Article Dans Une Revue IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control Année : 2025

Spatially Variant Ultrasound Image Restoration with Product Convolution

Résumé

The process of ultrasound image formation can generally be modeled, using a linear and shift-invariance approximation, as a convolution. In practice, the point spread function (PSF) is shift-variant. Here, we consider the restoration problem using a shift-variant PSF, where it is modelled as product-convolution. We argue that the ultrasound PSF varies smoothly enough for product-convolution to serve as an efficient and effective direct model for ultrasound image restoration. We present a strategy for constructing the product-convolution operator, and derive an efficient optimization scheme. We finally validate our approach on both simulated and real data, demonstrating state-of-the-art results, while achieving significantly faster processing times.

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hal-05051035 , version 1 (29-04-2025)
hal-05051035 , version 2 (30-04-2025)
hal-05051035 , version 3 (27-06-2025)

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Arthur Floquet, Emmanuel Soubies, Duong-Hung Pham, Denis Kouamé. Spatially Variant Ultrasound Image Restoration with Product Convolution. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 2025, 72 (9), pp.1235 - 1244. ⟨10.1109/TUFFC.2025.3584533⟩. ⟨hal-05051035v3⟩
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