Worley noise, sometimes called cell (or cellular) noise, is quite distinct due to it's kinship to voronoi tesselation. It is created by sampling random points in space and then for any point in space measure the distance to the closest point. The noise can be modified further by changing either the distance measure or by combining multiple distances. The noise algorithm was developed by Steven Worley in 1996 and has been used to simulated water and stone textures among other things.

```
noise_worley(
dim,
frequency = 0.01,
distance = "euclidean",
fractal = "none",
octaves = 3,
lacunarity = 2,
gain = 0.5,
value = "cell",
distance_ind = c(1, 2),
jitter = 0.45,
pertubation = "none",
pertubation_amplitude = 1
)
gen_worley(
x,
y = NULL,
z = NULL,
frequency = 1,
seed = NULL,
distance = "euclidean",
value = "cell",
distance_ind = c(1, 2),
jitter = 0.45,
...
)
```

- dim
The dimensions (height, width, (and depth)) of the noise to be generated. The length determines the dimensionality of the noise.

- frequency
Determines the granularity of the features in the noise.

- distance
The distance measure to use, either

`'euclidean'`

(default),`'manhattan'`

, or`'natural'`

(a mix of the two)- fractal
The fractal type to use. Either

`'none'`

,`'fbm'`

(default),`'billow'`

, or`'rigid-multi'`

. It is suggested that you experiment with the different types to get a feel for how they behaves.- octaves
The number of noise layers used to create the fractal noise. Ignored if

`fractal = 'none'`

. Defaults to`3`

.- lacunarity
The frequency multiplier between successive noise layers when building fractal noise. Ignored if

`fractal = 'none'`

. Defaults to`2`

.- gain
The relative strength between successive noise layers when building fractal noise. Ignored if

`fractal = 'none'`

. Defaults to`0.5`

.- value
The noise value to return. Either

`'value'`

(default) A random value associated with the closest point`'distance'`

The distance to the closest point`'distance2'`

The distance to the nth closest point (n given by`distance_ind[1]`

)`'distance2add'`

Addition of the distance to the nth and mth closest point given in`distance_ind`

`'distance2sub'`

Substraction of the distance to the nth and mth closest point given in`distance_ind`

`'distance2mul'`

Multiplication of the distance to the nth and mth closest point given in`distance_ind`

`'distance2div'`

Division of the distance to the nth and mth closest point given in`distance_ind`

- distance_ind
Reference to the nth and mth closest points that should be used when calculating

`value`

.- jitter
The maximum distance a point can move from its start position during sampling of cell points.

- pertubation
The pertubation to use. Either

`'none'`

(default),`'normal'`

, or`'fractal'`

. Defines the displacement (warping) of the noise, with`'normal'`

giving a smooth warping and`'fractal'`

giving a more eratic warping.- pertubation_amplitude
The maximal pertubation distance from the origin. Ignored if

`pertubation = 'none'`

. Defaults to`1`

.- x, y, z
Coordinates to get noise value from

- seed
The seed to use for the noise. If

`NULL`

a random seed will be used- ...
ignored

For `noise_worley()`

a matrix if `length(dim) == 2`

or an array if
`length(dim) == 3`

. For `gen_worley()`

a numeric vector matching the length of
the input.

Worley, Steven (1996). *A cellular texture basis function*. Proceedings of the 23rd annual conference on computer graphics and interactive techniques. pp. 291–294. ISBN 0-89791-746-4