1import numpy as np
2
3def adaptive_optics_control(wavefront_sensor_data, deformable_mirror_state):
4    """A simplified adaptive optics control algorithm."""
5    # Estimate wavefront distortion from sensor data.
6    wavefront_distortion = np.fft.fft2(wavefront_sensor_data)
7
8    # Apply control algorithm (e.g., a simple gain).
9    gain = 0.5  # Adjust gain as needed
10    correction = -gain * np.fft.ifft2(wavefront_distortion).real
11
12    # Update deformable mirror state.
13    new_mirror_state = deformable_mirror_state + correction
14
15    return new_mirror_state
16
17# Example usage:
18wavefront_data = np.random.rand(64, 64) # Simulated wavefront sensor data
19mirror_state = np.zeros((64, 64)) # Initial deformable mirror state
20
21updated_mirror_state = adaptive_optics_control(wavefront_data, mirror_state)
22
23print("Updated deformable mirror state:", updated_mirror_state)
24

1def gemini_data_pipeline(raw_data):
2    """A simplified data processing pipeline for a Gemini instrument."""
3    # 1. Calibration: Correct for instrumental effects.
4    calibrated_data = calibrate(raw_data)
5
6    # 2. Flat-fielding: Remove pixel-to-pixel sensitivity variations.
7    flat_fielded_data = flat_field(calibrated_data)
8
9    # 3. Background Subtraction: Remove sky background.
10    background_subtracted_data = subtract_background(flat_fielded_data)
11
12    # 4. Image Stacking: Combine multiple exposures to improve signal-to-noise.
13    stacked_image = stack_images(background_subtracted_data)
14
15    # 5. Cosmic Ray Removal: Identify and remove cosmic ray hits.
16    cleaned_image = remove_cosmic_rays(stacked_image)
17
18    # 6. Astrometry: Calibrate the image's coordinate system.
19    astrometrically_calibrated_image = perform_astrometry(cleaned_image)
20
21    return astrometrically_calibrated_image
22
23def calibrate(data):
24  # Placeholder for calibration routine
25  return data
26
27def flat_field(data):
28  # Placeholder for flat-fielding routine
29  return data
30
31def subtract_background(data):
32  # Placeholder for background subtraction
33  return data
34
35def stack_images(data):
36  # Placeholder for image stacking
37  return data
38
39def remove_cosmic_rays(data):
40  # Placeholder for cosmic ray removal
41  return data
42
43def perform_astrometry(data):
44  # Placeholder for astrometry calibration
45  return data
46