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Quantitative analysis of error bounds in the recovery of depth from defocused images

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Title Quantitative analysis of error bounds in the recovery of depth from defocused images
 
Creator RAJAGOPALAN, AN
CHAUDHURI, S
CHELLAPPA, R
 
Subject camera parameters
optimal selection
focus
 
Description Depth from defocus involves estimating the relative blur between a pair of defocused images of a scene captured with different lens settings. When a priori information about the scene is available, it is possible to estimate the depth even from a single image. However, experimental studies indicate that the depth estimate improves with multiple observations. We provide a mathematical underpinning to this evidence by deriving and comparing the theoretical bounds for the error in the estimate of blur corresponding to the case of a single image and for a pair of defocused images. A nem theorem is proposed that proves that the Cramer-Rao bound on the variance of the error in the estimate of blur decreases with an increase in the number of observations. The difference in the bounds turns out to be a function of the relative blurting between the observations. Hence one can indeed get better estimates of depth from multiple defocused images compared with those using only a single image, provided that these images are differently blurred. Results on synthetic as well as real data are given to further validate the claim. (C) 2000 Optical Society of America [S0740-3232(00)02310-3]. OCIS codes: 150.5670, 150.6910, 100.3190, 100.2960.
 
Publisher OPTICAL SOC AMER
 
Date 2011-08-19T10:57:58Z
2011-12-26T12:56:12Z
2011-12-27T05:44:31Z
2011-08-19T10:57:58Z
2011-12-26T12:56:12Z
2011-12-27T05:44:31Z
2000
 
Type Article
 
Identifier JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 17(10), 1722-1731
0740-3232
http://dx.doi.org/10.1364/JOSAA.17.001722
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10327
http://hdl.handle.net/10054/10327
 
Language en