Variational Hilbert Quantitative Phase Imaging

Quantitative Phase Imaging

Variational inequalities on Hilbert $C^*$-modules

We introduce variational inequality problems on Hilbert $C^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. Then relation between variational inequalities, $C^*$-valued metric projection and fixed point theory  on  Hilbert $C^*$-modules is studied.

Quantitative Phase Shift Variance Imaging

Molecular ultrasound imaging is based on the detection of contrast agents (microbubbles) targeted to disease specific receptors in the vasculature. By quantifying the amount of the adherent microbubbles a change in the expression of these receptors and thus the disease development can be assessed. Quantification of microbubbles from ultrasound images in vivo was thus far mainly performed by ana...

variational inequalities on hilbert $c^*$-modules

we introduce variational inequality problems on hilbert $c^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. then relation between variational inequalities, $c^*$-valued metric projection and fixed point theory  on  hilbert $c^*$-modules is studied.

Quantitative phase measurement in coherent diffraction imaging.

We demonstrate high spatial resolution phase retrieval of a non-periodic gold nano-structure using the method of Fresnel coherent diffractive imaging. The result is quantitative to better than 10% and does not rely on any a priori knowledge of the sample.