategy`. window_size : int Window length (frames) for moving‑average, gaussian, median, savitzky_golay. Must be odd for savitzky_golay and median. poly_order : int Polynomial order for Savitzky‑Golay (must be < window_size). sigma : float Standard deviation of the Gaussian kernel. alpha : float Smoothing factor for exponential moving average (0 < α ≤ 1). Larger α gives more weight to recent observations. process_noise : float Kalman-filter process noise. measurement_noise : float Kalman-filter measurement noise. outlier_method : str ``"velocity"`` or ``"zscore"`` – used by the hybrid strategy. outlier_threshold : float MAD / z-score multiplier for outlier flagging. min_confidence : float Keypoints with confidence below this are treated as missing and interpolated regardless of strategy. fill_method : str How to fill missing / masked positions before smoothing: ``"linear"``, ``"spline"``, or ``"forward"`` (last valid carried forward). """ def __init__( self, strategy: Union[str, SmoothingStrategy] = SmoothingStrategy.HYBRID, window_size: int = 5, poly_order: int = 2, sigma: float = 1.0, alpha: float = 0.3, process_noise: float = 0.001, measurement_noise: float = 0.05, outlier_method: str = "velocity", outlier_threshold: float = 1.0, min_confidence: float = 0.2, fill_method: str = "linear", ) -> None: if isinstance(strategy, str): strategy = SmoothingStrategy(strategy) self.strategy = strategy self.window_size = window_size self.poly_order = poly_order self.sigma = sigma self.alpha = float(np.clip(alpha, 0.0, 1.0)) self.process_noise = process_noise self.measurement_noise = measurement_noise self.outlier_method = outlier_method self.outlier_threshold = outlier_threshold self.min_confidence = min_confidence self.fill_method = fill_method # Internal state (set during fit / transform) self._joint_names: List[str] = [] self._n_frames: int = 0 self._n_joints: int = 0 # --- public API --------------------------------------------------- @staticmethod def keypoints_to_array( frames_data: List[Dict[str, Any]], joint_names: Optional[List[str]] = None, ) -> np.ndarray: """ Convert *app.py* style frame dicts into a ``(F, J, 3)`` array. Parameters ---------- frames_data : list of dict Each dict must have the structure produced by ``extract_joint_positions_from_movenet()`` (see module docstring). joint_names : list of str, optional Names of joints in the desired order. When ``None``, ``COCO_KEYPOINTS`` is used. Returns ------- ndarray of shape ``(len(frames_data), len(joint_names), 3)`` The last axis holds ``[x, y, confidence]``. Missing values are represented as ``NaN``. """ if joint_names is None: joint_names = COCO_KEYPOINTS n_frames = len(frames_data) n_joints = len(joint_names) arr = np.full((n_frames, n_joints, 3), np.nan, dtype=np.float64) for f_idx, frame in enumerate(frames_data): poses = frame.get("poses", []) if not poses: continue kps = poses[0].get("keypoints", []) kp_map = {kp.get("name"): kp for kp in kps} for j_idx, name in enumerate(joint_names): kp = kp_map.get(name) if kp is None: continue x, y, c = kp.get("x"), kp.get("y"), kp.get("score") arr[f_idx, j_idx, 0] = x if x is not None else np.nan arr[f_idx, j_idx, 1] = y if y is not None else np.nan arr[f_idx, j_idx, 2] = ( c if c is not None else np.nan ) return arr @staticmethod def array_to_keypoints( arr: np.ndarray, frames_data: List[Dict[str, Any]], joint_names: Optional[List[str]] = None, ) -> List[Dict[str, Any]]: """ Write a