Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Aliasing

Aliasing

Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...

Convergence of Fourier Series

Convergence of Fourier Series

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.
The Gibbs phenomenon refers to the persistent oscillations and overshoots that occur near discontinuities...

Properties of Fourier Transform II

Properties of Fourier Transform II

The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...

Properties of Fourier Transform I

Properties of Fourier Transform I

The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...

Discrete Fourier Transform

Discrete Fourier Transform

The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...

Continuous -time Fourier Transform

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Afatinib versus gefitinib in patients with EGFR mutation-positive advanced non-small-cell lung cancer: overall survival data from the phase IIb LUX-Lung 7 trial.

Annals of oncology : official journal of the European Society for Medical Oncology·2017

Same author

Carers' perceptions of pain in people with dementia: a grounded theory approach.

The Australian journal of holistic nursing·2009

Same author

The implementation of reproductive health programs: experiences, achievements and challenges.

International journal of gynaecology and obstetrics: the official organ of the International Federation of Gynaecology and Obstetrics·2000

Same author

Prediction of pathological stage and clinical outcome in prostate cancer: an improved pre-operative model incorporating biopsy-determined intraductal carcinoma.

British journal of urology·1998

Same author

The health educator as counselor: what does it take?

Health education·1986

Same author

Paradoxical behaviour of antithrombin III during hemodialysis and its prevention with prostacyclin.

Clinical nephrology·1982

Search research articles

Related Experiment Video

Updated: May 29, 2026

$Multifractal Spectrum Analysis for Assessing Pulmonary Nodule Malignancy$

Multifractal Spectrum Analysis for Assessing Pulmonary Nodule Malignancy

Published on: January 10, 2025

Multispectral texture synthesis using fractal concepts.

¹Research Initiative in Pattern Recognition, RSRE, St. Andrews Road, Malvern WR14 3PS, England.

IEEE Transactions on Pattern Analysis and Machine Intelligence

|August 27, 2011

Summary

Researchers synthesized natural textures using a single descriptor per spectral band, creating multispectral camouflage. This study determined the eye

Area of Science:

Computer Vision
Image Processing
Optics

Background:

Natural textures exhibit complex statistical properties across multiple spectral bands.
Previous texture synthesis models often require numerous descriptors, limiting efficiency.
Understanding human visual perception of texture is crucial for camouflage applications.

Purpose of the Study:

To develop an efficient method for synthesizing natural textures across spectral bands.
To investigate the role of fractal dimension in human texture perception.
To generate multispectral camouflage mimicking natural textures.

Main Methods:

Texture synthesis using a single second-order descriptor per spectral band.
Application of the Fractal model for monochrome textures as a null-hypothesis.

More Related Videos

Applying Hyperspectral Reflectance Imaging to Investigate the Palettes and the Techniques of Painters

Applying Hyperspectral Reflectance Imaging to Investigate the Palettes and the Techniques of Painters

Published on: June 18, 2021

A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Related Experiment Videos

Last Updated: May 29, 2026

$Multifractal Spectrum Analysis for Assessing Pulmonary Nodule Malignancy$

Multifractal Spectrum Analysis for Assessing Pulmonary Nodule Malignancy

Published on: January 10, 2025

Applying Hyperspectral Reflectance Imaging to Investigate the Palettes and the Techniques of Painters

Applying Hyperspectral Reflectance Imaging to Investigate the Palettes and the Techniques of Painters

Published on: June 18, 2021

A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Psychophysical experiments to determine the eye's sensitivity to fractal dimension.

Main Results:

Successful synthesis of natural textures across multiple spectral bands with minimal descriptors.
Quantification of the human visual system's sensitivity to fractal dimension under specific conditions.
Generation of effective multispectral camouflage patterns.

Conclusions:

A computationally efficient approach to natural texture synthesis is feasible using limited descriptors.
Fractal dimension plays a significant role in the visual perception of synthesized textures.
The developed method enables the creation of advanced multispectral camouflage.