RT Journal Article
T1 Regression of the Rician Noise Level in 3D Magnetic Resonance Images from the Distribution of the First Significant Digit.
A1 Maza-Quiroga, Rosa
A1 Thurnhofer-Hemsi, Karl
A1 López-Rodríguez, Domingo
A1 López-Rubio, Ezequiel
K1 Información, Teoría de la
K1 Procesado de imágenes
K1 Distribución (Teoría de probabilidades)
K1 Imágenes por resonancia magnética
AB This paper investigates the distribution characteristics of Fourier, discrete cosine, and discrete sine transform coefficients in T1 MRI images. The study reveals their adherence to Benford’s law, characterized by a logarithmic distribution of first digits. The impact of Rician noise on the first digit distribution is examined, causing deviations from the ideal distribution. A novel methodology is proposed for noise level estimation, employing metrics such as Bhattacharyya distance, Kullback-Leibler divergence, total variation distance, Hellinger distance, and Jensen-Shannon divergence. Supervised learning techniques utilize these metrics as regressors. Evaluations on MRI scans from several datasets coming from a wide range of different acquisition devices of 1.5T and 3T, comprising hundreds of patients, validate the adherence of noiseless T1 MRI frequency domain coefficients to Benford’s law. Through rigorous experimentation, our methodology has demonstrated competitiveness with established noise estimation techniques, even surpassing them in numerous conducted experiments. This research empirically supports the application of Benford’s law in transforms, offering a reliable approach for noise estimation in denoising algorithms and advancing image quality assessment.
PB MDPI
YR 2023
FD 2023-12-13
LK https://hdl.handle.net/10630/31430
UL https://hdl.handle.net/10630/31430
LA eng
NO Maza-Quiroga, R.; Thurnhofer-Hemsi, K.; López-Rodríguez, D.; López-Rubio, E. Regression of the Rician Noise Level in 3D Magnetic Resonance Images from the Distribution of the First Significant Digit. Axioms 2023, 12, 1117. https://doi.org/10.3390/axioms12121117
NO Partial funding for open access charge: Universidad de Málaga
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026