Publication

An FRI Approach to Super-resolution Light Microscopy

2015
Student Projects

Abstract

Super-resolution is a set of techniques used to enhance resolution of image. This work focuses on super resolution used in fluorescent microscopy, ex to image structures in the living cell. In this report we present new method for this task, both in one dimension and in two dimensions, based on Finite Rate of Innovation. Presented method in one dimension uses Prony’s (or annihilating filter) method for spectral estimation, and in two dimension uses algebraically coupled matrix pencils (ACMP) algorithm. We test this method on artificial images.

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2015
Student Projects

Abstract

Official source

Related concepts (32)

Super-resolution microscopy

Super-resolution microscopy is a series of techniques in optical microscopy that allow such images to have resolutions higher than those imposed by the diffraction limit, which is due to the diffraction of light. Super-resolution imaging techniques rely on the near-field (photon-tunneling microscopy as well as those that use the Pendry Superlens and near field scanning optical microscopy) or on the far-field.

Microscopy

Microscopy is the technical field of using microscopes to view objects and areas of objects that cannot be seen with the naked eye (objects that are not within the resolution range of the normal eye). There are three well-known branches of microscopy: optical, electron, and scanning probe microscopy, along with the emerging field of X-ray microscopy. Optical microscopy and electron microscopy involve the diffraction, reflection, or refraction of electromagnetic radiation/electron beams interacting with the specimen, and the collection of the scattered radiation or another signal in order to create an image.

Super-resolution imaging

Super-resolution imaging (SR) is a class of techniques that enhance (increase) the of an imaging system. In optical SR the diffraction limit of systems is transcended, while in geometrical SR the resolution of digital is enhanced. In some radar and sonar imaging applications (e.g. magnetic resonance imaging (MRI), high-resolution computed tomography), subspace decomposition-based methods (e.g. MUSIC) and compressed sensing-based algorithms (e.g., SAMV) are employed to achieve SR over standard periodogram algorithm.

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An FRI Approach to Super-resolution Light Microscopy

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