PuSH - Publication Server of Helmholtz Zentrum München: Scale-equivariant deep model-based optoacoustic image reconstruction.

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Dehner, C. ; Lilaj, L.* ; Ntziachristos, V. ; Zahnd, G. ; Jüstel, D.

Scale-equivariant deep model-based optoacoustic image reconstruction.

Photoacoustics 44:100727 (2025)

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Model-based reconstruction provides state-of-the-art image quality for multispectral optoacoustic tomography. However, optimal regularization of in vivo data necessitates scan-specific adjustments of the regularization strength to compensate for fluctuations of the signal magnitudes between different sinograms. Magnitude fluctuations within in vivo data also pose a challenge for supervised deep learning of a model-based reconstruction operator, as training data must cover the complete range of expected signal magnitudes. In this work, we derive a scale-equivariant model-based reconstruction operator that i) automatically adjusts the regularization strength based on the L2 norm of the input sinogram, and ii) facilitates supervised deep learning of the operator using input singorams with a fixed norm. Scale-equivariant model-based reconstruction applies appropriate regularization to sinograms of arbitrary magnitude, achieves slightly better accuracy in quantifying blood oxygen saturation, and enables more accurate supervised deep learning of the operator.

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