flâneur

[2510.16256] Functional Spectral Imaging by Ultrasound (FSIU): A Spectral-Theoretic Basis for Functional Ultrasound

arxiv.org · 231 words · saved by 1 readers

YOU make open access possible! Tell us why you support #openaccess and give to arXiv this week to help keep science open for all. Help | Advanced Search arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. arXiv Operational Status

View PDF HTML (experimental) Abstract:Functional Spectral Imaging (FSI) models image formation as the recovery of tissue surrogates such as density and stiffness from spectral perturbations of a self-adjoint elliptic operator. Rather than relying on reflectivity or relaxation kinetics, FSI tracks shifts of a truncated set of eigenmodes under controlled excitation, providing a non-ionizing and operator-theoretic route to contrast. Tissue heterogeneity is modeled as a small perturbation of L = -div(D grad) + gamma, with first-order Hadamard formulas linking local contrasts to eigenvalue…

saved by

related reading