Rewrite SyntheticBeamGenerator around CameraModel and 2D beam pointing

Renders each plane via true pinhole projection through a shared
CameraModel instead of the old cosine-compression formula, adds
independent horizontal/vertical pointing drift, and supports generating
a deliberately-offset nominal z (vs. true z) per plane for tolerance-
recovery testing in later tasks.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
This commit is contained in:
Martino Ferrari
2026-07-03 11:43:20 +02:00
parent dffca62f81
commit c2ae95e01f
2 changed files with 93 additions and 74 deletions
+30 -34
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@@ -10,6 +10,7 @@ from __future__ import annotations
import numpy as np
from .data import MeasurementPlane
from .geometry import CameraModel, GeometryCalibration
from .modes import LGBasis
@@ -19,65 +20,60 @@ class SyntheticBeamGenerator:
Parameters
----------
basis : LGBasis defining the reference w0, z0, wavelength.
image_shape : (rows, cols) pixel shape of generated images.
pixel_scale : physical size of one pixel, in meters, along the
non-tilted (y) axis. The tilt/projection axis is assumed to be x.
camera : ground-truth CameraModel (position/orientation/intrinsics) used
to render each plane via true perspective projection.
"""
def __init__(self, basis: LGBasis, image_shape: tuple[int, int], pixel_scale: float):
def __init__(self, basis: LGBasis, camera: CameraModel):
self.basis = basis
self.image_shape = image_shape
self.pixel_scale = pixel_scale
def _pixel_grid(self, center: tuple[float, float], viewing_angle_deg: float):
rows, cols = self.image_shape
row_idx = np.arange(rows) - rows // 2
col_idx = np.arange(cols) - cols // 2
col_grid, row_grid = np.meshgrid(col_idx, row_idx)
cos_angle = np.cos(np.deg2rad(viewing_angle_deg))
x = col_grid * self.pixel_scale / cos_angle - center[0]
y = row_grid * self.pixel_scale - center[1]
return x, y
self.camera = camera
self.calibration = GeometryCalibration(camera)
def generate(
self,
coefficients: dict[tuple[int, int], complex],
z_list: list[float],
image_shape: tuple[int, int],
*,
center: tuple[float, float] = (0.0, 0.0),
pointing_angle_deg: float = 0.0,
viewing_angle_deg: float = 0.0,
pointing_angle_horizontal_deg: float = 0.0,
pointing_angle_vertical_deg: float = 0.0,
z_tolerance: float = 0.0,
nominal_z_offsets: dict[float, float] | None = None,
noise_std: float = 0.0,
seed: int | None = None,
) -> list[MeasurementPlane]:
"""Generate one MeasurementPlane per requested z distance.
"""Generate one MeasurementPlane per requested (true) z distance.
The beam transverse center drifts linearly with z according to
pointing_angle_deg (tilt of the beam axis along x), starting from
`center` at the basis's reference z0.
The beam transverse center drifts linearly with z according to the
two pointing angles, starting from `center` at the basis's
reference z0. `nominal_z_offsets`, if given, maps a true z (as
given in z_list) to an offset applied to the *nominal* z stored on
the resulting MeasurementPlane -- letting tests verify a fit
recovers the true z despite a deliberately-offset nominal input.
Every resulting plane shares `z_tolerance`.
