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Description

Implements 3D Radial Fourier Transform for medical imaging applications, addressing anisotropic resolution challenges and enabling rotation-invariant frequency analysis. This transform is specifically designed for medical images where voxel spacing often differs between axial, coronal, and sagittal planes (e.g., typical CT/MRI with different slice thickness vs in-plane resolution).

Medical Imaging Problem Addressed:

  • Anisotropic Resolution Normalization: Converts data to isotropic frequency domain representation
  • Rotation-Invariant Analysis: Radial frequency profiles remain consistent under 3D rotation
  • Acquisition Parameter Robustness: Reduces sensitivity to varying scan parameters across datasets

Key Features:

  • RadialFourier3D: Core transform for 3D radial frequency analysis with configurable radial bins
  • RadialFourierFeatures3D: Multi-scale frequency feature extraction for comprehensive analysis
  • Flexible Output Modes: Magnitude-only, phase-only, or complex outputs
  • Frequency Range Control: Optional maximum frequency cutoff for noise reduction
  • Inverse Transform Support: Approximate reconstruction for validation purposes
  • Medical Image Optimized: Handles common medical image shapes (batch, channel, depth, height, width)

Technical Implementation:

  • Location: monai/transforms/signal/radial_fourier.py
  • Tests: tests/test_radial_fourier.py (20/20 passing, comprehensive coverage)
  • Dependencies: Uses PyTorch's native FFT - no new dependencies
  • Performance: GPU-accelerated via PyTorch, O(N log N) complexity
  • Compatibility: Supports both PyTorch tensors and NumPy arrays
  • API Consistency: Follows MONAI transform conventions and typing

Usage Examples:

# Basic radial frequency analysis
from monai.transforms import RadialFourier3D
transform = RadialFourier3D(radial_bins=64, return_magnitude=True)
features = transform(image)  # Shape: (batch, 64)

# Full frequency analysis with phase information
transform_full = RadialFourier3D(radial_bins=None, return_magnitude=True, return_phase=True)
full_spectrum = transform_full(image)  # Full 3D spectrum with magnitude and phase

# Multi-scale feature extraction for ML pipelines
from monai.transforms import RadialFourierFeatures3D
feature_extractor = RadialFourierFeatures3D(
    n_bins_list=[16, 32, 64, 128],
    return_types=["magnitude", "phase"]
)
ml_features = feature_extractor(image)  # Comprehensive feature vector

…lysis

- Implement RadialFourier3D transform for radial frequency analysis
- Add RadialFourierFeatures3D for multi-scale feature extraction
- Include comprehensive tests (20/20 passing)
- Support for magnitude, phase, and complex outputs
- Handle anisotropic resolution in medical imaging
- Fix numpy compatibility and spatial dimension handling

Signed-off-by: Hitendrasinh Rathod<[email protected]>
Signed-off-by: Hitendrasinh Rathod <[email protected]>
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📝 Walkthrough

Walkthrough

Adds a new monai.transforms.signal subpackage with a radial_fourier module implementing RadialFourier3D (forward/inverse 3D FFT, radial coordinate computation, optional radial binning, magnitude/phase outputs) and RadialFourierFeatures3D (multi-resolution composition). Exposes these symbols in signal.init and the top-level transforms init; SignalRandShift was removed from top-level exports. A new tests/test_radial_fourier.py exercises shapes, dtypes, forward/inverse behavior, parameter validation, batching, multi-scale feature extraction, and API stability.

Estimated code review effort

🎯 3 (Moderate) | ⏱️ ~25 minutes

Pre-merge checks and finishing touches

✅ Passed checks (3 passed)
Check name Status Explanation
Title check ✅ Passed Title clearly summarizes the main change: adding 3D Radial Fourier Transform for medical imaging, which is the core feature in this PR.
Description check ✅ Passed Description is comprehensive and exceeds template requirements, covering problem context, key features, technical implementation, and usage examples. Template checkboxes are incomplete but non-critical sections are missing.
Docstring Coverage ✅ Passed Docstring coverage is 92.00% which is sufficient. The required threshold is 80.00%.
✨ Finishing touches
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🧪 Generate unit tests (beta)
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  • Post copyable unit tests in a comment

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Actionable comments posted: 2

🧹 Nitpick comments (4)
tests/test_radial_fourier.py (1)

76-88: Inverse transform test only checks shape, not reconstruction accuracy.

Consider adding an assertion that the reconstructed data is close to the original input to validate correctness.

         # Should have same shape
         self.assertEqual(reconstructed.shape, self.test_image_3d.shape)
+
+        # Should approximately reconstruct original
+        self.assertTrue(torch.allclose(reconstructed, self.test_image_3d, atol=1e-5))
monai/transforms/signal/radial_fourier.py (3)

137-144: Loop-based binning may be slow for large radial_bins.

Consider vectorized binning using torch.bucketize for better performance, though current implementation is correct.


34-62: Docstring missing Raises section.

Per coding guidelines, docstrings should document raised exceptions.

     Example:
         >>> transform = RadialFourier3D(radial_bins=64, return_magnitude=True)
         >>> image = torch.randn(1, 128, 128, 96)  # Batch, Height, Width, Depth
         >>> result = transform(image)  # Shape: (1, 64)
+
+    Raises:
+        ValueError: If max_frequency not in (0.0, 1.0], radial_bins < 1, or both
+            return_magnitude and return_phase are False.
     """

30-31: Unused import.

spatial is imported but never used.

