.. _sec_fcn: 全卷积网络 ========== 如 :numref:`sec_semantic_segmentation`\ 中所介绍的那样,语义分割是对图像中的每个像素分类。 *全卷积网络*\ (fully convolutional network,FCN)采用卷积神经网络实现了从图像像素到像素类别的变换 :cite:`Long.Shelhamer.Darrell.2015`\ 。 与我们之前在图像分类或目标检测部分介绍的卷积神经网络不同,全卷积网络将中间层特征图的高和宽变换回输入图像的尺寸:这是通过在 :numref:`sec_transposed_conv`\ 中引入的\ *转置卷积*\ (transposed convolution)实现的。 因此,输出的类别预测与输入图像在像素级别上具有一一对应关系:通道维的输出即该位置对应像素的类别预测。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python %matplotlib inline import os import mindcv import mindspore from mindspore import nn, ops from mindspore.ops import functional as F from d2l import mindspore as d2l .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python %matplotlib inline import os import numpy as np import torch import torchvision import torchvision.transforms.functional as TF from PIL import Image from torch import nn from torch.nn import functional as F from d2l import torch as d2l .. raw:: html
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构造模型 -------- 下面我们了解一下全卷积网络模型最基本的设计。 如 :numref:`fig_fcn`\ 所示,全卷积网络先使用卷积神经网络抽取图像特征,然后通过\ :math:`1\times 1`\ 卷积层将通道数变换为类别个数,最后在 :numref:`sec_transposed_conv`\ 中通过转置卷积层将特征图的高和宽变换为输入图像的尺寸。 因此,模型输出与输入图像的高和宽相同,且最终输出通道包含了该空间位置像素的类别预测。 .. _fig_fcn: .. figure:: ../img/fcn.svg 全卷积网络 下面,我们使用在ImageNet数据集上预训练的ResNet-18模型来提取图像特征,并将该网络记为\ ``pretrained_net``\ 。 ResNet-18模型的最后几层包括全局平均汇聚层和全连接层,然而全卷积网络中不需要它们。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python pretrained_net = mindcv.create_model('resnet18', pretrained=True) list(pretrained_net.cells())[-3:] .. raw:: latex \diilbookstyleoutputcell .. parsed-literal:: :class: output [SequentialCell( (0): BasicBlock( (conv1): Conv2d(input_channels=256, output_channels=512, kernel_size=(3, 3), stride=(2, 2), pad_mode=pad, padding=1, dilation=(1, 1), group=1, has_bias=False, weight_init=, bias_init=None, format=NCHW) (bn1): BatchNorm2d(num_features=512, eps=1e-05, momentum=0.9, gamma=Parameter (name=layer4.0.bn1.gamma, shape=(512,), dtype=Float32, requires_grad=True), beta=Parameter (name=layer4.0.bn1.beta, shape=(512,), dtype=Float32, requires_grad=True), moving_mean=Parameter (name=layer4.0.bn1.moving_mean, shape=(512,), dtype=Float32, requires_grad=False), moving_variance=Parameter (name=layer4.0.bn1.moving_variance, shape=(512,), dtype=Float32, requires_grad=False)) (relu): ReLU() (conv2): Conv2d(input_channels=512, output_channels=512, kernel_size=(3, 3), stride=(1, 1), pad_mode=pad, padding=1, dilation=(1, 1), group=1, has_bias=False, weight_init=, bias_init=None, format=NCHW) (bn2): BatchNorm2d(num_features=512, eps=1e-05, momentum=0.9, gamma=Parameter (name=layer4.0.bn2.gamma, shape=(512,), dtype=Float32, requires_grad=True), beta=Parameter (name=layer4.0.bn2.beta, shape=(512,), dtype=Float32, requires_grad=True), moving_mean=Parameter (name=layer4.0.bn2.moving_mean, shape=(512,), dtype=Float32, requires_grad=False), moving_variance=Parameter (name=layer4.0.bn2.moving_variance, shape=(512,), dtype=Float32, requires_grad=False)) (down_sample): SequentialCell( (0): Conv2d(input_channels=256, output_channels=512, kernel_size=(1, 1), stride=(2, 2), pad_mode=same, padding=0, dilation=(1, 