Non-Rigid Structure Estimation in Trajectory Space from Monocular Vision

In this paper, the problem of non-rigid structure estimation in trajectory space from monocular vision is investigated. Similar to the Point Trajectory Approach (PTA), based on characteristic points’ trajectories described by a predefined Discrete Cosine Transform (DCT) basis, the structure matrix w...

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Bibliographic Details
Published in:Sensors (Basel, Switzerland) Vol. 15; no. 10; pp. 25730 - 25745
Main Authors: Wang, Yaming, Tong, Lingling, Jiang, Mingfeng, Zheng, Junbao
Format: Journal Article
Language:English
Published: Switzerland MDPI AG 12.10.2015
MDPI
Subjects:
Accuracy
Algorithms
APG algorithm
Cameras
Factorization
Mathematical analysis
Minimization
Monocular vision
non-rigid structure estimation
Optimization
rank minimization
Reconstruction
Sensors
trace minimization constraint
Trajectories
Wavelet transforms
non-rigid structure estimation
trace minimization constraint
APG algorithm
rank minimization
monocular vision
ISSN:1424-8220, 1424-8220
Online Access:Get full text
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Summary:In this paper, the problem of non-rigid structure estimation in trajectory space from monocular vision is investigated. Similar to the Point Trajectory Approach (PTA), based on characteristic points’ trajectories described by a predefined Discrete Cosine Transform (DCT) basis, the structure matrix was also calculated by using a factorization method. To further optimize the non-rigid structure estimation from monocular vision, the rank minimization problem about structure matrix is proposed to implement the non-rigid structure estimation by introducing the basic low-rank condition. Moreover, the Accelerated Proximal Gradient (APG) algorithm is proposed to solve the rank minimization problem, and the initial structure matrix calculated by the PTA method is optimized. The APG algorithm can converge to efficient solutions quickly and lessen the reconstruction error obviously. The reconstruction results of real image sequences indicate that the proposed approach runs reliably, and effectively improves the accuracy of non-rigid structure estimation from monocular vision.
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ISSN:1424-8220
1424-8220
DOI:10.3390/s151025730