DMCA
DIC microscopic imaging of living cells – Error analysis of Born approximation
BibTeX
@MISC{_dicmicroscopic,
author = {},
title = {DIC microscopic imaging of living cells – Error analysis of Born approximation},
year = {}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract — A differential interference contrast (DIC) micro-scope is an effective non-invasive interferometer for visualizing live, transparent biological cells, transforming phase variations to intensity contrast images. In fertility clinics the DIC microscope is used for morphological evaluation of human embryo thick cells in order to choose the best embryos to transfer back to the uterus. This evaluation is qualitative and expert dependent. Quantifying the embryos ’ shape will improve the selection of embryos and the chance to obtain pregnancy and birth. A reconstruction of the visualized object shape out of 2D DIC images is thus needed, preceded by understanding the DIC image formation. The Born approximation is often used within the image formation model, as it simplifies the object shape reconstruction in both DIC and light microscopes. However, this approximation is limited to modeling thin objects lying in the range of the validity region. A different approach to modeling is based on the Lorentz-Mie scattering theory (Mie series solution) which has no such limitations. Yet, the image reconstruction using the Mie solution is non-trivial. In this work the Born approximation is compared to the Mie solution for an error analysis. In particular, since the DIC technique is based on translating phase shift into contrast images, we study the Born approximation in terms of phase and amplitude separately. It is well known that asymptotic approximations might be useful outside their strictly defined validity region. Therefore a potential expansion of the Born approximation validity region is sought to make it suitable for various problems of practical interest. I.
Keyphrases
born approximation living cell error analysis dic microscopic imaging validity region mie solution contrast image transparent biological cell different approach morphological evaluation expert dependent image reconstruction thin object asymptotic approximation embryo shape dic image human embryo thick cell born approximation validity region dic technique lorentz-mie scattering theory error analysis practical interest potential expansion dic image formation phase shift image formation model visualized object shape various problem differential interference contrast light microscope object shape reconstruction dic microscope phase variation mie series solution effective non-invasive interferometer fertility clinic
