Obtaining 3D super-resolution images by utilizing rotationally symmetric structures and 2D-to-3D transformation

Super-resolution imaging techniques have provided unprecedentedly detailed information by surpassing the diffraction-limited resolution of light microscopy. However, in order to derive high quality spatial resolution, many of these techniques require high laser power, extended imaging time, dedicated sample preparation, or some combination of the three. These constraints are particularly evident when considering three-dimensional (3D) super-resolution imaging. As a result, high-speed capture of 3D super-resolution information of structures and dynamic processes within live cells remains both desirable and challenging. Recently, a highly effective approach to obtain 3D super-resolution information was developed that can be employed in commonly available laboratory microscopes. This development makes it both scientifically possible and financially feasible to obtain super-resolution 3D information under certain conditions. This is accomplished by converting 2D single-molecule localization data captured at high speed within subcellular structures and rotationally symmetric organelles. Here, a high-speed 2D single-molecule tracking and post-localization technique, known as single-point edge-excitation sub-diffraction (SPEED) microcopy, along with its 2D-to-3D transformation algorithm is detailed with special emphasis on the mathematical principles and Monte Carlo simulation validation of the technique.