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@adefossez
Last active August 25, 2023 19:13
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Perlin noise.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Perlin noise.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyPkuy72DmS1/ek3Mfomqi8l",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/adefossez/0646dbe9ed4005480a2407c62aac8869/perlin-noise.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "xI_xE4bBMgwN",
"outputId": "107ae925-7ea1-4e10-a89e-d66ea9193c09",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 716
}
},
"source": [
"import torch as th\n",
"from matplotlib import pyplot as plt\n",
"\n",
"def interp(t):\n",
" return 3 * t**2 - 2 * t ** 3\n",
"\n",
"def perlin(width, height, scale=10, device=None):\n",
" gx, gy = th.randn(2, width + 1, height + 1, 1, 1, device=device)\n",
" xs = th.linspace(0, 1, scale + 1)[:-1, None].to(device)\n",
" ys = th.linspace(0, 1, scale + 1)[None, :-1].to(device)\n",
"\n",
"\n",
" wx = 1 - interp(xs)\n",
" wy = 1 - interp(ys)\n",
"\n",
" dots = 0\n",
" dots += wx * wy * (gx[:-1, :-1] * xs + gy[:-1, :-1] * ys)\n",
" dots += (1 - wx) * wy * (-gx[1:, :-1] * (1 - xs) + gy[1:, :-1] * ys)\n",
" dots += wx * (1 - wy) * (gx[:-1, 1:] * xs - gy[:-1, 1:] * (1 - ys))\n",
" dots += (1 - wx) * (1 - wy) * (-gx[1:, 1:] * (1 - xs) - gy[1:, 1:] * (1 - ys))\n",
"\n",
" return dots.permute(0, 2, 1, 3).contiguous().view(width * scale, height * scale)\n",
"\n",
"def perlin_ms(octaves=[1, 1, 1, 1], width=2, height=2, device=None):\n",
" scale = 2 ** len(octaves)\n",
" out = 0\n",
" for oct in octaves:\n",
" p = perlin(width, height, scale, device)\n",
" out += p * oct\n",
" scale //= 2\n",
" width *= 2\n",
" height *= 2\n",
" return out\n",
"\n",
"\n",
"plt.figure(figsize=(12,12))\n",
"for idx, rho in enumerate([1, 2, 4, 8]):\n",
" plt.subplot(2, 2, idx + 1)\n",
" out = perlin_ms([rho**-i for i in range(4)], 6, 6).cpu().numpy()\n",
" plt.imshow(out)\n",
" plt.title(f\"Decay for finer grids as {rho} ** -scale\")"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 864x864 with 4 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "TpBD7GBjMs9j"
},
"source": [
""
],
"execution_count": null,
"outputs": []
}
]
}
@NathalieBrun
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Hello
I tried the code but got the following error message :
Thanks a lot

TypeError Traceback (most recent call last)
in
2 for idx, rho in enumerate([1, 2, 4, 8]):
3 plt.subplot(2, 2, idx + 1)
----> 4 out = perlin_ms([rho**-i for i in range(4)], 6, 6).cpu().numpy()
5 plt.imshow(out)
6 plt.title(f"Decay for finer grids as {rho} ** -scale")

in perlin_ms(octaves, width, height, device)
27 for oct in octaves:
28 p = perlin(width, height, scale, device)
---> 29 out += p * oct
30 scale //= 2
31 width *= 2

TypeError: unsupported operand type(s) for +=: 'int' and 'tuple'

@adefossez
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Author

@NathalieBrun, sorry about that, it's fixed now!

@Nikronic
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Hi, Thank you for the nice implementation.

Just a tiny issue is that based on http://staffwww.itn.liu.se/~stegu/simplexnoise/simplexnoise.pdf - page 2, 6t^5 - 15t^4 + 10t^3 interpolation is preferred.

@thisFunct10n
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Hi there!

Is there a chance that this code only runs on 1:1 ratios?
Would there be a solution or could you guide me on making it useful for other ratios?

Thank you!

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