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Estimating three-dimensional motion parameters of a rigid planar patch
Abstract
We present a new direct method of estimating the three-dimensional motion parameters of a rigid planar patch from two time-sequential perspective views (image frames). First, a set of eight pure parameters are defined. These parameters can be determined uniquely from the two given image frames by solving a set of linear equations. Then, the actual motion parameters are determined from these pure parameters by a method which requires the solution of a sixth-order polynomial of one variable only, and there exists a certain efficient algorithm for solving a sixth-order polynomial. Aside from a scale factor for the translation parameters, the number of real solutions never exceeds two. In the special case of three-dimensional translation, the motion parameters can be expressed directly as some simple functions of the eight pure parameters. Thus, only a few arithmetic operations are needed.
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Cited by
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Scaramuzza, D., & Siegwart, R. (2008) · IEEE Transactions on Robotics · doi:10.1109/tro.2008.2004490 · Cited by 292
3-D object modeling from 2-D occluding contour correspondences by opti-acoustic stereo imaging
Babaee, M., & Negahdaripour, S. (2015) · Computer Vision and Image Understanding · doi:10.1016/j.cviu.2014.10.007 · Cited by 27
Metadata
- Authors
- Tsai, R., & Huang, T.
- Venue
- IEEE Transactions on Acoustics, Speech, and Signal Processing
- Published
- 1981-12
- Volume
- 29
- Issue
- 6
- Pages
- 1147-1152
- ISSN
- 0096-3518 (ISSN-L)
- OpenAlex
- W2146196065
- Cited by
- 329
- References
- 0
- FWCI
- 10.16
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Estimating three-dimensional motion parameters of a rigid planar patch. https://app.cochat.ai/papers/10.1109/tassp.1981.1163710
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- Tsai, R., & Huang, T. (1981). Estimating three-dimensional motion parameters of a rigid planar patch. IEEE Transactions on Acoustics, Speech, and Signal Processing. https://doi.org/10.1109/tassp.1981.1163710
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