"""Canonical 3-D radar point-cloud extraction used by ``processor --pcd``.""" import numpy as np from utils.extract_radar_data import iiqq_to_iq, mimo RANGE_FFT_SIZE = 256 DOPPLER_FFT_SIZE = 64 AZIMUTH_FFT_SIZE = 32 ELEVATION_FFT_SIZE = 8 RANGE_RES_M = 0.04375 CAMERA_POS_IN_RADAR_M = np.array([-0.08, 0.10, 0.05], dtype=np.float32) def _hann(length: int) -> np.ndarray: return np.ones(length, dtype=np.float32) if length <= 2 else np.hanning(length).astype(np.float32) def _fft(data: np.ndarray, axis: int, size: int | None = None, shift: bool = False) -> np.ndarray: shape = [1] * data.ndim shape[axis] = data.shape[axis] result = np.fft.fft(data * _hann(data.shape[axis]).reshape(shape), n=size, axis=axis) return np.fft.fftshift(result, axes=axis) if shift else result def _training(values: np.ndarray, index: int, win: int, guard: int, cyclic: bool): left = np.arange(index - guard - win, index - guard) right = np.arange(index + guard + 1, index + guard + win + 1) if cyclic: return values[left % len(values)], values[right % len(values)] if left[0] < 0 or right[-1] >= len(values): return None, None return values[left], values[right] def _cfar(values: np.ndarray, axis: int, mode: int, win: int, guard: int, noise_div: int, cyclic: bool, threshold_db: float) -> np.ndarray: data = np.moveaxis(values, axis, -1) detected = np.zeros_like(data, dtype=bool) scale = 10.0 ** (threshold_db / 20.0) for outer in np.ndindex(data.shape[:-1]): row = data[outer] for cut in range(len(row)): left, right = _training(row, cut, win, guard, cyclic) if left is None: continue left_sum, right_sum = float(left.sum()), float(right.sum()) if mode == 0: noise = (left_sum + right_sum) / (2**noise_div) elif mode == 1: noise = max(left_sum, right_sum) / (2**noise_div) else: noise = min(left_sum, right_sum) / (2**noise_div) detected[outer + (cut,)] = row[cut] > noise * scale return np.moveaxis(detected, -1, axis) def _local_maxima(values: np.ndarray) -> np.ndarray: rows, cols = values.shape output = np.zeros_like(values, dtype=bool) for row in range(rows): for col in range(cols): center = values[row, col] maximum = True for dr in (-1, 0, 1): for dc in (-1, 0, 1): if dr == dc == 0: continue rr = (row + dr) % rows cc = col + dc if cc < 0 or cc >= cols: continue if values[rr, cc] >= center: maximum = False break if not maximum: break output[row, col] = maximum return output def _xyz(snapshot: np.ndarray, range_m: float) -> np.ndarray | None: window = _hann(2)[:, None] * _hann(8)[None, :] spectrum = np.fft.fftshift(np.fft.fft2(snapshot * window, s=(ELEVATION_FFT_SIZE, AZIMUTH_FFT_SIZE)), axes=(0, 1)) elevation, azimuth = np.unravel_index(np.abs(spectrum).argmax(), spectrum.shape) ux = float(np.clip(2.0 * (azimuth - AZIMUTH_FFT_SIZE // 2) / AZIMUTH_FFT_SIZE, -1, 1)) uy = float(np.clip(2.0 * (elevation - ELEVATION_FFT_SIZE // 2) / ELEVATION_FFT_SIZE, -1, 1)) uz_sq = 1.0 - ux * ux - uy * uy if uz_sq <= 0: return None return np.array([range_m * ux, range_m * uy, range_m * np.sqrt(uz_sq)], dtype=np.float32) def _nearest_per_ray(points: np.ndarray) -> np.ndarray: if len(points) == 0: return np.empty((0, 3), dtype=np.float32) ranges = np.linalg.norm(points, axis=1) valid = ranges > 1e-6 points, ranges = points[valid], ranges[valid] chosen: dict[tuple[float, float, float], int] = {} for index, (direction, distance) in enumerate(zip(np.round(points / ranges[:, None], 6), ranges)): key = tuple(float(x) for x in direction) if key not in chosen or distance < ranges[chosen[key]]: chosen[key] = index return points[np.array(sorted(chosen.values()), dtype=np.int64)].astype(np.float32) def extract_point_cloud_from_frame(iiqq_frame: np.ndarray) -> np.ndarray: """Return canonical ``(N, 3) float32`` camera-frame XYZ radar points.""" virtual = mimo(iiqq_to_iq(iiqq_frame)) range_fft = _fft(virtual, axis=-1, size=RANGE_FFT_SIZE) doppler_fft = _fft(range_fft, axis=0, size=DOPPLER_FFT_SIZE, shift=True) rd_map = np.sqrt(np.sum(np.abs(doppler_fft) ** 2, axis=(1, 2))).astype(np.float32) mask = _cfar(rd_map, 1, 2, 8, 4, 3, False, 15.0) mask &= _cfar(rd_map, 0, 0, 4, 2, 3, True, 15.0) mask &= _local_maxima(rd_map) points = [] for doppler, range_bin in zip(*np.nonzero(mask)): range_m = float(range_bin) * RANGE_RES_M if range_m > 10.60: continue point = _xyz(doppler_fft[doppler, :, :, range_bin], range_m) if point is not None: points.append(point) if not points: return np.empty((0, 3), dtype=np.float32) return (_nearest_per_ray(np.stack(points, axis=0)) - CAMERA_POS_IN_RADAR_M).astype(np.float32)