Drawing with Fourier Epicycles

GUI that computes the required epicycles to match a custom drawing by using DFTs
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Actualizado 5 Oct 2020

An epicycle is an orbit revolving around a point on the deferent. This GUI computes the required epicycles (i.e., radii, frequency and phase of all of them) in order to match a previously drawn curve, depicting an animation to see the result. The function also allows for uploading the XY coordinates of a custom curve, if needed.

Example of use:
fourier_main;

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The main function is 'fourier_epicycles(curve_x, curve_y, no_circles)', the rest of them are required to plot the GUI. Thus, this function can be used separately. Basically, the function converts XY coordinates in a complex vector Z = X + iY. Afterwards, it computes the Discrete Fourier Transform of Z, which is used to derive the radii (abs(Z)), frequency (index) and initial phase (angle(Z)) of each circle.

Input parameters:
- curve_x: X coordinates of the curve.
- curve_y: Y coordinates of the curve.
- no_circles: (Optional) Maximum number of circles. The maximum drawing accuracy is reached if the no_circles is exactly the number of points of the curve.

Example of use:
load('heart.mat'); fourier_epicycles(curve_x, curve_y);

Citar como

Víctor Martínez-Cagigal (2024). Drawing with Fourier Epicycles (https://github.com/vicmarcag/Drawing-with-Fourier-Epicycles/releases/tag/1.1.0), GitHub. Recuperado .

Compatibilidad con la versión de MATLAB
Se creó con R2018a
Compatible con cualquier versión
Compatibilidad con las plataformas
Windows macOS Linux
Categorías
Más información sobre Detection, Range and Doppler Estimation en Help Center y MATLAB Answers.

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Versión Publicado Notas de la versión
1.1.0

See release notes for this release on GitHub: https://github.com/vicmarcag/Drawing-with-Fourier-Epicycles/releases/tag/1.1.0

1.0.1

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1.0.0

Para consultar o notificar algún problema sobre este complemento de GitHub, visite el repositorio de GitHub.
Para consultar o notificar algún problema sobre este complemento de GitHub, visite el repositorio de GitHub.