Texture Mixing by Interpolating Deep Statistics via Gaussian Models

Recently, enthusiastic studies have devoted to texture synthesis using deep neural networks, because these networks excel at handling complex patterns in images. In these models, second-order statistics, such as Gram matrix, are used to describe textures. Although these models have achieved promisin...

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Main Authors: Zhucun Xue, Ziming Wang
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9052476/
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author Zhucun Xue
Ziming Wang
author_facet Zhucun Xue
Ziming Wang
author_sort Zhucun Xue
collection DOAJ
description Recently, enthusiastic studies have devoted to texture synthesis using deep neural networks, because these networks excel at handling complex patterns in images. In these models, second-order statistics, such as Gram matrix, are used to describe textures. Although these models have achieved promising results, the structure of their parametric space is still unclear. Consequently, it is difficult to use them to mix textures. This paper addresses the texture mixing problem by using a Gaussian scheme to interpolate deep statistics computed from deep neural networks. More precisely, we first reveal that the statistics used in existing deep models can be unified using a stationary Gaussian scheme. We then present a novel algorithm to mix these statistics by interpolating between Gaussian models using optimal transport. We further apply our scheme to Neural Style Transfer, where we can create mixed styles. The experiments demonstrate that our method outperforms a number of baselines. Because all the computations are implemented in closed forms, our mixing algorithm adds only negligible time to the original texture synthesis procedure.
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spelling doaj.art-207c1f48dce54da0bd8a7654978b37942022-12-21T22:50:42ZengIEEEIEEE Access2169-35362020-01-018607476075810.1109/ACCESS.2020.29814109052476Texture Mixing by Interpolating Deep Statistics via Gaussian ModelsZhucun Xue0Ziming Wang1https://orcid.org/0000-0002-1739-307XState Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing (LIESMARS), Wuhan University, Wuhan, ChinaState Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing (LIESMARS), Wuhan University, Wuhan, ChinaRecently, enthusiastic studies have devoted to texture synthesis using deep neural networks, because these networks excel at handling complex patterns in images. In these models, second-order statistics, such as Gram matrix, are used to describe textures. Although these models have achieved promising results, the structure of their parametric space is still unclear. Consequently, it is difficult to use them to mix textures. This paper addresses the texture mixing problem by using a Gaussian scheme to interpolate deep statistics computed from deep neural networks. More precisely, we first reveal that the statistics used in existing deep models can be unified using a stationary Gaussian scheme. We then present a novel algorithm to mix these statistics by interpolating between Gaussian models using optimal transport. We further apply our scheme to Neural Style Transfer, where we can create mixed styles. The experiments demonstrate that our method outperforms a number of baselines. Because all the computations are implemented in closed forms, our mixing algorithm adds only negligible time to the original texture synthesis procedure.https://ieeexplore.ieee.org/document/9052476/Texture modelingtexture mixingGaussian modelsdeep neural networks
spellingShingle Zhucun Xue
Ziming Wang
Texture Mixing by Interpolating Deep Statistics via Gaussian Models
IEEE Access
Texture modeling
texture mixing
Gaussian models
deep neural networks
title Texture Mixing by Interpolating Deep Statistics via Gaussian Models
title_full Texture Mixing by Interpolating Deep Statistics via Gaussian Models
title_fullStr Texture Mixing by Interpolating Deep Statistics via Gaussian Models
title_full_unstemmed Texture Mixing by Interpolating Deep Statistics via Gaussian Models
title_short Texture Mixing by Interpolating Deep Statistics via Gaussian Models
title_sort texture mixing by interpolating deep statistics via gaussian models
topic Texture modeling
texture mixing
Gaussian models
deep neural networks
url https://ieeexplore.ieee.org/document/9052476/
work_keys_str_mv AT zhucunxue texturemixingbyinterpolatingdeepstatisticsviagaussianmodels
AT zimingwang texturemixingbyinterpolatingdeepstatisticsviagaussianmodels