ROC manifolds of multiple fused independent ATR systems

Mark E. Oxley; Christine M. Schubert; Steven N. Thorsen

doi:10.1117/12.819283

11 May 2009 ROC manifolds of multiple fused independent ATR systems

Mark E. Oxley, Christine M. Schubert, Steven N. Thorsen

Proceedings Volume 7336, Signal Processing, Sensor Fusion, and Target Recognition XVIII; 73360L (2009) https://doi.org/10.1117/12.819283
Event: SPIE Defense, Security, and Sensing, 2009, Orlando, Florida, United States

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.

Citation Download Citation

Mark E. Oxley, Christine M. Schubert, and Steven N. Thorsen "ROC manifolds of multiple fused independent ATR systems", Proc. SPIE 7336, Signal Processing, Sensor Fusion, and Target Recognition XVIII, 73360L (11 May 2009); https://doi.org/10.1117/12.819283

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