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Related Concept Videos

Vision01:24

Vision

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Vision is the result of light being detected and transduced into neural signals by the retina of the eye. This information is then further analyzed and interpreted by the brain. First, light enters the front of the eye and is focused by the cornea and lens onto the retina—a thin sheet of neural tissue lining the back of the eye. Because of refraction through the convex lens of the eye, images are projected onto the retina upside-down and reversed.
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Passive Filters01:27

Passive Filters

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Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
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Active Filters01:25

Active Filters

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Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
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Color Vision01:24

Color Vision

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Color perception begins in the retina, the light-sensitive layer at the back of the eye. Two main theories explain how colors are seen: the trichromatic theory and the opponent-process theory. The trichromatic theory, proposed by Thomas Young in 1802 and extended by Hermann von Helmholtz in 1852, suggests that color vision is based on three types of cone receptors in the retina. These cones are sensitive to different but overlapping ranges of wavelengths corresponding to red, blue, and green.
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Trigonometric Fourier series01:17

Trigonometric Fourier series

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Fourier series is a foundational mathematical technique that decomposes periodic functions into an infinite series of sinusoidal harmonics. This method enables the representation of complex periodic signals as sums of simple sine and cosine functions, facilitating their analysis and interpretation in various fields, including signal processing, acoustics, and electrical engineering.
The trigonometric Fourier series specifically expresses a periodic function with a defined period T using sine...
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Convergence of Fourier Series01:21

Convergence of Fourier Series

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The Fourier series is a powerful mathematical tool for representing periodic signals as an infinite sum of complex exponentials. In practice, this infinite series is truncated to a finite number of terms, yielding a partial sum. This truncation makes the approximation of the signal feasible but introduces certain challenges, particularly near discontinuities, known as the Gibbs phenomenon.
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Updated: Jan 30, 2026

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
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Single-pixel imaging with Fourier filtering: application to vision through scattering media.

Y Jauregui-Sánchez, P Clemente, J Lancis

    Optics Letters
    |February 1, 2019
    PubMed
    Summary

    We developed a new method for imaging through scattering media using single-pixel imaging and Fourier spatial filtering. This technique enhances image contrast, outperforming conventional imaging methods for clearer visualization through scattering environments.

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    Area of Science:

    • Optics and Photonics
    • Image Processing
    • Biomedical Imaging

    Background:

    • Imaging through scattering media remains a significant challenge in various scientific fields.
    • Conventional imaging techniques often struggle with signal degradation caused by scattering.
    • Developing advanced imaging methods is crucial for applications requiring visualization in turbid environments.

    Purpose of the Study:

    • To introduce and evaluate a novel approach for imaging through scattering media.
    • To compare the performance of single-pixel imaging with conventional systems in scattering conditions.
    • To demonstrate the efficacy of Fourier spatial filtering in enhancing image contrast.

    Main Methods:

    • Combined Fourier spatial filtering with single-pixel imaging.
    • Utilized a small pinhole as a low-pass filter in the single-pixel camera setup.
    • Introduced Fourier gating to improve image contrast in both single-pixel and conventional systems.

    Main Results:

    • Single-pixel imaging with a pinhole filter preserved the object's frequency content.
    • Fourier gating significantly improved image contrast in scattering media for both imaging systems.
    • Single-pixel imaging demonstrated superior performance compared to conventional imaging when employing Fourier gating.

    Conclusions:

    • Single-pixel imaging is a highly effective technique for imaging through scattering media.
    • Fourier gating is a key enabler for contrast enhancement in scattering environments.
    • The proposed method offers a promising solution for advanced imaging applications in turbid media.