Support of the decision variable densities of the three-class ideal observer for bivariate trinormal data

Darrin C. Edwards

doi:10.1117/12.877902

3 March 2011 Support of the decision variable densities of the three-class ideal observer for bivariate trinormal data

Darrin C. Edwards

Proceedings Volume 7966, Medical Imaging 2011: Image Perception, Observer Performance, and Technology Assessment; 79660I (2011) https://doi.org/10.1117/12.877902
Event: SPIE Medical Imaging, 2011, Lake Buena Vista (Orlando), Florida, United States

Abstract

Despite theoretical and practical difficulties, we are attempting to extend receiver operating characteristic (ROC) analysis to tasks with more than two classes. Previously we investigated a univariate trinormal model for the underlying data of a three-class ideal observer. Although analytically tractable, this is less realistic than a multivariate data model. We have developed expressions for the region of support of the decision variable probability density functions for bivariate trinormal underlying data, given certain constraints on the underlying data covariance matrices. We hope these results will aid in developing computational methods for evaluating observer performance under such a model.

Citation Download Citation

Darrin C. Edwards "Support of the decision variable densities of the three-class ideal observer for bivariate trinormal data", Proc. SPIE 7966, Medical Imaging 2011: Image Perception, Observer Performance, and Technology Assessment, 79660I (3 March 2011); https://doi.org/10.1117/12.877902

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