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Related Concept Videos

Downsampling01:20

Downsampling

When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
Super-resolution Fluorescence Microscopy01:37

Super-resolution Fluorescence Microscopy

Super-resolution fluorescence microscopy (SRFM) provides a better resolution than conventional fluorescence microscopy by reducing the point spread function (PSF). PSF is the light intensity distribution from a point that causes it to appear blurred. Due to PSF, each fluorescing point appears bigger than its actual size, and it is the PSF interference of nearby fluorophores that causes the blurred image. Various approaches to achieving higher resolution through SRFM have recently been developed.

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Related Experiment Video

Updated: May 7, 2026

A Multimodal Wide-Field Fourier-Transform Raman Microscope
06:48

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Simple and rapid data-reduction method with pixel-level spatial frequency of shift-rotation method.

W Song, X Hou, F Wu

    Applied Optics
    |October 3, 2013
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a new absolute shift-rotation method for surface metrology. It simplifies surface deviation calculations, offering a rapid and reliable way to calibrate reference surfaces.

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    Last Updated: May 7, 2026

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    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
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    Published on: February 12, 2014

    Area of Science:

    • Surface metrology
    • Optical engineering
    • Precision measurement

    Background:

    • Absolute testing is crucial for calibrating reference surfaces in metrology.
    • Existing methods can be complex and computationally intensive.

    Purpose of the Study:

    • To introduce a simplified and reliable data-reduction method for absolute surface testing.
    • To decompose surface deviation into rotationally asymmetric and symmetric components for easier analysis.

    Main Methods:

    • Employs an absolute shift-rotation method using rotational and translational measurements.
    • Decomposes surface deviation into asymmetric (N-position averaging) and symmetric components.
    • Simplifies 2D symmetric deviation estimation to a 1D problem using pixel-level spatial frequency analysis.

    Main Results:

    • Successfully decomposes and calculates surface deviations.
    • Eliminates the need for complex orthogonal polynomial fitting (e.g., Zernike polynomials).
    • Demonstrates experimental validation on spherical surfaces, showing rapid and simple data reduction.

    Conclusions:

    • The presented method offers a computationally efficient and accurate approach to absolute surface testing.
    • It simplifies the data reduction process, making absolute surface calibration more accessible.
    • The method is particularly effective for analyzing spherical surfaces.