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FCS | 前沿研究:人脸掩膜引导的多样化人脸图像合成 |
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论文标题:Mask guided diverse face image synthesis(人脸掩膜引导的多样化人脸图像合成)
期刊:Frontiers of Computer Science
作者:Song SUN, Bo ZHAO, Muhammad MATEEN, Xin CHEN, Junhao WEN
发表时间:15 Jun 2022
DOI:10.1007/s11704-020-0400-7
微信链接:点击此处阅读微信文章
原文信息
标 题:
Mask guided diverse face image synthesis
发表年份:
2022年
原文链接:
https://journal.hep.com.cn/fcs/EN/10.1007/s11704-020-0400-7
引用格式:
Song SUN, Bo ZHAO, Muhammad MATEEN, Xin CHEN, Junhao WEN. Mask guided diverse face image synthesis. Front. Comput. Sci., 2022, 16(3): 163311
公众号推文链接:
人脸掩膜引导的多样化人脸图像合成
01导读
最近,条件生成对抗网络在根据不同类型的输入(如属性、文本描述、图像和语义分割)生成图像方面取得了显著进展。人脸图像生成作为其中一个特定的任务,在照片编辑、电影、游戏等方面具有很大的应用价值,因此引发了研究人员的广泛关注。
对于人脸图像生成任务来说,保真度是最重要的考量因素。因此,一些最近的工作如BigGAN、StyleGAN等通过设计更深的神经网络结构,改善了人脸图像生成的保真度,取得了较好的视觉效果。然而,它们本质上都属于无条件的图像生成任务,使用了随机噪声作为输入,因此在人脸图像生成过程中缺乏可控性,无法精确控制生成人脸的外观。试想如果我们可以首先通过选择脸型或眼睛的大小来指定人脸,然后再生成它,那岂不是更好?
为了改善人脸图像生成的可控性,使用人脸掩膜成为了一种可能的解决方案。如图1所示,人脸掩膜为人脸图像分割后的结果。它通过指定人脸中不同部位(如眼睛、鼻子和嘴巴)的大小和位置,为人脸提供了很好的几何约束。它还定义了脸部的视角,即正面或侧面。这些信息对于一个生成模型生成逼真的人脸图像是非常有用的。
![](//m.vanbien.com/upload/paper/images/2022/11/20221114917234940.png)
图1 掩膜引导下的多样化人脸图像合成示例
除了保真度和可控性以外,多样性是人脸图像生成中的另一个重要的考量因素。如果一个模型能基于同一个人脸掩膜生成多个不同的人脸图像,那是非常理想的。尽管目前基于掩膜引导的人脸图像生成已经有一些初步的工作,但是它们的效果仍显不足,特别是在多样性方面仍有较大的改进空间。
为了解决以上问题,本文提出了一个新颖的端到端学习框架,实现了在掩膜引导下生成多样化的、逼真的和可控的人脸图像。受StyleGAN在使用风格码(style code)调整图像生成风格的启发,本文提出了将风格码和人脸掩膜集成到生成器中。不同于以往直接将隐码(latent code)作为网络的输入,本文首先将隐码转换为编码人脸高层次风格的风格码,它提供了人脸图像的外观信息,如肤色、发型和年龄。然后,本文采用自适应实例归一化(Adaptive Instance Normalization,AdaIN)技术将风格码注入到生成器中。为了进一步地驱使模型使用风格码,本文设计了一个风格解码器从生成的图像中重建风格码。最后,本文施加了一个多样性损失函数使得模型学习去生成视觉上不同的人脸图像。
02 模型细节
![](//m.vanbien.com/upload/paper/images/2022/11/20221114917499620.png)
图2 本文提出的模型框架示意图
令
表示人脸掩膜域,
表示真实的人脸域。给定一个人脸掩膜
,本文的目标旨在训练一个生成器
能够生成多样化的人脸图像
,如图1所示。图2展示了本文提出的模型框架,共有四部分组成,下面分别展开描述。
风格编码器(Style encoder)
给定一个随机的隐码
,风格编码器
将其编码为表示目标人脸图像的视觉风格的风格码
。具体来说,如表A1所示,风格编码器
是一个由多个全连接层组成的多层感知机(MLP),将一个隐码
转化为可学习的风格空间中的一个向量
。通过从先验的分布中采样隐码,风格编码器
可以生成多样化的风格码。
![](//m.vanbien.com/upload/paper/images/2022/11/20221114921234310.png)
生成器(Generator)
生成器
将一个输入的人脸掩膜
转化为一个输出的人脸图像
,其中
表示风格编码器
学习到的风格码。具体来说,如表A2所示,生成器有三个子模块:编码器、残差块和解码器。编码器由若干个卷积层组成,用来编码人脸掩膜。残差块进一步地转化编码后的人脸掩膜。解码器通过堆叠若干个转置卷积层而实现。这三个子模块依次堆叠,将一个输入的人脸掩膜转化为一个输出的人脸图像。此外,在解码器中采用了自适应实例归一化(AdaIN)注入风格信息,定义如下:
![](data:image/png;base64,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)
这里使用
来缩放归一化的特征映射
,并将之平移
。注意,这里的统计量皆是跨空间位置来计算的。
![](//m.vanbien.com/upload/paper/images/2022/11/20221114921503220.png)
风格解码器(Style decoder)
为了迫使生成器
使用风格信息
,本文模型也设计了一个风格解码器
,如表A3所示,用来从生成的人脸图像
中提取风格码
。因为
是从风格码中
生成的,因此理想情况下,解码的风格码
应该是
的重建。
![](//m.vanbien.com/upload/paper/images/2022/11/20221114922253840.png)
判别器(Discriminator)
如表A4所示,解码器
学习了一个二分类器,用来判定一个输入图像
是真实图像还是由
生成的假图像
。
![](//m.vanbien.com/upload/paper/images/2022/11/20221114930295570.png)
训练损失函数
本文采用对抗的方式端到端地训练风格编码器、风格解码器、生成器和判别器,所用损失函数如下:
1)对抗损失
对抗损失鼓励模型去生成逼真的人脸图像,定义为:
![](data:image/png;base64,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)
其中
,为输入的人脸掩膜,
为采样的隐码,
是真实的人脸图像。
表示生成的人脸图像,
表示判别器的输出。风格编码器
学习为生成器
提供风格码
。
2)风格重建损失
风格重建损失迫使生成器
使用风格编码器
生成的风格码
,定义为:
![](data:image/png;base64,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)
其中,
将隐码转化为风格码,
用来从生成的图像
中提取风格码。这里采用了
范数计算转化的和提取的风格码之间的距离。
3)多样性损失
多样性损失进一步地鼓励生成器
生成多样化的图像。为此,定义如下的损失函数:
![](data:image/png;base64,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)
其中,
和
是两个随机采样的隐码,用来得到两个不同的风格码
和
,并且进一步地由
生成两个图像。这里采用了
范数作为图像间的距离度量。因为更多样化的图像倾向于拥有更大的距离,因此这里鼓励模型拥有更大的
多样性损失。
最后,所使用的全部损失总结为:
![](data:image/png;base64,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)
其中,
是控制每个损失的相对重要性的超参数。
测试流程
整个测试过程只保留了图2的左半部分,去除了风格解码器
和判别器
。给定一个随机采样的隐码
,风格编码器首先将其编码为一个风格码
。然后,在此条件下,生成器
将一个输入的人脸掩膜
转化为一个人脸图像
。
03 主要贡献
本文的主要创新点总结如下: (1) 提出了一个新颖的基于人脸掩膜生成逼真可控的人脸图像的框架。通过操控输入的人脸掩膜,本文的模型能够生成与之匹配的人脸图像。 (2) 通过设计风格编码器和风格解码器,并且驱使模型重建风格码,本文的模型能够从相同的人脸掩膜中生成多样化的人脸图像。 (3) 定性和定量的实验结果表明本文的模型优于其他的先进基准方法。
04 实验结果
(1)定性结果
图3定性地比较了两个基准方法pix2pixHD、CC-FPSE与本文所提模型的结果,其中第一列为输入的人脸掩膜,第二和三列分别为pix2pixHD和CC-FPSE的结果,最后三列展示了本文模型产生的多样化结果。可以看到,所有的方法都可以生成匹配输入人脸掩膜的合理人脸图像。然而,本文的模型可以生成带有更精细细节,如头发、牙齿、更少伪影的人脸图像。
![](//m.vanbien.com/upload/paper/images/2022/11/20221114924126970.png)
图3 视觉结果比较
(2)定量结果
表1定量地比较了本文模型和基准方法在FID和LPIPS指标上的性能。可以看到,本文方法大幅超越了两个基准方法。
![](//m.vanbien.com/upload/paper/images/2022/11/20221114927217750.png)
(3)人脸操控
图4展示了使用相同的风格码和不同的人脸掩膜生成的人脸图像。可以看到,本文的模型可以生成匹配输入人脸掩膜的人脸图像,并且同时保持身份信息。由此也表明本文模型可以通过改变人脸掩膜的不同部位或脸部的视角来操控人脸生成结果。
![](//m.vanbien.com/upload/paper/images/2022/11/20221114928174780.png)
图4 人脸操控示例
解读:王财勇 北京建筑大学
审核:张 琨 合肥工业大学
![](//m.vanbien.com/upload/paper/images/2022/11/20221114928472120.png)
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