## Abstract

In this work, we present a method providing real-time, low cost, three-dimensional imaging in a three-dimensional optical micromanipulation system. The three-dimensional imaging system is based on a small form factor LED based projector. The projector is used to dynamically shape the rear illumination light in a counter-propagating beam-trapping setup. This allows us to produce stereoscopic images, from which the human brain can construct a three-dimensional image, or alternatively image analysis can be applied by a computer, thereby obtaining true three-dimensional coordinates in real-time for the trapped objects.

© 2008 Optical Society of America

Full Article |

PDF Article
### Equations (2)

Equations on this page are rendered with MathJax. Learn more.

(1)
$$\left[\begin{array}{cc}1& {f}_{1}\\ 0& 1\end{array}\right]\xb7\left[\begin{array}{cc}1& 0\\ \frac{-1}{{f}_{1}}& 1\end{array}\right]\xb7\left[\begin{array}{cc}1& {f}_{1}+{f}_{2}-{d}_{1}-{d}_{2}\\ 0& 1\end{array}\right]\xb7\left[\begin{array}{cc}1& 0\\ \frac{-1}{{f}_{\mathrm{cor}2}}& 1\end{array}\right]\xb7\left[\begin{array}{cc}1& {d}_{2}\\ 0& 1\end{array}\right]\xb7\left[\begin{array}{cc}1& 0\\ \frac{-1}{{f}_{\mathrm{cor}}}& 1\end{array}\right]\xb7\left[\begin{array}{cc}1& {d}_{1}\\ 0& 1\end{array}\right]\xb7\left[\begin{array}{cc}1& {f}_{2}+z\\ 0& 1\end{array}\right]\xb7\left(\begin{array}{c}0\\ \theta \end{array}\right)=\left(\begin{array}{c}x\\ y\end{array}\right)$$
(2)
$$z=\frac{{x}_{\mathrm{blue}}-{x}_{\mathrm{red}}}{2\mathrm{tan}\theta}$$