The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Recovery of nonrigid motion and structure
Abstract
The authors introduce a physically correct model of elastic nonrigid motion. This model is based on the finite element method, but decouples the degrees of freedom by breaking down object motion into rigid and nonrigid vibration or deformation modes. The result is an accurate representation for both rigid and nonrigid motion that has greatly reduced dimensionality, capturing the intuition that nonrigid motion is normally coherent and not chaotic. Because of the small number of parameters involved, this representation is used to obtain accurate overstrained estimates of both rigid and nonrigid global motion. It is also shown that these estimates can be integrated over time by use of an extended Kalman filter, resulting in stable and accurate estimates of both three-dimensional shape and three-dimensional velocity. The formulation is then extended to include constrained nonrigid motion. Examples of tracking single nonrigid objects and multiple constrained objects are presented.>
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Cites
A New Approach to Linear Filtering and Prediction Problems
Kalman, R. E. (1960) · Journal of Basic Engineering · doi:10.1115/1.3662552 · Cited by 31,751
Cited by
Deformable models in medical image analysis: a survey
McInerney, T., & Terzopoulos, D. (1996) · Medical Image Analysis · doi:10.1016/s1361-8415(96)80007-7 · Cited by 1,913
Tracking people with twists and exponential maps
Bregler, C., & Malik, J. (2002) · Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231) · doi:10.1109/cvpr.1998.698581 · Cited by 719
Three-dimensional modeling for functional analysis of cardiac images, a review
Frangi, A. F., Niessen, W. J., & Viergever, M. A. (2001) · IEEE Transactions on Medical Imaging · doi:10.1109/42.906421 · Cited by 533
An algorithmic overview of surface registration techniques for medical imaging
Audette, M. A., Ferrie, F. P., & Peters, T. M. (2000) · Medical Image Analysis · doi:10.1016/s1361-8415(00)00014-1 · Cited by 406
McInerney, T., & Terzopoulos, D. (1995) · Computerized Medical Imaging and Graphics · doi:10.1016/0895-6111(94)00040-9 · Cited by 358
Metadata
- Authors
- Pentland, A., & Horowitz, B.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1991-07
- Volume
- 13
- Issue
- 7
- Pages
- 730-742
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2178278515
- Cited by
- 358
- References
- 1
- FWCI
- 15.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- Pentland, A., & Horowitz, B. (1991). Recovery of nonrigid motion and structure. IEEE Transactions on Pattern Analysis and Machine Intelligence. https://doi.org/10.1109/34.85661
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
