M 158 / 18307 Filters & Motionalgorithm output

Fourier Magnitude Spectrum

filtering, restoration & motion

Typeface · Space Grotesk

Real-world algorithm demonstration, applied to a NASA portrait.
Real-world algorithm demonstration, applied to a NASA portrait.Image: NASA / Eileen Collins · scikit-image (public domain)View source ↗

Prompt

Apply Fourier Magnitude Spectrum as a dominant translucent visualization over the photograph: a brilliant central point, symmetric starburst streaks, and scattered grayscale frequency speckles against a dark field. Compress brightness to reveal faint surrounding structures, retaining the scene subtly beneath the pattern. Preserve the original subject and composition.

Identify

A star-like frequency pattern replaces the scene.

Principle

The two-dimensional Fourier transform1 reveals spatial frequency2 components.

Try it out

Which directions stand out in the spectrum?

Classification

Calculated image processing result.

Further examples · 7 images

Dandelion clock dft dct
02 Dandelion clock dft dctA dandelion clock image is shown alongside its Discrete Fourier Transform (DFT) heat map. The central red glow in the DFT represents the concentrated low-frequency spatial components of the original image.Alessio Damato · CC BY-SA 3.0 · Wikimedia Commons
Fourier Slice Theorem
03 Fourier Slice TheoremThe diagram displays a medical cross-section, its 1D projections, and a 2D Fourier spectrum. It demonstrates the relationship between spatial lines in the spectrum and periodic patterns within the source image.Andreas Maier · CC BY 4.0 · Wikimedia Commons
Chest radiograph 2D Fourier Spectrum
04 Chest radiograph 2D Fourier SpectrumA chest radiograph is shown alongside its 2D Fourier spectrum. The spectrum displays a central brightness representing low frequencies and a cross-pattern corresponding to the vertical and horizontal spatial structures in the anatomical image.Generated by Kieran Maher using NIH Image. · Public domain · Wikimedia Commons
NM13 8
05 NM13 8The panel shows a diagonal grating and its corresponding Fourier magnitude spectrum as a pair of dots. It demonstrates how a single spatial frequency in an image translates to specific coordinates in frequency space.KieranMaher at English Wikibooks · Public domain · Wikimedia Commons
TiMnImage2y
06 TiMnImage2yA micrograph of a quasicrystal is shown with its Fourier transform inset. The star-like, ten-fold symmetrical diffraction pattern in the spectrum reveals the complex periodicities and spatial orientations present in the physical structure.P. Fraundorf · CC BY-SA 3.0 · Wikimedia Commons
FFT.filtered.Siemens.star
07 FFT.filtered.Siemens.starThe image shows the 2D Fourier magnitude spectrum of a Siemens star test pattern. The radial lines in the spectrum correspond directly to the angular spatial frequencies of the spokes in the input scene.Bautsch · CC0 · Wikimedia Commons