1), group=1, has_bias=False, weight_init=, bias_init=None, format=NCHW) (1): BatchNorm2d(num_features=512, eps=1e-05, momentum=0.9, gamma=Parameter (name=layer4.0.down_sample.1.gamma, shape=(512,), dtype=Float32, requires_grad=True), beta=Parameter (name=layer4.0.down_sample.1.beta, shape=(512,), dtype=Float32, requires_grad=True), moving_mean=Parameter (name=layer4.0.down_sample.1.moving_mean, shape=(512,), dtype=Float32, requires_grad=False), moving_variance=Parameter (name=layer4.0.down_sample.1.moving_variance, shape=(512,), dtype=Float32, requires_grad=False)) ) ) (1): BasicBlock( (conv1): Conv2d(input_channels=512, output_channels=512, kernel_size=(3, 3), stride=(1, 1), pad_mode=pad, padding=1, dilation=(1, 1), group=1, has_bias=False, weight_init=, bias_init=None, format=NCHW) (bn1): BatchNorm2d(num_features=512, eps=1e-05, momentum=0.9, gamma=Parameter (name=layer4.1.bn1.gamma, shape=(512,), dtype=Float32, requires_grad=True), beta=Parameter (name=layer4.1.bn1.beta, shape=(512,), dtype=Float32, requires_grad=True), moving_mean=Parameter (name=layer4.1.bn1.moving_mean, shape=(512,), dtype=Float32, requires_grad=False), moving_variance=Parameter (name=layer4.1.bn1.moving_variance, shape=(512,), dtype=Float32, requires_grad=False)) (relu): ReLU() (conv2): Conv2d(input_channels=512, output_channels=512, kernel_size=(3, 3), stride=(1, 1), pad_mode=pad, padding=1, dilation=(1, 1), group=1, has_bias=False, weight_init=, bias_init=None, format=NCHW) (bn2): BatchNorm2d(num_features=512, eps=1e-05, momentum=0.9, gamma=Parameter (name=layer4.1.bn2.gamma, shape=(512,), dtype=Float32, requires_grad=True), beta=Parameter (name=layer4.1.bn2.beta, shape=(512,), dtype=Float32, requires_grad=True), moving_mean=Parameter (name=layer4.1.bn2.moving_mean, shape=(512,), dtype=Float32, requires_grad=False), moving_variance=Parameter (name=layer4.1.bn2.moving_variance, shape=(512,), dtype=Float32, requires_grad=False)) ) ), GlobalAvgPooling(), Dense(input_channels=512, output_channels=1000, has_bias=True)] .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python pretrained_net = torchvision.models.resnet18(pretrained=True) list(pretrained_net.children())[-3:] .. raw:: latex \diilbookstyleoutputcell .. parsed-literal:: :class: output [Sequential( (0): BasicBlock( (conv1): Conv2d(256, 512, kernel_size=(3, 3), stride=(2, 2), padding=(1, 1), bias=False) (bn1): BatchNorm2d(512, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True) (relu): ReLU(inplace=True) (conv2): Conv2d(512, 512, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False) (bn2): BatchNorm2d(512, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True) (downsample): Sequential( (0): Conv2d(256, 512, kernel_size=(1, 1), stride=(2, 2), bias=False) (1): BatchNorm2d(512, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True) ) ) (1): BasicBlock( (conv1): Conv2d(512, 512, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False) (bn1): BatchNorm2d(512, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True) (relu): ReLU(inplace=True) (conv2): Conv2d(512, 512, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False) (bn2): BatchNorm2d(512, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True) ) ), AdaptiveAvgPool2d(output_size=(1, 1)), Linear(in_features=512, out_features=1000, bias=True)] .. raw:: html
