Generate 2D Disk

Generates a 2D disk with a gradual falloff.

Disk generated using the following formula:

(-22.35 * cos(1.68 * r²) + 85.91 * sin(1.68 * r²) ) * exp(-4.89 * r²) + (35.91 * cos(4.99 * r²) - 28.87 * sin(4.99 * r²)) * exp(-4.71 * r²) + (-13.21 * cos(8.24 * r²) - 1.57 * sin(8.24 * r²)) * exp(-4.05 * r²) + (0.50 * cos(11.90 * r²) + 1.81 * sin(11.90 * r²)) * exp(-2.92 * r²) + (0.13 * cos(16.11 * r²) - 0.01 * sin(16.11 * r²)) * exp(-1.51 * r²)

The origin of the coordinate system is the center of the matrix.

generate_2d_disk(dim = c(11, 11), radius = 1, rescale_unity = FALSE)

Arguments

dim

Default c(11, 11). The dimensions of the matrix.

radius

Default 1. Radius of the disk, compared to the dimensions. Should be less than one.

rescale_unity

Default FALSE. If TRUE, this will rescale the max value to one. Useful if wanting to plot the distribution with plot_image().

Examples

if(run_documentation()){
image(generate_2d_disk(101), asp=1)
}