File:Perlin animation 6 octaves.gif

Original file (1,024 × 1,024 pixels, file size: 1.61 MB, MIME type: image/gif, looped, 6 frames, 9.0 s)

Summary

Description
English: Animation of Perlin noise in which 6 octaves of 2-D noise are added together. At each step, noise frequency is doubled and amplitude is halved. The result is fractal noise.
Date
Source Own work
Author Morn
GIF development
InfoField
 
This GIF graphic was created with Python.
Source code
InfoField

Python code

Source code 
#!/usr/bin/env python3  from numpy import * from PIL import Image, ImageDraw, ImageFont import random  random.seed("Perlin") fnt = ImageFont.truetype('Courier Prime.ttf', 100)  XDIM, YDIM = 100, 100     # gradient mesh size (must be big enough for highest octave) XDP, YDP = 1024, 1024     # Perlin noise array size  phi = zeros((YDIM, XDIM))   # gradient phase angles perlin = zeros((YDP, XDP))  # Perlin noise array  # choose random phase angles for gradients for y in range(YDIM):     for x in range(XDIM):         phi[y,x] = 2 * pi * random.random()  def grad(x0, y0, dx, dy):     "Compute the dot product between the gradient and position vector"     gx, gy = cos(phi[y0,x0]), sin(phi[y0,x0])     return gx * dx + gy * dy  def inter(a, b, w):     "Interpolate between a and b using weight w"     return (b - a) * ((w * (w * 6 - 15) + 10) * w * w * w) + a  # smootherstep  # compute Perlin noise in several octaves and add it together for nscale, SCALE in enumerate((512, 256, 128, 64, 32, 16)):     for yi in range(YDP):         for xi in range(XDP):             x, y = xi / SCALE, yi / SCALE             x0, y0 = int(x), int(y)             dx, dy = x - x0, y - y0              g1 = grad(x0, y0, dx, dy)             g2 = grad(x0 + 1, y0, -1 + dx, dy)             g3 = grad(x0, y0 + 1, dx, -1 + dy)             g4 = grad(x0 + 1, y0 + 1, -1 + dx, -1 + dy)              perlin[yi,xi] += (.5**nscale) * inter(inter(g1, g2, dx), inter(g3, g4, dx), dy)      p2 = (perlin * 128 + 128).astype(uint8)     im = Image.fromarray(p2, mode = "L")     d = ImageDraw.Draw(im)     d.text((0, 0), "%u" % (nscale + 1), font = fnt, fill = 255, align = "left")     im.save("out%u.png" % nscale)     print("saved out%u.png" % nscale)  # Create GIF animation with ImageMagick: # convert -delay 150 out*.png -loop 0 perlin_animation_6_octaves.gif

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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Perlin noise

inception

3 December 2023

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Date/TimeThumbnailDimensionsUserComment
current14:45, 3 December 2023Thumbnail for version as of 14:45, 3 December 20231,024 × 1,024 (1.61 MB)MornUploaded own work with UploadWizard

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