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arXiv 2605.09231cs.CVstat.ML

一种弹性形状变分自编码器用于骨骼姿态轨迹

An Elastic Shape Variational Autoencoder for Skeleton Pose Trajectories

Systems and Information Engineering, University of Virginia(弗吉尼亚大学系统与信息工程系);Biomedical Engineering, Johns Hopkins University(约翰霍普金斯大学生物医学工程系);Dept. of Applied Mathematics and Statistics, Johns Hopkins University(约翰霍普金斯大学应用数学与统计学系)

Arafat Rahman, Shashwat Kumar, Laura E. Barnes, Anuj Srivastava

AI总结:

本文提出ES-VAE,通过运输平方根速度场表示在Kendall形状流形上学习骨骼轨迹的生成模型,有效分离形状动态,优于标准VAE和序列建模基线,在步态分析和动作识别中表现优异。

摘要:

深度生成模型为建模复杂结构数据提供了灵活的框架,如图像、视频、3D物体和文本。然而,当应用于人体骨骼序列时,标准变分自编码器(VAEs)通常将大量容量分配给干扰因素,如摄像机方向、主体尺寸、视角和执行速度,而非形状和运动的内在几何结构。我们提出弹性形状-变分自编码器(ES-VAE),一种针对骨骼轨迹的几何感知生成模型,利用传输平方根速度场(TSRVF)表示在Kendall形状流形上。该表示本质上消除了形状的刚体平移、旋转和全局缩放以及序列的时间率变化,隔离了底层形状动态。ES-VAE编码器将骨骼序列映射到低维潜在空间,结合黎曼对数映射,而解码器利用相应的指数映射重建序列。我们在两个数据集上展示了ES-VAE的有效性。首先,我们分析骨骼步态周期以预测临床移动评分并分类主体为健康和中风后组。其次,我们在NTU RGB+D数据集上评估动作识别。在两种设置中,ES-VAE均优于标准VAE和一系列序列建模基线,包括时间卷积网络、Transformer和图卷积网络。更广泛地说,ES-VAE为在姿态形状流形上学习生成模型提供了系统框架,相较于现有深度学习方法,提供了改进的潜在表示和下游性能。

英文摘要:

Deep generative models provide flexible frameworks for modeling complex, structured data such as images, videos, 3D objects, and texts. However, when applied to sequences of human skeletons, standard variational autoencoders (VAEs) often allocate substantial capacity to nuisance factors-such as camera orientation, subject scale, viewpoint, and execution speed-rather than the intrinsic geometry of shapes and their motion. We propose the Elastic Shape - Variational Autoencoder (ES-VAE), a geometry-aware generative model for skeletal trajectories that leverages the transported square-root velocity field (TSRVF) representation on Kendall's shape manifold. This representation inherently removes rigid translations, rotations, and global scaling of shapes, and temporal rate variability of sequences, isolating the underlying shape dynamics. The ES-VAE encoder maps skeletal sequences to a low-dimensional latent space incorporating the Riemannian logarithm map, while the decoder reconstructs sequences using the corresponding exponential map. We demonstrate the effectiveness of ES-VAE on two datasets. First, we analyze skeletal gait cycles to predict clinical mobility scores and classify subjects into healthy and post-stroke groups. Second, we evaluate action recognition on the NTU RGB+D dataset. Across both settings, ES-VAE consistently outperforms standard VAEs and a range of sequence modeling baselines, including temporal convolutional networks, transformers, and graph convolutional networks. More broadly, ES-VAE provides a principled framework for learning generative models of longitudinal data on pose shape manifolds, offering improved latent representation and downstream performance compared to existing deep learning approaches.

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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