Spectral Bias Correction in PINNs for Myocardial Image Registration of Pathological Data

Bastien C. Baluyot; Marta Varela; Chen Qin

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arXiv · 2504.17945

Spectral Bias Correction in PINNs for Myocardial Image Registration of Pathological Data

Bastien C. Baluyot·Marta Varela·Chen Qin

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Abstract

Accurate myocardial image registration is essential for cardiac strain analysis and disease diagnosis. However, spectral bias in neural networks impedes modeling high-frequency deformations, producing inaccurate, biomechanically implausible results, particularly in pathological data. This paper addresses spectral bias in physics-informed neural networks (PINNs) by integrating Fourier Feature mappings and introducing modulation strategies into a PINN framework. Experiments on two distinct datasets demonstrate that the proposed methods enhance the PINN's ability to capture complex, high-frequency deformations in cardiomyopathies, achieving superior registration accuracy while maintaining biomechanical plausibility - thus providing a foundation for scalable cardiac image registration and generalization across multiple patients and pathologies.

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Bastien C. Baluyot, Marta Varela, Chen Qin. 2025-04-24. Spectral Bias Correction in PINNs for Myocardial Image Registration of Pathological Data. https://arxiv.org/abs/2504.17945

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