Numerical analysis of computational-cannula microscopy

Deep-brain imaging via epi-fluorescence Computational Cannula Microscopy

Here we demonstrate widefield (field diameter = 200 μm) fluorescence microscopy and video imaging inside the rodent brain at a depth of 2 mm using a simple surgical glass needle (cannula) of diameter 0.22 mm as the primary optical element. The cannula guides excitation light into the brain and the fluorescence signal out of the brain. Concomitant image-processing algorithms are utilized to conv...

Lectures in Basic Computational Numerical Analysis Lectures in Basic Computational Numerical Analysis

From Numerical Analysis to Computational Science

The modern development of numerical computing is driven by the rapid increase in computer performance. The present exponential growth approximately follows Moore’s law, doubling in capacity every eighteen months. Numerical computing has, of course, been part of mathematics for a very long time. Algorithms by the names of Euclid, Newton and Gauss, originally designed for computation “by hand”, a...

Computational Image Analysis Techniques for Super-resolution Localization Microscopy Computational Image Analysis Techniques for Super-resolution Localization Microscopy

Super-resolution microscopy techniques, which overcome the diffraction limit of optical microscopy, are revolutionizing biological research by providing the ability to localize proteins within cells at nanometer resolution. Super-resolution localization microscopy (SRLM) is one of such techniques. It achieves nanometer resolution by randomly activating separate fluorophores and computationally ...

Theoretical analysis of numerical aperture increasing lens microscopy

We present a detailed theoretical analysis and experimental results on a subsurface microscopy technique that significantly improves the light-gathering, resolving, and magnifying power of a conventional optical microscope. The numerical aperture increasing lens sNAILd is a plano-convex lens placed on the planar surface of an object to enhance the amount of light coupled from subsurface structu...