FourierEpicycles Sketching
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CONTOUR LAB / 001

Any shape.
A sum of circles.

From image to equation.
Find how many harmonics your drawing needs.

Great Britain · sketch
SIMULATION
HARMONICS20
RMS ERROR—%
CONTOUR 1/10%
0:00 / 1:00

LESS ERROR, MORE DETAIL

How does accuracy change?

Each extra harmonic reconstructs finer parts of the contour.

N = 1N · logarithmic scale →1023
SAMPLES / CONTOUR2 048—

Uniform sampling along the line length.

What are we drawing?Equation, coefficients and error definition +

zN(t) = ∑k=−NN ck ei2πkt

First coefficients · active contour
kRe(cₖ)Im(cₖ)|cₖ|

Appearance

x(t)y(t)Accent

Changes apply immediately, including to exported video. Preferences stay only in memory.

YOUR VIDEO, YOUR FRAME

Choose a video format

Resolution sets the shorter edge; 4K uses 2160 px. Export is always 60 fps.

The video ends with formulas, the result, the watermark, and the fixed site URL and QR code.

Suggested uses only. You can upload any format wherever it is accepted.

FROM IMAGE TO EQUATION

Three steps. Everything local.