"""
rng = np.random.default_rng(seed)
tilt_rad = np.deg2rad(pointing_angle_deg)
tilt_h_rad = np.deg2rad(pointing_angle_horizontal_deg)
tilt_v_rad = np.deg2rad(pointing_angle_vertical_deg)
offsets = nominal_z_offsets or {}
planes = []
for z in z_list:
drift_x = (z - self.basis.z0) * np.tan(tilt_rad)
plane_center = (center[0] + drift_x, center[1])
drift_x = (z - self.basis.z0) * np.tan(tilt_h_rad)
drift_y = (z - self.basis.z0) * np.tan(tilt_v_rad)
cx = center[0] + drift_x
cy = center[1] + drift_y
x, y = self._pixel_grid(plane_center, viewing_angle_deg)
field = self.basis.field_superposition(x, y, z, coefficients)
x, y = self.calibration.physical_coordinates(image_shape, z)
field = self.basis.field_superposition(x - cx, y - cy, z, coefficients)
flux = np.abs(field) ** 2
if noise_std > 0:
flux = flux + rng.normal(0.0, noise_std, size=flux.shape)
nominal_z = z + offsets.get(z, 0.0)
planes.append(
MeasurementPlane(
flux=flux,
z=z,
pixel_scale=self.pixel_scale,
viewing_angle_deg=viewing_angle_deg,
)
MeasurementPlane(flux=flux, z=nominal_z, z_tolerance=z_tolerance)
)
return planes
+63 -40
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@@ -1,6 +1,7 @@
import numpy as np
import pytest
from he11lib.geometry import CameraModel
from he11lib.modes import LGBasis
from he11lib.synthetic import SyntheticBeamGenerator
@@ -8,21 +9,29 @@ from he11lib.synthetic import SyntheticBeamGenerator
W0 = 5e-3
Z0 = 0.5
WAVELENGTH = 1.76e-3
PIXEL_SCALE = 2e-4 # 0.2 mm/px
PIXEL_SCALE = 2e-4 # 0.2 mm/px, achieved at z=Z0
CAMERA_DISTANCE = 5.0 # camera stands 5 m upstream of the output window
IMAGE_SHAPE = (161, 161) # odd so there's a well-defined center pixel
def make_camera(pixel_scale=PIXEL_SCALE, z0=Z0, camera_distance=CAMERA_DISTANCE):
focal_length_px = (camera_distance + z0) / pixel_scale
return CameraModel(
focal_length_px=focal_length_px,
position=(0.0, 0.0, -camera_distance),
orientation_deg=(0.0, 0.0, 0.0),
)
def make_generator():
basis = LGBasis(w0=W0, z0=Z0, wavelength=WAVELENGTH)
return SyntheticBeamGenerator(
basis=basis, image_shape=IMAGE_SHAPE, pixel_scale=PIXEL_SCALE
)
return SyntheticBeamGenerator(basis=basis, camera=make_camera())
def test_generate_returns_planes_with_requested_z():
gen = make_generator()
z_list = [0.3, 0.4, 0.5]
planes = gen.generate(coefficients={(0, 0): 1 + 0j}, z_list=z_list)
planes = gen.generate(coefficients={(0, 0): 1 + 0j}, z_list=z_list, image_shape=IMAGE_SHAPE)
assert [p.z for p in planes] == z_list
assert all(p.flux.shape == IMAGE_SHAPE for p in planes)
@@ -30,7 +39,9 @@ def test_generate_returns_planes_with_requested_z():
def test_generate_pure_mode_peak_at_image_center_when_centered():
gen = make_generator()
planes = gen.generate(coefficients={(0, 0): 1 + 0j}, z_list=[Z0], center=(0.0, 0.0))
planes = gen.generate(
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], image_shape=IMAGE_SHAPE, center=(0.0, 0.0)
)
flux = planes[0].flux
peak_idx = np.unravel_index(np.argmax(flux), flux.shape)
@@ -40,9 +51,9 @@ def test_generate_pure_mode_peak_at_image_center_when_centered():
def test_generate_applies_center_offset():
gen = make_generator()
offset_m = 20 * PIXEL_SCALE # 20 pixels
offset_m = 20 * PIXEL_SCALE # ~20 pixels at z=Z0
planes = gen.generate(
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], center=(offset_m, 0.0)
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], image_shape=IMAGE_SHAPE, center=(offset_m, 0.0)
)
flux = planes[0].flux
@@ -53,35 +64,41 @@ def test_generate_applies_center_offset():
assert peak_idx[1] == pytest.approx(center_col + 20, abs=1)
def test_generate_applies_pointing_angle_as_linear_drift():
def test_generate_applies_pointing_angles_as_2d_linear_drift():
gen = make_generator()
pointing_angle_deg = 1.0 # small tilt
z_list = [Z0, Z0 + 0.2]
planes = gen.generate(
coefficients={(0, 0): 1 + 0j},
z_list=z_list,
image_shape=IMAGE_SHAPE,
center=(0.0, 0.0),
pointing_angle_deg=pointing_angle_deg,
