Voronoi

The voronoi texture is used to generate very convincing Metal, especially the “Hammered” effect. Organic shaders (e.g. scales, veins in skin).

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Voronoi Texture panels.

Options

Distance Metric

This procedural texture has seven Distance Metric options. These determine the algorithm to find the distance between cells of the texture. These options are:

  • Minkowsky
  • Minkowsky 4
  • Minkowsky 1/2
  • Chebychev
  • Manhattan
  • Distance Squared
  • Actual Distance

The Minkowsky setting has a user definable value (the Exponent button) which determines the Minkowsky exponent e of the distance function:

(xe + ye + ze)1/e

A value of one produces the Manhattan distance metric, a value less than one produces stars (at 0.5, it gives a Minkowsky 1/2), and higher values produce square cells (at 4.0, it gives a Minkowsky 4, at 10.0, a Chebychev). So nearly all Distance Settings are basically the same – a variation of Minkowsky.

You can get irregularly-shaped rounded cells with the Actual Distance / Distance Squared options.

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Minkowsky Exponent: 0.5 (Minkowsky 1/2).

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Minkowsky Exponent: 1 (Manhattan).

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Minkowsky Exponent: 2 (Actual Distance).

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Minkowsky Exponent: 4 (Minkowsky 4).

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Minkowsky Exponent: 10 (Chebychev).

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Distance Squared (more contrast than Actual Distance).

Feature Weights
These four sliders at the bottom of the Voronoi panel represent the values of the four Worley constants, which are used to calculate the distances between each cell in the texture based on the distance metric. Adjusting these values can have some interesting effects on the end result…
Coloring
Four settings (Intensity, Position, Position and Outline, and Position, Outline, and Intensity) that can use four different noise basis as methods to calculate color and intensity of the texture output. This gives the Voronoi texture you create with the “Worley Sliders” a completely different appearance and is the equivalent of the noise basis setting found on the other textures.