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接下来,我们创建一个全卷积网络\ ``net``\ 。 它复制了ResNet-18中大部分的预训练层,除了最后的全局平均汇聚层和最接近输出的全连接层。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python net = nn.SequentialCell(*list(pretrained_net.cells())[:-2]) .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python net = nn.Sequential(*list(pretrained_net.children())[:-2]) .. raw:: html
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给定高度为320和宽度为480的输入,\ ``net``\ 的前向传播将输入的高和宽减小至原来的\ :math:`1/32`\ ,即10和15。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python X = ops.rand((1, 3, 320, 480)) net(X).shape .. raw:: latex \diilbookstyleoutputcell .. parsed-literal:: :class: output (1, 512, 10, 15) .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python X = torch.rand(size=(1, 3, 320, 480)) net(X).shape .. raw:: latex \diilbookstyleoutputcell .. parsed-literal:: :class: output torch.Size([1, 512, 10, 15]) .. raw:: html
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接下来使用\ :math:`1\times1`\ 卷积层将输出通道数转换为Pascal VOC2012数据集的类数(21类)。 最后需要将特征图的高度和宽度增加32倍,从而将其变回输入图像的高和宽。 回想一下 :numref:`sec_padding`\ 中卷积层输出形状的计算方法: 由于\ :math:`(320-64+16\times2+32)/32=10`\ 且\ :math:`(480-64+16\times2+32)/32=15`\ ,我们构造一个步幅为\ :math:`32`\ 的转置卷积层,并将卷积核的高和宽设为\ :math:`64`\ ,填充为\ :math:`16`\ 。 我们可以看到如果步幅为\ :math:`s`\ ,填充为\ :math:`s/2`\ (假设\ :math:`s/2`\ 是整数)且卷积核的高和宽为\ :math:`2s`\ ,转置卷积核会将输入的高和宽分别放大\ :math:`s`\ 倍。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python num_classes = 21 net = nn.SequentialCell(*list(pretrained_net.cells())[:-2], nn.Conv2d(512, num_classes, kernel_size=1), nn.Conv2dTranspose(num_classes, num_classes, kernel_size=64, padding=16, stride=32, pad_mode='pad') ) .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python num_classes = 21 net.add_module('final_conv', nn.Conv2d(512, num_classes, kernel_size=1)) net.add_module('transpose_conv', nn.ConvTranspose2d(num_classes, num_classes, kernel_size=64, padding=16, stride=32)) .. raw:: html
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初始化转置卷积层 ---------------- 在图像处理中,我们有时需要将图像放大,即\ *上采样*\ (upsampling)。 *双线性插值*\ (bilinear interpolation) 是常用的上采样方法之一,它也经常用于初始化转置卷积层。 为了解释双线性插值,假设给定输入图像,我们想要计算上采样输出图像上的每个像素。 1. 将输出图像的坐标\ :math:`(x,y)`\ 映射到输入图像的坐标\ :math:`(x',y')`\ 上。 例如,根据输入与输出的尺寸之比来映射。 请注意,映射后的\ :math:`x′`\ 和\ :math:`y′`\ 是实数。 2. 在输入图像上找到离坐标\ :math:`(x',y')`\ 最近的4个像素。 3. 输出图像在坐标\ :math:`(x,y)`\ 上的像素依据输入图像上这4个像素及其与\ :math:`(x',y')`\ 的相对距离来计算。 双线性插值的上采样可以通过转置卷积层实现,内核由以下\ ``bilinear_kernel``\ 函数构造。 限于篇幅,我们只给出\ ``bilinear_kernel``\ 函数的实现,不讨论算法的原理。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python def bilinear_kernel(in_channels, out_channels, kernel_size): factor = (kernel_size + 1) // 2 if kernel_size % 2 == 1: center = factor - 1 else: center = factor - 0.5 og = (ops.arange(kernel_size).reshape(-1, 1), ops.arange(kernel_size).reshape(1, -1)) filt = (1 - ops.abs(og[0] - center) / factor) * \ (1 - ops.abs(og[1] - center) / factor) weight = ops.zeros((in_channels, out_channels, kernel_size, kernel_size)) weight[list(range(in_channels)), list(range(out_channels)), :, :] = filt return weight .