python perlin noise
python 利用 noise 生成纹理。
# -*- coding: utf-8 -*-
"""
Created on Mon Apr 23 20:04:41 2018
@author: shiyi
"""
import random, math
import cv2
import numpy as np
"""
Texture generation using Perlin noise
"""
class NoiseUtils:
def __init__(self, imageSize):
self.imageSize = imageSize
self.gradientNumber = 256
self.grid = [[]]
self.gradients = []
self.permutations = []
self.img = {}
self.__generateGradientVectors()
self.__normalizeGradientVectors()
self.__generatePermutationsTable()
def __generateGradientVectors(self):
for i in range(self.gradientNumber):
while True:
x, y = random.uniform(-1, 1), random.uniform(-1, 1)
if x * x + y * y < 1:
self.gradients.append([x, y])
break
def __normalizeGradientVectors(self):
for i in range(self.gradientNumber):
x, y = self.gradients[i][0], self.gradients[i][1]
length = math.sqrt(x * x + y * y)
self.gradients[i] = [x / length, y / length]
# The modern version of the Fisher-Yates shuffle
def __generatePermutationsTable(self):
self.permutations = [i for i in range(self.gradientNumber)]
for i in reversed(range(self.gradientNumber)):
j = random.randint(0, i)
self.permutations[i], self.permutations[j] = \
self.permutations[j], self.permutations[i]
def getGradientIndex(self, x, y):
return self.permutations[(x + self.permutations[y % self.gradientNumber]) % self.gradientNumber]
def perlinNoise(self, x, y):
qx0 = int(math.floor(x))
qx1 = qx0 + 1
qy0 = int(math.floor(y))
qy1 = qy0 + 1
q00 = self.getGradientIndex(qx0, qy0)
q01 = self.getGradientIndex(qx1, qy0)
q10 = self.getGradientIndex(qx0, qy1)
q11 = self.getGradientIndex(qx1, qy1)
tx0 = x - math.floor(x)
tx1 = tx0 - 1
ty0 = y - math.floor(y)
ty1 = ty0 - 1
v00 = self.gradients[q00][0] * tx0 + self.gradients[q00][1] * ty0
v01 = self.gradients[q01][0] * tx1 + self.gradients[q01][1] * ty0
v10 = self.gradients[q10][0] * tx0 + self.gradients[q10][1] * ty1
v11 = self.gradients[q11][0] * tx1 + self.gradients[q11][1] * ty1
wx = tx0 * tx0 * (3 - 2 * tx0)
v0 = v00 + wx * (v01 - v00)
v1 = v10 + wx * (v11 - v10)
wy = ty0 * ty0 * (3 - 2 * ty0)
return (v0 + wy * (v1 - v0)) * 0.5 + 1
def makeTexture(self, texture = None):
if texture is None:
texture = self.cloud
noise = {}
max = min = None
for i in range(self.imageSize):
for j in range(self.imageSize):
value = texture(i, j)
noise[i, j] = value
if max is None or max < value:
max = value
if min is None or min > value:
min = value
for i in range(self.imageSize):
for j in range(self.imageSize):
self.img[i, j] = (int) ((noise[i, j] - min) / (max - min) * 255 )
def fractalBrownianMotion(self, x, y, func):
octaves = 12
amplitude = 1.0
frequency = 1.0 / self.imageSize
persistence = 0.5
value = 0.0
for k in range(octaves):
value += func(x * frequency, y * frequency) * amplitude
frequency *= 2
amplitude *= persistence
return value
def cloud(self, x, y, func = None):
if func is None:
func = self.perlinNoise
return self.fractalBrownianMotion(8 * x, 8 * y, func)
def wood(self, x, y, noise = None):
if noise is None:
noise = self.perlinNoise
frequency = 1.0 / self.imageSize
n = noise(4 * x * frequency, 4 * y * frequency) * 10
return n - int(n)
def marble(self, x, y, noise = None):
if noise is None:
noise = self.perlinNoise
frequency = 1.0 / self.imageSize
n = self.fractalBrownianMotion(8 * x, 8 * y, self.perlinNoise)
return (math.sin(16 * x * frequency + 4 * (n - 0.5)) + 1) * 0.5
if __name__ == "__main__":
imageSize = 512
noise = NoiseUtils(imageSize)
noise.makeTexture(texture = noise.cloud)
img = np.zeros((512, 512))
pixels = img.copy()
for i in range(0, imageSize):
for j in range(0, imageSize):
c = noise.img[i, j]
pixels[i, j] = c
pixels = pixels.astype('uint8')
cv2.imwrite('Noise.png', pixels)
# cv2.imshow("Noise", pixels)
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