Nearfield Fourier transform imaging

Birefringent Fourier-transform imaging spectrometer.

Fourier-transform imaging spectrometers offer important advantages over other spectral imaging modalities, such as, a wider free spectral range, higher spectral resolutions and, in low-photon-flux conditions, higher signal-to-noise ratios can be achieved. Unfortunately, for application in harsh environments, deployment of Fourier-transform instruments based on traditional moving-mirror interfer...

Fourier Transform Based Hyperspectral Imaging

A hyperspectral imaging system (HSIS) is a combination of an imaging device and a spectrometer. The result is a 2D image combined with the third dimension containing the spectral composition of each pixel of the image. Spectrometers normally implemented in hyperspectral imaging systems are made by integrating a dispersive means (a prism or a grating) in an optical system, with the drawback of h...

Applications of Fourier Transform to Imaging Analysis

In this report, we propose a novel automatic and computationally efficient method of Fourier imaging analysis using Fourier transform. Besides Fourier transform’s many applications, one can use Fourier transform to select significant frequencies of an observed noisy signal, which can be applied as a model selection tools of (weighted) Fourier series analysis of medical images. Both simulated da...

Wide-field Fourier transform spectral imaging

Fourier Transform

Very broadly speaking, the Fourier transform is a systematic way to decompose “generic” functions into a superposition of “symmetric” functions. These symmetric functions are usually quite explicit (such as a trigonometric function sin(nx) or cos(nx)), and are often associated with physical concepts such as frequency or energy. What “symmetric” means here will be left vague, but it will usually...