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python def bilinear_kernel(in_channels, out_channels, kernel_size): factor = (kernel_size + 1) // 2 if kernel_size % 2 == 1: center = factor - 1 else: center = factor - 0.5 og = (torch.arange(kernel_size).reshape(-1, 1), torch.arange(kernel_size).reshape(1, -1)) filt = (1 - torch.abs(og[0] - center) / factor) * \ (1 - torch.abs(og[1] - center) / factor) weight = torch.zeros((in_channels, out_channels, kernel_size, kernel_size)) weight[range(in_channels), range(out_channels), :, :] = filt return weight .. raw:: html
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让我们用双线性插值的上采样实验它由转置卷积层实现。 我们构造一个将输入的高和宽放大2倍的转置卷积层,并将其卷积核用\ ``bilinear_kernel``\ 函数初始化。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python conv_trans = nn.Conv2dTranspose(3, 3, kernel_size=4, padding=1, stride=2, pad_mode='pad', has_bias=False) conv_trans.weight.set_data(bilinear_kernel(3, 3, 4)); .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python conv_trans = nn.ConvTranspose2d(3, 3, kernel_size=4, padding=1, stride=2, bias=False) conv_trans.weight.data.copy_(bilinear_kernel(3, 3, 4)); .. raw:: html
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读取图像\ ``X``\ ,将上采样的结果记作\ ``Y``\ 。为了打印图像,我们需要调整通道维的位置。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python img = mindspore.dataset.vision.ToTensor()(d2l.Image.open('../img/catdog.jpg')) img = mindspore.Tensor(img) X = img.unsqueeze(0) Y = conv_trans(X) out_img = Y[0].permute(1, 2, 0) .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python img = torchvision.transforms.ToTensor()(d2l.Image.open('../img/catdog.jpg')) X = img.unsqueeze(0) Y = conv_trans(X) out_img = Y[0].permute(1, 2, 0).detach() .. raw:: html
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可以看到,转置卷积层将图像的高和宽分别放大了2倍。 除了坐标刻度不同,双线性插值放大的图像和在 :numref:`sec_bbox`\ 中打印出的原图看上去没什么两样。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python d2l.set_figsize() print('input image shape:', img.permute(1, 2, 0).shape) d2l.plt.imshow(img.permute(1, 2, 0).numpy()); print('output image shape:', out_img.shape) d2l.plt.imshow(out_img.numpy()); .. raw:: latex \diilbookstyleoutputcell .. parsed-literal:: :class: output input image shape: (561, 728, 3) output image shape: (1122, 1456, 3) .. figure:: output_fcn_ce3435_75_1.svg .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python d2l.set_figsize() print('input image shape:', img.permute(1, 2, 0).shape) d2l.plt.imshow(img.permute(1, 2, 0)); print('output image shape:', out_img.shape) d2l.plt.imshow(out_img); .. raw:: latex \diilbookstyleoutputcell .. parsed-literal:: :class: output input image shape: torch.Size([561, 728, 3]) output image shape: torch.Size([1122, 1456, 3]) .. figure:: output_fcn_ce3435_78_1.svg .. raw:: html
