What question did this study set out to answer?

To formulate a score-based diffusion framework that incorporates linear shift-invariant systems and stationary noise to directly control resolution and noise power spectra in image generation.

March 21, 2025IEEE Transactions on Medical Imaging

Fourier Diffusion Models: A Method to Control MTF and NPS in Score-Based Stochastic Image Generation

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To formulate a score-based diffusion framework that incorporates linear shift-invariant systems and stationary noise to directly control resolution and noise power spectra in image generation.
Replaced standard scalar forward degradation steps with linear shift-invariant operations and spatially-stationary noise to match realistic modulation transfer function (MTF) and noise power spectrum (NPS) properties.
Derived the reverse-time stochastic differential equation for posterior sampling to reconstruct sharp, clean images from degraded measurements.
Evaluated the framework on simulated chest computed tomography (CT) scans with system blur and correlated noise using the Lung Image Database Consortium (LIDC) dataset.
Demonstrated superior image reconstruction quality using Fourier diffusion models for supervised posterior sampling compared to standard conditional diffusion models.
Successfully modeled continuous probability flow connecting true image distributions directly to physical measurement distributions with predetermined MTF and NPS characteristics.

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Implication

Computational study demonstrates improved image quality in simulated chest CT scans using Fourier diffusion models, indicating enhanced control over blur and correlated noise.

Cite This Study

Tivnan et al. (2025) studied this question.

synapsesocial.com/papers/6a102393d13714ec96ff3ed6 https://doi.org/10.1109/tmi.2025.3553805

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Implication

Computational study demonstrates improved image quality in simulated chest CT scans using Fourier diffusion models, indicating enhanced control over blur and correlated noise.

Fourier Diffusion Models: A Method to Control MTF and NPS in Score-Based Stochastic Image Generation

Key Points

Discussion

Implication

Cite This Study

Fourier Diffusion Models: A Method to Control MTF and NPS in Score-Based Stochastic Image Generation

Key Points

Discussion

Implication

Cite This Study

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