艺术风格图片的神经网络算法实验

有一篇很趣的论文《A Neural Algorithm of Artistic Style》。论文中提出了一种算法,可以将一张普通的图片,转换成具有某种艺术家的风格。

用语言来描述计算流程如下:

  1. 首先用一个给定参数的卷积神经网络(VGG网络),将原始的内容图片和风格图片进行函数映射,这个任务不需要网络后面的全连接层,只需要中间一些卷积层的输出即可,而且将网络中的max_pool改成了avg_pool。
  2. 可以利用这些中间输出,将其定义为内容输出和风格输出。内容输出是网络中较上层的映射结果,而风格输出是一些较低层映射的相关矩阵,用一个Gram矩阵计算表示。
  3. 将内容图片加噪音,这个将做为网络的输入,将网络的输出和内容输出进行对比,计算出内容损失函数(像素值取差值,再平方和),和风格输出进行对比,计算出风格损失函数,再整合两个损失形成总损失。
  4. 训练目标是总损失最小化,训练参数是第3步中的输入图片,这样得到一个图片,使内容和原来的内容图片相似,而风格和风格图片一致。

内容图片如下:

风格图片如下:

初始的输入是一个内容图片加噪音:

最后结果图片如下:

具体方法如下面代码所示:

加载包

In [1]:
import scipy.io
import numpy as np 
import os 
import scipy.misc 
import matplotlib.pyplot as plt 
import tensorflow as tf
%matplotlib inline  
print ("Packages loaded")
Packages loaded

定义网络结构

In [2]:
IMAGE_W = 800 
IMAGE_H = 600 
cwd  = os.getcwd()
# 内容图片文档
CONTENT_IMG = cwd + "/images/Taipei101.jpg"
# 风格图片文档
STYLE_IMG = cwd + "/images/StarryNight.jpg"
# 输出结果的目录和文档名
OUTOUT_DIR = './images'
OUTPUT_IMG = 'results.png'
# VGG模型文件
VGG_MODEL = cwd + "/data/imagenet-vgg-verydeep-19.mat"
INI_NOISE_RATIO = 0.7
STYLE_STRENGTH = 500
ITERATION = 5000

CONTENT_LAYERS =[('conv4_2',1.)]
STYLE_LAYERS=[('conv1_1',1.),('conv2_1',1.5),('conv3_1',2.),('conv4_1',2.5),('conv5_1',3.)]


MEAN_VALUES = np.array([123, 117, 104]).reshape((1,1,1,3))
In [3]:
# 定义前向计算函数,如果是conv层则计算卷积,如果是pool则进行池化
def build_net(ntype, nin, nwb=None):
  if ntype == 'conv':
    return tf.nn.relu(tf.nn.conv2d(nin, nwb[0], strides=[1, 1, 1, 1], padding='SAME')+ nwb[1])
  elif ntype == 'pool':
    return tf.nn.avg_pool(nin, ksize=[1, 2, 2, 1],
                  strides=[1, 2, 2, 1], padding='SAME')

# 从VGG模型中提取参数
def get_weight_bias(vgg_layers, i,):
  weights = vgg_layers[i][0][0][0][0][0]
  weights = tf.constant(weights)
  bias = vgg_layers[i][0][0][0][0][1]
  bias = tf.constant(np.reshape(bias, (bias.size)))
  return weights, bias

# 构建VGG模型网络结构,从现成的VGG模型文档中读取参数
# 以conv1_1层参数为例,长下面这个样子
# (<tf.Tensor 'Const_83:0' shape=(3, 3, 3, 64) dtype=float32>,
# <tf.Tensor 'Const_84:0' shape=(64,) dtype=float32>)
# conv1_1层输出长下面这个样子
# <tf.Tensor 'Relu_32:0' shape=(1, 600, 800, 64) dtype=float32>

