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Proceedings Paper

ROC manifolds of multiple fused independent ATR systems
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Paper Abstract

n Automatic Target Recognition (ATR) system with N possible output labels (or decisions) will have N(N − 1) possible errors. The Receiver Operating Characteristic (ROC) manifold was created to quantify all of these errors. When multiple ATR systems are fused, the assumption of independence is usually made in order to mathematically combine the individual ROC manifolds for each system into one ROC manifold. This paper will investigate the label fusion (also called decision fusion) of multiple classification systems that have the same number of output labels. Boolean rules do not exist for multiple symbols, thus, we will derive possible Boolean-like rules as well as other rules that will yield label fusion rules. The formula for the resultant ROC manifold of the fused classification systems which incorporates the individual classification systems will be derived. Specifically, given a fusion rule and two classification systems, the ROC manifold for the fused system is produced. We generate formulas for the Boolean-like OR rule, Boolean-like AND rule, and other rules and give the resultant ROC manifold for the fused system. Examples will be given that demonstrate how each formula is used.

Paper Details

Date Published: 11 May 2009
PDF: 12 pages
Proc. SPIE 7336, Signal Processing, Sensor Fusion, and Target Recognition XVIII, 73360L (11 May 2009); doi: 10.1117/12.819283
Show Author Affiliations
Mark E. Oxley, Air Force Institute of Technology (United States)
Christine M. Schubert, Virginia Commonwealth Univ. (United States)
Steven N. Thorsen, U.S. Air Force Academy (United States)


Published in SPIE Proceedings Vol. 7336:
Signal Processing, Sensor Fusion, and Target Recognition XVIII
Ivan Kadar, Editor(s)

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