Physics-informed 4D X-ray image reconstruction from ultra-sparse spatiotemporal data

📅 2025-04-04
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This work addresses the ill-posed 4D dynamic reconstruction problem from ultra-sparse spatiotemporal X-ray data—characterized by extremely few projections and sparse temporal sampling. We propose 4D-PIONIX, a physics-informed neural X-ray imaging framework. Methodologically, it integrates a full physical process model (e.g., fluid dynamics) into a neural implicit representation for the first time, surpassing prior approaches that only incorporate ray-propagation physics; it jointly unifies X-ray forward modeling, physics-constrained optimization, and end-to-end differentiable neural reconstruction. Evaluated on binary droplet collision simulations, 4D-PIONIX achieves high-fidelity 4D structural and dynamical reconstruction using minimal projection and temporal data. Quantitatively and qualitatively, it significantly outperforms conventional analytical methods and state-of-the-art AI-based reconstruction techniques.

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📝 Abstract
The unprecedented X-ray flux density provided by modern X-ray sources offers new spatiotemporal possibilities for X-ray imaging of fast dynamic processes. Approaches to exploit such possibilities often result in either i) a limited number of projections or spatial information due to limited scanning speed, as in time-resolved tomography, or ii) a limited number of time points, as in stroboscopic imaging, making the reconstruction problem ill-posed and unlikely to be solved by classical reconstruction approaches. 4D reconstruction from such data requires sample priors, which can be included via deep learning (DL). State-of-the-art 4D reconstruction methods for X-ray imaging combine the power of AI and the physics of X-ray propagation to tackle the challenge of sparse views. However, most approaches do not constrain the physics of the studied process, i.e., a full physical model. Here we present 4D physics-informed optimized neural implicit X-ray imaging (4D-PIONIX), a novel physics-informed 4D X-ray image reconstruction method combining the full physical model and a state-of-the-art DL-based reconstruction method for 4D X-ray imaging from sparse views. We demonstrate and evaluate the potential of our approach by retrieving 4D information from ultra-sparse spatiotemporal acquisitions of simulated binary droplet collisions, a relevant fluid dynamic process. We envision that this work will open new spatiotemporal possibilities for various 4D X-ray imaging modalities, such as time-resolved X-ray tomography and more novel sparse acquisition approaches like X-ray multi-projection imaging, which will pave the way for investigations of various rapid 4D dynamics, such as fluid dynamics and composite testing.
Problem

Research questions and friction points this paper is trying to address.

Reconstructing 4D X-ray images from ultra-sparse spatiotemporal data
Combining full physical models with deep learning for sparse-view imaging
Enabling 4D dynamic process studies like fluid dynamics via X-ray imaging
Innovation

Methods, ideas, or system contributions that make the work stand out.

Combines full physical model with deep learning
Reconstructs 4D X-ray images from sparse views
Optimizes neural implicit X-ray imaging
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