Drawing with Fourier Epicycles

GUI that computes the required epicycles to match a custom drawing by using DFTs
691 Downloads
Updated Mon, 05 Oct 2020 15:57:43 +0000

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;

--------------------------------------------------------------------------------------------------------
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);

Cite As

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

MATLAB Release Compatibility
Created with R2018a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Detection, Range and Doppler Estimation in Help Center and MATLAB Answers

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes
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

Thumbnail changed

1.0.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.