pointing_angle_horizontal_deg=1.0,
pointing_angle_vertical_deg=0.5,
)
peaks_col = []
peaks = []
for plane in planes:
peak_idx = np.unravel_index(np.argmax(plane.flux), plane.flux.shape)
peaks_col.append(peak_idx[1])
peaks.append(peak_idx)
expected_shift_m = 0.2 * np.tan(np.deg2rad(pointing_angle_deg))
expected_shift_px = expected_shift_m / PIXEL_SCALE
actual_shift_px = peaks_col[1] - peaks_col[0]
assert actual_shift_px == pytest.approx(expected_shift_px, abs=1)
expected_shift_x_m = 0.2 * np.tan(np.deg2rad(1.0))
expected_shift_y_m = 0.2 * np.tan(np.deg2rad(0.5))
expected_shift_col_px = expected_shift_x_m / PIXEL_SCALE
expected_shift_row_px = expected_shift_y_m / PIXEL_SCALE
actual_shift_col_px = peaks[1][1] - peaks[0][1]
actual_shift_row_px = peaks[1][0] - peaks[0][0]
assert actual_shift_col_px == pytest.approx(expected_shift_col_px, abs=1)
assert actual_shift_row_px == pytest.approx(expected_shift_row_px, abs=1)
def test_generate_noise_is_reproducible_with_seed():
gen = make_generator()
planes_a = gen.generate(
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], noise_std=0.01, seed=42
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], image_shape=IMAGE_SHAPE, noise_std=0.01, seed=42
)
planes_b = gen.generate(
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], noise_std=0.01, seed=42
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], image_shape=IMAGE_SHAPE, noise_std=0.01, seed=42
)
np.testing.assert_array_equal(planes_a[0].flux, planes_b[0].flux)
@@ -90,34 +107,40 @@ def test_generate_noise_std_matches_requested_level():
gen = make_generator()
noise_std = 0.02
planes_noisy = gen.generate(
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], noise_std=noise_std, seed=1
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], image_shape=IMAGE_SHAPE, noise_std=noise_std, seed=1
)
planes_clean = gen.generate(
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], image_shape=IMAGE_SHAPE, noise_std=0.0
)
planes_clean = gen.generate(coefficients={(0, 0): 1 + 0j}, z_list=[Z0], noise_std=0.0)
diff = planes_noisy[0].flux - planes_clean[0].flux
assert np.std(diff) == pytest.approx(noise_std, rel=0.15)
def test_generate_viewing_angle_compresses_tilt_axis():
def test_generate_applies_z_tolerance_to_every_plane():
gen = make_generator()
planes_straight = gen.generate(
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], viewing_angle_deg=0.0
planes = gen.generate(
coefficients={(0, 0): 1 + 0j},
z_list=[0.3, 0.4, 0.5],
image_shape=IMAGE_SHAPE,
z_tolerance=0.02,
)
planes_tilted = gen.generate(
coefficients={(0, 0): 1 + 0j}, z_list=[Z0], viewing_angle_deg=60.0
assert all(p.z_tolerance == 0.02 for p in planes)
def test_generate_applies_nominal_z_offset_independent_of_true_z():
gen = make_generator()
true_z_list = [0.3, 0.4, 0.5]
offsets = {0.3: 0.01, 0.4: -0.005, 0.5: 0.0}
planes = gen.generate(
coefficients={(0, 0): 1 + 0j},
z_list=true_z_list,
image_shape=IMAGE_SHAPE,
nominal_z_offsets=offsets,
)
def width_along_axis(flux, axis):
profile = flux[flux.shape[0] // 2, :] if axis == 1 else flux[:, flux.shape[1] // 2]
half_max = profile.max() / 2
above = np.where(profile >= half_max)[0]
return above[-1] - above[0]
width_straight_x = width_along_axis(planes_straight[0].flux, axis=1)
width_tilted_x = width_along_axis(planes_tilted[0].flux, axis=1)
width_straight_y = width_along_axis(planes_straight[0].flux, axis=0)
width_tilted_y = width_along_axis(planes_tilted[0].flux, axis=0)
# tilt compresses the viewed beam along the tilt (x) axis, y unaffected
assert width_tilted_x < width_straight_x
assert width_tilted_y == pytest.approx(width_straight_y, abs=1)
nominal_zs = [p.z for p in planes]
assert nominal_zs == pytest.approx([0.31, 0.395, 0.5])
# The flux is still rendered at each plane's *true* z (0.3, 0.4, 0.5),
# not its offset nominal z -- verified indirectly in Task 7's
# end-to-end tolerance-recovery test.