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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Betke, M. Naftali, E. Makris, N.C. |
| Copyright Year | 2001 |
| Description | Author affiliation: Dept. of Comput. Sci., Boston Univ., MA, USA (Betke, M.) |
| Abstract | Analytic conditions that are necessary for the maximum likelihood estimate to become asymptotically unbiased and attain minimum variance are derived for estimation problems in computer vision. In particular, problems of estimating the parameters that describe the 3D structure of rigid objects or their motion are investigated. It is common practice to compute Cramer-Rao lower bounds (CRLB) to approximate the mean-square error in parameter estimation problems, but the CRLB is not guaranteed to be a tight bound and typically underestimates the true mean-square error. The necessary conditions for the Cramer-Rao lower bound to be a good approximation of the mean-squareerror are derived. The tightness of the bound depends on the noise level, the number of pixels on the surface of the object, and the texture of the surface. We examine our analytical results experimentally using polyhedral objects that consist of planar surface patches with various textures that move in 3D space. We provide necessary conditions for the CRLB to be attained that depend on the size, texture, and noise level of the surface patch. |
| Sponsorship | IEEE Comput. Soc. Tech. Committee on Pattern Analysis & Machine Intelligence |
| File Size | 821091 |
| File Format | |
| ISBN | 0769512720 |
| ISSN | 10636919 |
| DOI | 10.1109/CVPR.2001.990996 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2001-12-08 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Motion estimation Surface texture Sea surface Maximum likelihood estimation Computer vision Analysis of variance Parameter estimation Noise level Motion analysis Image analysis |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Vision and Pattern Recognition Software |
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