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Sensors 2015, 15(10), 25730-25745; doi:10.3390/s151025730

Non-Rigid Structure Estimation in Trajectory Space from Monocular Vision

School of Information Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, China
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Author to whom correspondence should be addressed.
Academic Editor: Vittorio M. N. Passaro
Received: 2 July 2015 / Revised: 28 September 2015 / Accepted: 6 October 2015 / Published: 12 October 2015
(This article belongs to the Section Physical Sensors)
View Full-Text   |   Download PDF [947 KB, uploaded 12 October 2015]   |  

Abstract

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. View Full-Text
Keywords: non-rigid structure estimation; monocular vision; trace minimization constraint; rank minimization; APG algorithm non-rigid structure estimation; monocular vision; trace minimization constraint; rank minimization; APG algorithm
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Wang, Y.; Tong, L.; Jiang, M.; Zheng, J. Non-Rigid Structure Estimation in Trajectory Space from Monocular Vision. Sensors 2015, 15, 25730-25745.

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