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局部加权主成分回归在人体运动数据中缺失标记点的恢复。

Locally weighted PCA regression to recover missing markers in human motion data.

机构信息

University of Engineering and Technology, Vietnam National University, Hanoi, Vietnam.

National Centre for Computer Animation, Bournemouth University, Poole, United Kingdom.

出版信息

PLoS One. 2022 Aug 8;17(8):e0272407. doi: 10.1371/journal.pone.0272407. eCollection 2022.

DOI:10.1371/journal.pone.0272407
PMID:35939446
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9359544/
Abstract

"Missing markers problem", that is, missing markers during a motion capture session, has been raised for many years in Motion Capture field. We propose the locally weighted principal component analysis (PCA) regression method to deal with this challenge. The main merit is to introduce the sparsity of observation datasets through the multivariate tapering approach into traditional least square methods and develop it into a new kind of least square methods with the sparsity constraints. To the best of our knowledge, it is the first least square method with the sparsity constraints. Our experiments show that the proposed regression method can reach high estimation accuracy and has a good numerical stability.

摘要

“缺失标记问题”,即在运动捕捉过程中丢失标记,在运动捕捉领域已经提出了多年。我们提出了局部加权主成分分析(PCA)回归方法来处理这一挑战。其主要优点是通过多元缩径方法将观测数据集的稀疏性引入传统的最小二乘方法,并将其发展成为一种具有稀疏约束的新的最小二乘方法。据我们所知,这是第一个具有稀疏约束的最小二乘方法。我们的实验表明,所提出的回归方法可以达到较高的估计精度,并且具有良好的数值稳定性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8139/9359544/bf5b96a57fa6/pone.0272407.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8139/9359544/0b0accef0b02/pone.0272407.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8139/9359544/4d21372b29a9/pone.0272407.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8139/9359544/652e2dff8fe1/pone.0272407.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8139/9359544/bf5b96a57fa6/pone.0272407.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8139/9359544/0b0accef0b02/pone.0272407.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8139/9359544/4d21372b29a9/pone.0272407.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8139/9359544/652e2dff8fe1/pone.0272407.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8139/9359544/bf5b96a57fa6/pone.0272407.g004.jpg

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本文引用的文献

1
Robust and automatic motion-capture data recovery using soft skeleton constraints and model averaging.使用软骨架约束和模型平均进行健壮且自动的运动捕捉数据恢复。
PLoS One. 2018 Jul 10;13(7):e0199744. doi: 10.1371/journal.pone.0199744. eCollection 2018.
2
Recovering low-rank and sparse matrix based on the truncated nuclear norm.基于截断核范数的低秩稀疏矩阵恢复
Neural Netw. 2017 Jan;85:10-20. doi: 10.1016/j.neunet.2016.09.005. Epub 2016 Oct 3.
3
Predicting Missing Marker Trajectories in Human Motion Data Using Marker Intercorrelations.
利用标记物互相关预测人体运动数据中缺失的标记物轨迹。
PLoS One. 2016 Mar 31;11(3):e0152616. doi: 10.1371/journal.pone.0152616. eCollection 2016.
4
A novel approach to solve the "missing marker problem" in marker-based motion analysis that exploits the segment coordination patterns in multi-limb motion data.一种新方法解决基于标记的运动分析中的“缺失标记问题”,该方法利用多肢体运动数据中的节段协调模式。
PLoS One. 2013 Oct 30;8(10):e78689. doi: 10.1371/journal.pone.0078689. eCollection 2013.
5
Quantitative assessment of the accuracy for three interpolation techniques in kinematic analysis of human movement.人体运动学分析中三种插值技术准确性的定量评估。
Comput Methods Biomech Biomed Engin. 2010 Dec;13(6):847-55. doi: 10.1080/10255841003664701.