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Internship proposal: Low-rank modal decompositions of laser Doppler holography spectral dynamics for robust arterio-venous choroidal angiography

Authors: Atlan, Michael;

Internship proposal: Low-rank modal decompositions of laser Doppler holography spectral dynamics for robust arterio-venous choroidal angiography

Abstract

Temporal laser Doppler holography signals in the choroid frequently exhibit a reversal when derived from low-frequency band power: as flow increases, the Doppler spectrum broadens and the power within a fixed low-frequency band decreases. This behavior follows from energy redistribution across Doppler frequencies when the integrated spectral energy remains approximately conserved. We discuss modal decompositions of the Doppler power spectrum $P(x,y,t,\omega)={\rm abs}({S(x,y,t,\omega)})^2$ that are designed to capture broadening---a spectral shape phenomenon---rather than raw amplitude changes. The central idea is to separate overall scale, encoded by the total spectral energy $\mathcal{E}(x,y,t)$, from normalized spectral shape descriptors such as energy-normalized spectra $p(\omega)$ and cumulative distribution function (CDF) embeddings $c_r(\omega)$. These representations make broadening dynamics low-dimensional and interpretable, enabling robust biomarkers of spectral width, signed asymmetry, beat-resolved modulation, and arterio-venous mapping in the choroidal plexuses.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average