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全卷积网络用双线性插值的上采样初始化转置卷积层。对于\ :math:`1\times 1`\ 卷积层,我们使用Xavier初始化参数。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python W = bilinear_kernel(num_classes, num_classes, 64) net[-1].weight.set_data(W); .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python W = bilinear_kernel(num_classes, num_classes, 64) net.transpose_conv.weight.data.copy_(W); .. raw:: html
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读取数据集 ---------- 我们用 :numref:`sec_semantic_segmentation`\ 中介绍的语义分割读取数据集。 指定随机裁剪的输出图像的形状为\ :math:`320\times 480`\ :高和宽都可以被\ :math:`32`\ 整除。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python batch_size, crop_size = 32, (320, 480) train_iter, test_iter = d2l.load_data_voc(batch_size, crop_size) .. raw:: latex \diilbookstyleoutputcell .. parsed-literal:: :class: output read 1114 examples read 1078 examples .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python batch_size, crop_size = 32, (320, 480) train_iter, test_iter = d2l.load_data_voc(batch_size, crop_size) .. raw:: latex \diilbookstyleoutputcell .. parsed-literal:: :class: output read 1114 examples read 1078 examples .. raw:: html
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训练 ---- 现在我们可以训练全卷积网络了。 这里的损失函数和准确率计算与图像分类中的并没有本质上的不同,因为我们使用转置卷积层的通道来预测像素的类别,所以需要在损失计算中指定通道维。 此外,模型基于每个像素的预测类别是否正确来计算准确率。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python def loss(inputs, targets): return F.cross_entropy(inputs, targets, reduction='none').mean(1).mean(1) num_epochs, lr, wd = 5, 0.002, 1e-3 trainer = nn.SGD(net.trainable_params(), learning_rate=lr, weight_decay=wd) d2l.train_ch13(net, train_iter, test_iter, loss, trainer, num_epochs) .. raw:: latex \diilbookstyleoutputcell .. parsed-literal:: :class: output loss 0.344, train acc 0.888, test acc 0.856 276.4 examples/sec on GPU .. figure:: output_fcn_ce3435_102_1.svg .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python def loss(inputs, targets): return F.cross_entropy(inputs, targets, reduction='none').mean(1).mean(1) num_epochs, lr, wd, devices = 5, 0.002, 1e-3, d2l.try_all_gpus() trainer = torch.optim.SGD(net.parameters(), lr=lr, weight_decay=wd) d2l.train_ch13(net, train_iter, test_iter, loss, trainer, num_epochs, devices) .. raw:: latex \diilbookstyleoutputcell .. parsed-literal:: :class: output loss 0.357, train acc 0.883, test acc 0.854 479.1 examples/sec on [device(type='cuda', index=0)] .. figure:: output_fcn_ce3435_105_1.svg .. raw:: html
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预测 ---- 在预测时,我们需要将输入图像在各个通道做标准化,并转成卷积神经网络所需要的四维输入格式。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python transform = mindspore.dataset.vision.Normalize( mean=[0.485, 0.456, 0.406], std=[0.229, 0.224, 0.225]) def normalize_image(img): return transform(img.astype('float32') / 255) def predict(img): X = mindspore.Tensor(normalize_image(img).transpose(2, 0, 1)).unsqueeze(0) pred = net(X).argmax(axis=1) return pred.reshape(pred.shape[1], pred.shape[2]) .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python transform = torchvision.transforms.Normalize( mean=[0.485, 0.456, 0.406], std=[0.229, 0.224, 0.225]) def normalize_image(img): img = torch.tensor(img, dtype=torch.float32).permute(2, 0, 1) / 255.0 return transform(img) def predict(img): X = normalize_image(img).unsqueeze(0) net.eval() with torch.no_grad(): pred = net(X.to(devices[0])).argmax(dim=1) return pred.reshape(pred.shape[1], pred.shape[2]).cpu() .. raw:: html
