eess.IVSep 24, 2026

Beyond MSE: Rician Likelihood Denoising for Self-Supervised Cardiac T2T2 and T1ρT1ρ MRI

Authors: Nicholas A. Jacobs, Jason Mendes, Ravi Ranjan, Edward DiBella, Shireen Elhabian

Organizations: University of Utah, Salt Lake City UT 84112, USA

Abstract

Magnetic resonance imaging involves an inherent trade-off among spatial resolution, acquisition time, and noise. This trade-off contributes to long scan times and high cost. Deep learning has improved image denoising, but cardiac MRI remains difficult because high-resolution, rapid acquisitions generally lack corresponding low-noise ground truth. Self-supervised denoising offers a potential solution by learning from noisy image pairs or even single noisy acquisitions. However, we show that Noise2Void-style blind-spot denoising, which uses a mean squared error (MSE) loss and assumes zero-mean, independent and identically distributed (i.i.d.) noise, is poorly suited to MR magnitude images. When applied to short-axis T2T2-weighted and T1ρT1ρ-weighted cardiac MRI with synthetic Rician noise, it produces biased denoised images and biased parametric maps of T2T2 and T1ρT1ρ. To address this limitation, we formulate self-supervised denoising as maximum likelihood estimation under a known Rician noise model. This yields unbiased denoisers that are competitive with supervised baselines.

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