Houdini 20.5 Nodes Copernicus nodes

Julia Fractal Copernicus node

Summary.

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This operation computes the Julia set for a provided parameterizations. The Julia set was originally discovered from investigations into complex dynamics, but its chaotic and fractal nature makes it of great interest for aesthetic uses as well. It is closely related to the Mandelbrot set - if parameter to the Julia set are connected, then parameters form a point in the Mandelbrot set.

Parameters

Signature

Whether to output a Mono layer of the normalized time-to-escape, or an ID layer that contains the actual number of iterations before escape.

Scale

A zoom factor to apply to the incoming image coordinates.

Real Coefficient

The real coefficient to setup the Julia fractal.

Imaginary Coefficient

The imaginary coefficient to setup the Julia fractal.

Escape Radius

The threshold at which the point is considered to have escaped.

Maximum Iterations

Number of iterations at which to conclude the point has not escaped.

Inputs

size_ref

A representative layer that determines the size of the output image and controls the metadata.

Outputs

fractal

Either a Mono layer including escape time, which Mono to RGB can be used to convert to colorful image, or an ID layer of the exact integers of escape iterations.

See also

Copernicus nodes