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为了可视化预测的类别给每个像素,我们将预测类别映射回它们在数据集中的标注颜色。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python colormap = mindspore.Tensor(d2l.VOC_COLORMAP) def label2image(pred): X = pred.long() return colormap[X, :] .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python colormap = torch.tensor(d2l.VOC_COLORMAP, dtype=torch.uint8) def label2image(pred): X = pred.long().cpu() return colormap[X, :] .. raw:: html
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测试数据集中的图像大小和形状各异。 由于模型使用了步幅为32的转置卷积层,因此当输入图像的高或宽无法被32整除时,转置卷积层输出的高或宽会与输入图像的尺寸有偏差。 为了解决这个问题,我们可以在图像中截取多块高和宽为32的整数倍的矩形区域,并分别对这些区域中的像素做前向传播。 请注意,这些区域的并集需要完整覆盖输入图像。 当一个像素被多个区域所覆盖时,它在不同区域前向传播中转置卷积层输出的平均值可以作为\ ``softmax``\ 运算的输入,从而预测类别。 为简单起见,我们只读取几张较大的测试图像,并从图像的左上角开始截取形状为\ :math:`320\times480`\ 的区域用于预测。 对于这些测试图像,我们逐一打印它们截取的区域,再打印预测结果,最后打印标注的类别。 .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python voc_dir = d2l.download_extract('voc2012', 'VOCdevkit/VOC2012') test_images, test_labels = d2l.read_voc_images(voc_dir, False) n, imgs = 4, [] for i in range(n): crop_rect = (0, 0, 320, 480) # 加载图像 img = mindspore.dataset.vision.read_image(os.path.join( voc_dir, 'JPEGImages', f'{test_images[i]}.jpg')) label = mindspore.dataset.vision.read_image(os.path.join( voc_dir, 'SegmentationClass', f'{test_labels[i]}.png')) X = d2l.crop(img, *crop_rect) pred = label2image(predict(X)) imgs += [X, pred.numpy(), d2l.crop(label, *crop_rect)] d2l.show_images(imgs[::3] + imgs[1::3] + imgs[2::3], 3, n, scale=2); .. figure:: output_fcn_ce3435_129_0.svg .. raw:: html
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.. raw:: latex \diilbookstyleinputcell .. code:: python voc_dir = d2l.download_extract('voc2012', 'VOCdevkit/VOC2012') test_images, test_labels = d2l.read_voc_images(voc_dir, False) n, imgs = 4, [] for i in range(n): crop_rect = (0, 0, 320, 480) img = np.array(Image.open(os.path.join( voc_dir, 'JPEGImages', f'{test_images[i]}.jpg')).convert('RGB')) label_rgb_raw = np.array(Image.open(os.path.join( voc_dir, 'SegmentationClass', f'{test_labels[i]}.png')).convert('RGB')) X = img[crop_rect[0]:crop_rect[0]+crop_rect[2], crop_rect[1]:crop_rect[1]+crop_rect[3], :] pred_np = label2image(predict(X)).numpy() img_show = X label_crop = label_rgb_raw[crop_rect[0]:crop_rect[0]+crop_rect[2], crop_rect[1]:crop_rect[1]+crop_rect[3]] imgs += [img_show, pred_np, label_crop] d2l.show_images(imgs[::3] + imgs[1::3] + imgs[2::3], 3, n, scale=2); .. figure:: output_fcn_ce3435_132_0.svg .. raw:: html
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小结 ---- - 全卷积网络先使用卷积神经网络抽取图像特征,然后通过\ :math:`1\times 1`\ 卷积层将通道数变换为类别个数,最后通过转置卷积层将特征图的高和宽变换为输入图像的尺寸。 - 在全卷积网络中,我们可以将转置卷积层初始化为双线性插值的上采样。 练习 ---- 1. 如果将转置卷积层改用Xavier随机初始化,结果有什么变化? 2. 调节超参数,能进一步提升模型的精度吗? 3. 预测测试图像中所有像素的类别。 4. 最初的全卷积网络的论文中 :cite:`Long.Shelhamer.Darrell.2015`\ 还使用了某些卷积神经网络中间层的输出。试着实现这个想法。 .. raw:: html
mindsporepytorch
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