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Optical Engineering

Error propagation in two-sensor three-dimensional position estimation
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Paper Abstract

The accuracy of 3D position estimation using two angles-only sensors (such as passive optical imagers) is investigated. Beginning with the basic multisensor triangulation equations used to estimate a 3D target position, error propagation equations are derived by taking the appropriate partial derivatives with respect to various measurement errors. Next the concept of Gaussian measurement error is introduced and used to relate the standard deviation of various measurement errors to the standard deviation of the target 3D position estimate. Plots of the various error propagation coefficients are generated. These analytical results are verified using a Monte Carlo statistical approach. The result is a set of equations and graphs useful for designing a two-sensor system to meet a required accuracy specification.

Paper Details

Date Published: 1 April 2001
PDF: 10 pages
Opt. Eng. 40(4) doi: 10.1117/1.1353798
Published in: Optical Engineering Volume 40, Issue 4
Show Author Affiliations
John N. Sanders-Reed, Boeing-SVS, Inc. (United States)

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