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arXiv 2007.03408cs.CVcs.LGstat.ML
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基于特征分布间最优传输的纹理合成生成模型

A Generative Model for Texture Synthesis based on Optimal Transport between Feature Distributions

Ubisoft La Forge(育碧拉福奇实验室);Université de Bordeaux(波尔多大学);Bordeaux INP(波尔多国立综合理工学院);Université de Normandie(诺曼底大学);UniCaen(卡昂大学);ENSICAEN(卡昂高等工程师学院)

Antoine Houdard, Arthur Leclaire, Nicolas Papadakis, Julien Rabin

AI总结:

本文提出 GOTEX 优化框架,利用最优传输约束局部特征分布以实现纹理合成、修复与插值,并可训练前馈网络快速生成任意尺寸纹理。

摘要:

我们提出 GOTEX,这是一个通过优化进行纹理合成的通用框架,对局部特征的统计分布施加约束。虽然我们的模型涵盖若干现有纹理模型,但本文重点关注特征分布之间的比较依赖最优传输距离的情形。我们表明,最优传输的半对偶形式能够控制多种可能特征的分布,即使这些特征位于高维空间中。随后,我们研究由此产生的极小极大优化问题,该问题对应于一个 Wasserstein 生成模型,其内部凹最大化问题可通过标准随机梯度方法求解。该交替优化算法在应用、特征和架构方面表现出很强的通用性;特别是,它能够使用不同的特征集合生成高质量的合成纹理。我们分析了通过约束 patch 分布或预学习 VGG 神经网络响应分布所获得的结果。我们表明,patch 表示能够以更精确的方式恢复所需的纹理外观。我们还与最先进的纹理合成方法进行了详细比较。基于 patch 特征的 GOTEX 模型也适用于纹理修复和纹理插值。最后,我们展示如何使用该框架学习一个前馈神经网络,该网络能够以非常快的方式即时合成任意尺寸的新纹理。实验结果以及与文献中主流方法的比较,说明了用 GOTEX 学习的生成模型的相关性。

英文摘要:

We propose GOTEX, a general framework for texture synthesis by optimization that constrains the statistical distribution of local features. While our model encompasses several existing texture models, we focus on the case where the comparison between feature distributions relies on optimal transport distances. We show that the semi-dual formulation of optimal transport allows to control the distribution of various possible features, even if these features live in a high-dimensional space. We then study the resulting minimax optimization problem, which corresponds to a Wasserstein generative model, for which the inner concave maximization problem can be solved with standard stochastic gradient methods. The alternate optimization algorithm is shown to be versatile in terms of applications, features and architecture; in particular it allows to produce high-quality synthesized textures with different sets of features. We analyze the results obtained by constraining the distribution of patches or the distribution of responses to a pre-learned VGG neural network. We show that the patch representation can retrieve the desired textural aspect in a more precise manner. We also provide a detailed comparison with state-of-the-art texture synthesis methods. The GOTEX model based on patch features is also adapted to texture inpainting and texture interpolation. Finally, we show how to use our framework to learn a feed-forward neural network that can synthesize on-the-fly new textures of arbitrary size in a very fast manner. Experimental results and comparisons with the mainstream methods from the literature illustrate the relevance of the generative models learned with GOTEX.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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