def build_vgg19(path):
  net = {}
  vgg_rawnet = scipy.io.loadmat(path)
  vgg_layers = vgg_rawnet['layers'][0]
  net['input'] = tf.Variable(np.zeros((1, IMAGE_H, IMAGE_W, 3)).astype('float32'))
  net['conv1_1'] = build_net('conv',net['input'],get_weight_bias(vgg_layers,0))
  net['conv1_2'] = build_net('conv',net['conv1_1'],get_weight_bias(vgg_layers,2))
  net['pool1']   = build_net('pool',net['conv1_2'])
  net['conv2_1'] = build_net('conv',net['pool1'],get_weight_bias(vgg_layers,5))
  net['conv2_2'] = build_net('conv',net['conv2_1'],get_weight_bias(vgg_layers,7))
  net['pool2']   = build_net('pool',net['conv2_2'])
  net['conv3_1'] = build_net('conv',net['pool2'],get_weight_bias(vgg_layers,10))
  net['conv3_2'] = build_net('conv',net['conv3_1'],get_weight_bias(vgg_layers,12))
  net['conv3_3'] = build_net('conv',net['conv3_2'],get_weight_bias(vgg_layers,14))
  net['conv3_4'] = build_net('conv',net['conv3_3'],get_weight_bias(vgg_layers,16))
  net['pool3']   = build_net('pool',net['conv3_4'])
  net['conv4_1'] = build_net('conv',net['pool3'],get_weight_bias(vgg_layers,19))
  net['conv4_2'] = build_net('conv',net['conv4_1'],get_weight_bias(vgg_layers,21))
  net['conv4_3'] = build_net('conv',net['conv4_2'],get_weight_bias(vgg_layers,23))
  net['conv4_4'] = build_net('conv',net['conv4_3'],get_weight_bias(vgg_layers,25))
  net['pool4']   = build_net('pool',net['conv4_4'])
  net['conv5_1'] = build_net('conv',net['pool4'],get_weight_bias(vgg_layers,28))
  net['conv5_2'] = build_net('conv',net['conv5_1'],get_weight_bias(vgg_layers,30))
  net['conv5_3'] = build_net('conv',net['conv5_2'],get_weight_bias(vgg_layers,32))
  net['conv5_4'] = build_net('conv',net['conv5_3'],get_weight_bias(vgg_layers,34))
  net['pool5']   = build_net('pool',net['conv5_4'])
  return net

# 内容损失函数
def build_content_loss(p, x):
  M = p.shape[1]*p.shape[2]
  N = p.shape[3]
  loss = (1./(2* N**0.5 * M**0.5 )) * tf.reduce_sum(tf.pow((x - p),2))  
  return loss


def gram_matrix(x, area, depth):
  x1 = tf.reshape(x,(area,depth))
  g = tf.matmul(tf.transpose(x1), x1)
  return g

def gram_matrix_val(x, area, depth):
  x1 = x.reshape(area,depth)
  g = np.dot(x1.T, x1)
  return g

# 风格损失函数,A为风格标准图片,G为训练后的结果图片
def build_style_loss(a, x):
  M = a.shape[1]*a.shape[2]
  N = a.shape[3]
  A = gram_matrix_val(a, M, N )
  G = gram_matrix(x, M, N )
  loss = (1./(4 * N**2 * M**2)) * tf.reduce_sum(tf.pow((G - A),2))
  return loss


# 读取图片函数,同时做白化
def read_image(path):
  image = scipy.misc.imread(path)
  image = image[np.newaxis,:IMAGE_H,:IMAGE_W,:] 
  image = image - MEAN_VALUES
  return image

# 写图片函数
def write_image(path, image):
  image = image + MEAN_VALUES
  image = image[0]
  image = np.clip(image, 0, 255).astype('uint8')
  scipy.misc.imsave(path, image)

定义主函数

In [18]:
def main():
  net = build_vgg19(VGG_MODEL)
  sess = tf.Session()
  sess.run(tf.initialize_all_variables())
# 建立一个纯噪音图片做为训练参数,使内容符合内容图片,而风格符合风格图片
  noise_img = np.random.uniform(-20, 20, (1, IMAGE_H, IMAGE_W, 3)).astype('float32')
  content_img = read_image(CONTENT_IMG)
  style_img = read_image(STYLE_IMG)
# 将内容图片输入到VGG网络中,取出conv4_2层输出结果,计算内容损失
  sess.run([net['input'].assign(content_img)])
  cost_content = sum(map(lambda l,: l[1]*build_content_loss(sess.run(net[l[0]]) ,  net[l[0]])
    , CONTENT_LAYERS))
# 将风格图片输入到VGG网络中,取出conv1_1-conv5_1五个层的输出结果,计算风格损失
  sess.run([net['input'].assign(style_img)])
  cost_style = sum(map(lambda l: l[1]*build_style_loss(sess.run(net[l[0]]) ,  net[l[0]])
    , STYLE_LAYERS))
# 加总两种损失做为最小化训练目标,用cost_style做为调整系数
  cost_total = cost_content + STYLE_STRENGTH * cost_style
  optimizer = tf.train.AdamOptimizer(2.0)

  train = optimizer.minimize(cost_total)
  sess.run(tf.initialize_all_variables())
# 把内容图片加噪音后,做为VGG网络输入层,算法将学习去调整这个输入层,来使得训练目标最小
  sess.run(net['input'].assign( INI_NOISE_RATIO* noise_img + (1.-INI_NOISE_RATIO) * content_img))

  if not os.path.exists(OUTOUT_DIR):
      os.mkdir(OUTOUT_DIR)

  for i in range(500):
    sess.run(train)
    print i
    if i%100 ==0:
      result_img = sess.run(net['input'])
      print sess.run(cost_total)
      write_image(os.path.join(OUTOUT_DIR,'%s.png'%(str(i).zfill(4))),result_img)
  
  write_image(os.path.join(OUTOUT_DIR,OUTPUT_IMG),result_img)
In [ ]:
main()
In [ ]:

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