smoothed ``(F, J, 3)`` array back into the original app‑style frame dicts (returns a **deep copy** of *frames_data* with modified keypoint coordinates). Confidence values are preserved from the original data; coordinates are overwritten with the smoothed values. """ if joint_names is None: joint_names = COCO_KEYPOINTS arr = _validate_array(arr) n_frames, n_joints, _ = arr.shape out: List[Dict[str, Any]] = deepcopy(frames_data) for f_idx in range(min(n_frames, len(out))): poses = out[f_idx].get("poses", []) if not poses: continue kps = poses[0].get("keypoints", []) kp_map = {kp.get("name"): kp for kp in kps} for j_idx, name in enumerate(joint_names): kp = kp_map.get(name) if kp is None: continue if not np.isnan(arr[f_idx, j_idx, 0]): kp["x"] = float(arr[f_idx, j_idx, 0]) if not np.isnan(arr[f_idx, j_idx, 1]): kp["y"] = float(arr[f_idx, j_idx, 1]) # confidence deliberately kept from original return out @staticmethod def array_to_dataframe( arr: np.ndarray, joint_names: Optional[List[str]] = None, frame_numbers: Optional[Sequence[int]] = None, ) -> "pd.DataFrame": """ Convert ``(F, J, 3)`` array to a DataFrame compatible with A11 visualisation tools (columns ``_x``, ``_y``, optionally ``_z`` and a ``FrameNo`` column). """ if joint_names is None: joint_names = COCO_KEYPOINTS arr = _validate_array(arr) n_frames, n_joints, _ = arr.shape data: Dict[str, List[float]] = {} for j_idx, name in enumerate(joint_names): data[f"{name}_x"] = arr[:, j_idx, 0].tolist() data[f"{name}_y"] = arr[:, j_idx, 1].tolist() if frame_numbers is None: data["FrameNo"] = list(range(n_frames)) else: data["FrameNo"] = list(frame_numbers) return pd.DataFrame(data) def fit_transform(self, arr: np.ndarray) -> np.ndarray: """ Run the full smoothing pipeline on one array. Parameters ---------- arr : (F, J, 3) ndarray Raw coordinates + confidence. Returns ------- (F, J, 3) ndarray Smoothed coordinates. The confidence channel is passed through unchanged (it is used internally for filtering). """ arr = _validate_array(arr) self._n_frames, self._n_joints, _ = arr.shape # Always mask low-confidence points before any processing arr = self._mask_low_confidence(arr) if self.strategy == SmoothingStrategy.KALMAN: smoothed = self._apply_kalman(arr) elif self.strategy == SmoothingStrategy.EXPONENTIAL: smoothed = self._apply_ema(arr) elif self.strategy == SmoothingStrategy.SPLINE: smoothed = self._apply_spline(arr) elif self.strategy == SmoothingStrategy.HYBRID: smoothed = self._apply_hybrid(arr) else: # scipy-based windowed filters smoothed = self._apply_windowed(arr) return smoothed def fit_transform_frames( self, frames_data: List[Dict[str, Any]], joint_names: Optional[List[str]] = None, ) -> List[Dict[str, Any]]: """ High-level convenience: accept app‑style frame dicts, return smoothed frame dicts. Parameters ---------- frames_data : list of dict Raw per-frame keypoint dicts. joint_names : list of str, optional Ordered joint names. Returns ------- list of dict Deep-copied frame dicts with smoothed coordinates. """ if joint_names is None: joint_names = COCO_KEYPOINTS self._joint_names = list(joint_names) arr = self.keypoints_to_array(frames_data, joint_names) smoothed = self.fit_transform(arr) return self.array_to_keypoints(smoothed, frames_data, joint_names) # --- internal steps ------------------------------------------------ def _mask_low_confidence(self, arr: np.ndarray) -> np.ndarray: """Set coordinates to NaN where confidence < *min_confidence*.""" arr = arr.copy() conf = arr[:, :, 2] low = conf < self.min_confidence arr[low, 0] = np.nan arr[low, 1] = np.nan return arr def _fill_missing(self, signal_1d: np.ndarray) -> np.ndarray: """ Fill NaN values in a 1-D signal. Returns a copy with NaNs replaced according to *fill_method*. """ s = np.asarray(signal_1d, dtype=np.float64).copy() n = len(s) valid = np.isfinite(s) if valid.all(): return s if self.fill_method == "forward": # Forward fill last = np.nan for i in range(n): if np.isfinite(s[i]): last = s[i] elif not np.isnan(last): s[i] = last # Backward fill for leading NaN first = np.nan for i in range(n - 1, -1, -1): if np.isfinite(s[i]): first = s[i] elif not np.isnan(first): s[i] = first return s if self.fill_method == "spline": _ensure_scipy("spline fill") idx = np.arange(n) if valid.sum() < 3: # Not enough points for cubic spline → fall back to linear return self._fill_linear(s, idx, valid) try: spl = _scipy_interpolate.UnivariateSpline( idx[valid], s[valid], s=0, ext="const" ) s[~valid] = spl(idx[~valid]) except Exception: s = self._fill_linear(s, idx, valid) return s # Default: linear idx = np.arange(n) return self._fill_linear(s, idx, valid) @staticmethod def _fill_linear(s: np.ndarray, idx: np.ndarray, valid: np.ndarray) -> np.ndarray: """Linear interpolation (also handles edge extrapolation).""" n = len(s) s_filled = s.copy() if valid.sum() >= 2: s_filled[~valid] = np.interp(idx[~valid], idx[valid], s[valid]) elif valid.sum() == 1: s_filled[~valid] = s[valid][0] else: s_filled[:] = 0.0 return s_filled # --- strategy implementations -------------------------------------- def _apply_windowed(self, arr: np.ndarray) -> np.ndarray: """scipy-based sliding-window filters.""" _ensure_scipy(self.strategy.value) result = arr.copy() ws = self._effective_window() for j in range(self._n_joints): for c in [0, 1]: # x, y sig = result[:, j, c] valid = np.isfinite(sig) if not valid.any(): continue # Fill gaps first sig_filled = self._fill_missing(sig) if self.strategy == SmoothingStrategy.MOVING_AVERAGE: kernel = np.ones(ws) / ws smoothed = np.convolve(sig_filled, kernel, mode="same") elif self.strategy == SmoothingStrategy.GAUSSIAN: # Create Gaussian kernel ax = np.arange(-(ws // 2), ws // 2 + 1) kernel = np.exp(-0.5 * (ax / self.sigma) ** 2) kernel /= kernel.sum() smoothed = np.convolve(sig_filled, kernel, mode="same") elif self.strategy == SmoothingStrategy.MEDIAN: smoothed = ndimage.median_filter(sig_filled, size=ws) elif self.strategy == SmoothingStrategy.SAVITZKY_GOLAY: if ws >= len(sig_filled): ws = len(sig_filled) if len(sig_filled) % 2 == 1 else len(sig_filled) - 1 if ws <= self.poly_order: ws = self.poly_order + 2 if ws % 2 == 0: ws += 1 try: smoothed = _scipy_signal.savgol_filter( sig_filled, ws, self.poly_order, mode="nearest" ) except Exception: smoothed = sig_filled else: smoothed = sig_filled # Restore original NaN positions so downstream code # knows which points were originally missing. smoothed[~valid] = np.nan result[:, j, c] = smoothed return result def _apply_ema(self, arr: np.ndarray) -> np.ndarray: """Exponential moving average (online-capable).""" result = arr.copy() alpha = self.alpha for j in range(self._n_joints): for c in [0, 1]: sig = arr[:, j, c] out = np.empty_like(sig) ema = np.nan for i in range(len(sig)): if np.isfinite(sig[i]): if np.isnan(ema): ema = sig[i] else: ema = alpha * sig[i] + (1 - alpha) * ema out[i] = ema result[:, j, c] = out