-# Optional imports for type checking
-spatial, _ = optional_import("monai.utils", name="spatial")
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tests/test_radial_fourier.py (1)
monai/transforms/signal/radial_fourier.py (3)
  • RadialFourier3D (34-279)
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monai/transforms/signal/__init__.py (1)
monai/transforms/signal/radial_fourier.py (2)
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monai/transforms/__init__.py (2)
monai/transforms/signal/array.py (1)
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monai/transforms/signal/radial_fourier.py

86-86: Avoid specifying long messages outside the exception class

(TRY003)


88-88: Avoid specifying long messages outside the exception class

(TRY003)


90-90: Avoid specifying long messages outside the exception class

(TRY003)


166-166: Avoid specifying long messages outside the exception class

(TRY003)

🔇 Additional comments (7)
monai/transforms/__init__.py (1)

379-381: LGTM!

New radial Fourier transforms are correctly imported and exported at the package level.

monai/transforms/signal/__init__.py (1)

11-17: LGTM!

Module docstring and exports are correctly set up.

tests/test_radial_fourier.py (2)

25-136: Good test coverage for RadialFourier3D.

Tests cover key scenarios including edge cases, type handling, and parameter validation.


138-193: Good test coverage for RadialFourierFeatures3D.

Multi-scale feature extraction and numpy compatibility are well tested.

monai/transforms/signal/radial_fourier.py (3)

64-91: LGTM!

Parameter validation is thorough and handles edge cases correctly.


239-279: LGTM!

Inverse transform correctly handles the non-binned case with proper FFT shift operations.


343-348: Edge case: when transforms list is empty, output = img may cause issues.

If img is a tensor and transforms is empty, output = img is returned. Then isinstance(img, np.ndarray) is False, so output.cpu().numpy() is never called. This is correct.

However, if img is already a numpy array and transforms is empty, the function returns the numpy array directly without conversion, which is the expected behavior.

- Add device parameter to _compute_radial_coordinates to prevent CPU/GPU mismatch
- Fix frequency mask expansion for multi-dimensional inputs
- Add reconstruction accuracy test assertion (with proper magnitude+phase for inverse)
- Add Raises section to docstring
- Remove unused import
- Address all review comments
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Actionable comments posted: 0

🧹 Nitpick comments (1)
tests/test_radial_fourier.py (1)

35-35: Unused test fixture.

test_image_4d is created but never used in any test methods.

Proposed fix
-        self.test_image_4d = torch.randn(2, 1, 48, 64, 64, device=self.device)  # Batch, Channel, D, H, W
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90-90: Avoid specifying long messages outside the exception class

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🔇 Additional comments (8)
monai/transforms/signal/radial_fourier.py (8)

88-94: Parameter validation is correct.

All constraints are properly enforced. Static analysis flags long exception messages (TRY003), but these are clear and appropriate for ValueError.


96-118: LGTM!

Radial coordinate computation is correct. Device parameter properly addresses the prior CPU/GPU mismatch issue.


120-153: LGTM!

Radial spectrum binning logic is correct. Averaging is properly computed for complex values.


187-219: LGTM!

Radial binning with batch/channel preservation is correctly implemented. The reshape logic properly handles arbitrary batch dimensions.


220-228: LGTM!

Frequency masking correctly handles variable non-spatial dimensions. The fix from prior review properly addresses dimension broadcasting.


230-243: LGTM!

Output assembly correctly handles magnitude/phase extraction and concatenation. Type conversion preserves input format.


245-285: LGTM!

Inverse transform correctly reconstructs spatial data from magnitude/phase. FFT inversion sequence is correct, and normalization is properly reversed.


288-356: LGTM!

Multi-scale feature extraction correctly composes multiple RadialFourier3D transforms. Concatenation logic and type handling are correct. Empty bins_list case returns original image as expected.

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Actionable comments posted: 1

🧹 Nitpick comments (1)
monai/transforms/signal/radial_fourier.py (1)

88-93: Optional: Consider custom exception classes.

Static analysis suggests custom exception classes for parameter validation instead of long messages in ValueError. This is a minor style improvement and can be deferred.

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89-89: Avoid specifying long messages outside the exception class

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🔇 Additional comments (8)
tests/test_radial_fourier.py (2)

41-138: Comprehensive test coverage.

The test methods cover output shapes, complex inputs, normalization, inverse transforms, determinism, numpy compatibility, parameter validation, custom spatial dimensions, and batch processing. Well done.


141-196: LGTM - proper test structure and coverage.

TestRadialFourierFeatures3D has correct setUp/tearDown structure and comprehensive tests for feature extraction scenarios.

monai/transforms/signal/radial_fourier.py (6)

95-117: Device handling correctly implemented.

The device parameter addition resolves the previous device mismatch issue. Implementation is correct.


119-152: LGTM - radial binning logic is correct.

The method correctly bins frequency components by radial distance and handles empty bins gracefully.


154-242: Core transform logic is sound.

The FFT computation, radial coordinate calculation, binning logic, and output extraction are correctly implemented. Previous device and mask expansion issues have been resolved.


244-284: Inverse transform correctly implemented.

The inverse handles the unbinned case with proper magnitude/phase reconstruction and FFT operations. Appropriately raises NotImplementedError for binned data that cannot be exactly inverted.


308-329: LGTM - multi-transform composition is correct.

The initialization correctly creates RadialFourier3D instances for all combinations of bin counts and return types.


331-355: Feature concatenation handles edge cases well.

The method correctly handles empty transforms, mixed numpy/tensor types, and preserves the input data type. Good defensive programming.

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