Exponential Smoothing

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Alternate Mapping: Exponential Smoothing

The Fractal Science Kit fractal generator Alternate Mapping Exponential Smoothing generates a smoothed value based on an algorithm by Ron Barnett.

See also:

The Exponential Smoothing properties pages are:

  • Properties

The Properties page supports several properties to control the results.

Fractal Science Kit: Expontial Smoothing

Processing Options

The Processing Options section allows you to control the value to be smoothed.

Value is one of:

  • Magnitude
  • Orbit Transformation
  • Triangle Metric

Magnitude is given by the Magnitude property on the Mandelbrot / Julia / Newton page. Orbit Transformation is defined by the Orbit Transformation page. Triangle Metric is defined by the Triangle Metric page. The alternate point's Value is set to the smoothed value. The alternate point's Index is set to the dwell. Angle is not used.

Variation is one of:

  • None
  • Angular Wave
  • Angular Bounce
  • Radial Wave
  • Radial Bounce
  • Horizontal Wave
  • Horizontal Bounce
  • Vertical Wave
  • Vertical Bounce
  • XY Wave
  • XY Bounce

Variation sets the wave/bounce transformation applied to the value. The amplitude/frequency of the wave/bounce are given by the Amplitude and Frequency properties. Both properties can be positive or negative but not 0.

Orbit Generation

The Orbit Generation section defines 3 properties: Min Dwell, Max Dwell, and Mod Dwell. These values control the set of orbit points that are considered when processing the orbit. Min Dwell is the 1st dwell to check. Max Dwell is the last dwell to check. Mod Dwell - 1 is the number of dwells to skip between checks. That is, a dwell is processed if the dwell is between MinDwell and MaxDwell inclusive, and (dwell - MinDwell) % ModDwell = 0.

 

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