Three‐Dimensional Receiver Operating Characteristics (3D ROC) Analysis
Chein-I Chang · 2013
This chapter extends the traditional receiver operating characteristics (ROC) analysis for single-signal detection to multiple-signal detection and classification. It also explores the relationship among the three parameters, PD, PF, and τ, and further develops a new concept of three-dimensional ROC (3D ROC) analysis that uses 3D ROC curves plotted with PD, PF, and τ to evaluate detection effectiveness rather than only PD and PF used by two-dimensional receiver operating characteristics (2D ROC) analysis. As a result of using the 3D ROC curves, three 2D ROC curves can also be derived, the conventional 2D ROC curve plotted by PD versus PF and two new 2D ROC curves plotted by PD versus τ and PF versus τ. To demonstrate the utility of 3D ROC analysis, four applications are considered: hyperspectral target detection, medical diagnosis, chemical/biological agent detection, and biometric recognition. Controlled Vocabulary Terms signal detection