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Good Vibrations: A Modal Analysis Approach for Sequential Non-rigid Structure from Motion

Agudo, A; Agapito, L; Calvo, B; Montiel, JMM; (2014) Good Vibrations: A Modal Analysis Approach for Sequential Non-rigid Structure from Motion. In: Proceedings of the 2014 IEEE Conference on Computer Vision and Pattern Recognition. (pp. pp. 1558-1565). IEEE: Columbus, OH, USA. Green open access

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Abstract

We propose an online solution to non-rigid structure from motion that performs camera pose and 3D shape estimation of highly deformable surfaces on a frame-by-frame basis. Our method models non-rigid deformations as a linear combination of some mode shapes obtained using modal analysis from continuum mechanics. The shape is first discretized into linear elastic triangles, modelled by means of finite elements, which are used to pose the force balance equations for an undamped free vibrations model. The shape basis computation comes down to solving an eigenvalue problem, without the requirement of a learning step. The camera pose and time varying weights that define the shape at each frame are then estimated on the fly, in an online fashion, using bundle adjustment over a sliding window of image frames. The result is a low computational cost method that can run sequentially in real-time. We show experimental results on synthetic sequences with ground truth 3D data and real videos for different scenarios ranging from sparse to dense scenes. Our system exhibits a good trade-off between accuracy and computational budget, it can handle missing data and performs favourably compared to competing methods.

Type: Proceedings paper
Title: Good Vibrations: A Modal Analysis Approach for Sequential Non-rigid Structure from Motion
Event: 2014 IEEE Conference on Computer Vision and Pattern Recognition
Location: Columbus, OH
Dates: 23 June 2014 - 28 June 2014
ISBN-13: 978-1-4799-5118-5
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/CVPR.2014.202
Publisher version: https://doi.org/10.1109/CVPR.2014.202
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Shape, Three-dimensional displays, Computational modeling, Cameras, Real-time systems, Modal analysis
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10115314
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