return result def _apply_kalman(self, arr: np.ndarray) -> np.ndarray: """Per-joint, per-coordinate Kalman filter (forward pass).""" result = arr.copy() kf = KalmanFilter1D(self.process_noise, self.measurement_noise) for j in range(self._n_joints): for c in [0, 1]: kf.reset() # Initialise with first valid point (if any) initialized = False for i in range(self._n_frames): val = arr[i, j, c] if np.isfinite(val): kf.reset(float(val)) initialized = True break if not initialized: result[:, j, c] = np.nan continue result[0, j, c] = kf.position for i in range(1, self._n_frames): meas = arr[i, j, c] pos = kf.update( float(meas) if np.isfinite(meas) else None ) result[i, j, c] = pos return result def _apply_spline(self, arr: np.ndarray) -> np.ndarray: """ Fit a cubic smoothing spline through high-confidence points. Low-confidence points are excluded from the fit and replaced by the spline evaluation. """ _ensure_scipy("spline") result = arr.copy() n = self._n_frames idx = np.arange(n, dtype=np.float64) for j in range(self._n_joints): for c in [0, 1]: sig = arr[:, j, c] valid = np.isfinite(sig) if valid.sum() < 3: result[:, j, c] = self._fill_missing(sig) continue try: spl = _scipy_interpolate.UnivariateSpline( idx[valid], sig[valid], s=len(valid) * 0.5 ) result[:, j, c] = spl(idx) except Exception: result[:, j, c] = self._fill_missing(sig) return result def _apply_hybrid(self, arr: np.ndarray) -> np.ndarray: """ Hybrid pipeline: 1. Detect positional outliers (velocity or z-score). 2. Mask outliers + low-confidence points → NaN. 3. Interpolate NaN gaps. 4. Apply Savitzky-Golay smoothing. """ result = arr.copy() for j in range(self._n_joints): for c in [0, 1]: sig = arr[:, j, c] conf = arr[:, j, 2] # Step 1 – outlier detection if self.outlier_method == "zscore": outlier = detect_outliers_zscore( sig, self.outlier_threshold, self.min_confidence, conf ) else: outlier = detect_outliers_velocity( sig, self.outlier_threshold, self.min_confidence, conf ) # Step 2 – mask sig_clean = sig.copy() sig_clean[outlier] = np.nan # low-confidence already masked by _mask_low_confidence # Step 3 – interpolate sig_filled = self._fill_missing(sig_clean) # Step 4 – Savitzky-Golay _ensure_scipy("savitzky_golay") ws = self._effective_window() if ws >= len(sig_filled): ws = len(sig_filled) if len(sig_filled) % 2 == 1 else len(sig_filled) - 1 if ws <= self.poly_order: ws = self.poly_order + 2 if ws % 2 == 0: ws += 1 try: smoothed = _scipy_signal.savgol_filter( sig_filled, ws, self.poly_order, mode="nearest" ) except Exception: smoothed = sig_filled # Restore NaN for originally completely missing frames orig_missing = ~np.isfinite(sig) & ~outlier smoothed[orig_missing] = np.nan result[:, j, c] = smoothed return result def _effective_window(self) -> int: """Clamp window size to available frames and ensure odd.""" ws = min(self.window_size, self._n_frames) if ws % 2 == 0: ws -= 1 return max(ws, 3) # =================================================================== # High-level convenience function # =================================================================== def smooth_pose_sequence( frames_data: List[Dict[str, Any]], strategy: Union[str, SmoothingStrategy] = SmoothingStrategy.HYBRID, joint_names: Optional[List[str]] = None, **kwargs: Any, ) -> List[Dict[str, Any]]: """ Smooth an entire pose sequence with a single call. Parameters ---------- frames_data : list of dict Per-frame keypoint dicts in the format produced by ``extract_joint_positions_from_movenet()`` in ``app.py``. strategy : str or SmoothingStrategy Smoothing strategy to use (default: ``"hybrid"``). joint_names : list of str, optional Ordered joint names (defaults to COCO 17). **kwargs Passed through to :class:`PoseInterpolator` (window_size, alpha, outlier_threshold, …). Returns ------- list of dict Deep copy of *frames_data* with smoothed (x, y) coordinates. Examples -------- >>> # Quick hybrid smoothing (recommended for animations) >>> smoothed = smooth_pose_sequence(all_keypoints, strategy="hybrid") >>> # Light EMA for near-real-time use >>> smoothed = smooth_pose_sequence(all_keypoints, strategy="exponential", ... alpha=0.15) >>> # Strong outlier removal for noisy recordings >>> smoothed = smooth_pose_sequence(all_keypoints, strategy="hybrid", ... outlier_method="zscore", ... outlier_threshold=2.5, ... window_size=7) """ interpolator = PoseInterpolator(strategy=strategy, **kwargs) return interpolator.fit_transform_frames(frames_data, joint_names=joint_names) # =================================================================== # Smoke test (runs when module is executed directly) # =================================================================== if __name__ == "__main__": # Generate a synthetic trajectory with gaps and spikes np.random.seed(42) n_frames = 100 n_joints = 3 # nose, left_shoulder, right_shoulder t = np.linspace(0, 4 * np.pi, n_frames) # Ground truth – smooth sinusoid true_x = np.sin(t) * 0.3 + 0.5 true_y = np.cos(t) * 0.2 + 0.5 # Build array: (F, J, 3) raw = np.zeros((n_frames, n_joints, 3), dtype=np.float64) for j in range(n_joints): raw[:, j, 0] = true_x + np.random.randn(n_frames) * 0.02 raw[:, j, 1] = true_y + np.random.randn(n_frames) * 0.02 raw[:, j, 2] = 0.9 # high confidence # Inject outliers raw[20, 0, 0] += 0.4 # spike raw[50, 0, 1] -= 0.3 raw[75, 0, 0] += 0.5 # Inject gaps raw[40:45, 1, :] = np.nan raw[60:65, 1, :] = np.nan raw[80, 1, :] = np.nan # --- Test each strategy ------------------------------------------- strategies = [ SmoothingStrategy.HYBRID, SmoothingStrategy.MOVING_AVERAGE, SmoothingStrategy.GAUSSIAN, SmoothingStrategy.EXPONENTIAL, SmoothingStrategy.MEDIAN, SmoothingStrategy.SAVITZKY_GOLAY, SmoothingStrategy.KALMAN, SmoothingStrategy.SPLINE, ] print(f"{'Strategy':<22s} {'MAE (x)':>10s} {'MAE (y)':>10s}") print("-" * 44) for strat in strategies: interp = PoseInterpolator(strategy=strat) smoothed = interp.fit_transform(raw.copy()) # Mean absolute error against ground truth (only first joint) mae_x = np.nanmean(np.abs(smoothed[:, 0, 0] - true_x)) mae_y = np.nanmean(np.abs(smoothed[:, 0, 1] - true_y)) print(f"{strat.value:<22s} {mae_x:10.6f} {mae_y:10.6f}") # --- Test high-level convenience ---------------------------------- frames_data = PoseInterpolator.array_to_keypoints( raw, [ { "poses": [ { "pose_id": 0, "keypoints": [ { "x": raw[i, j, 0], "y": raw[i, j, 1], "score": raw[i, j, 2], "name": COCO_KEYPOINTS[j], } for j in range(n_joints) ], } ], "frame_id": i, } for i in range(n_frames) ], joint_names=COCO_KEYPOINTS[:n_joints], ) smoothed_frames = smooth_pose_sequence(frames_data, strategy="hybrid") print(f"\nHigh-level convenience: processed {len(smoothed_frames)} frames ✓") # Convert to DataFrame for A11 compatibility df = PoseInterpolator.array_to_dataframe( raw, joint_names=COCO_KEYPOINTS[:n_joints] ) print(f"DataFrame conversion: {df.shape} ✓") print("\nAll tests passed.")