A. Frigessi et H. Rue, BAYESIAN IMAGE CLASSIFICATION WITH BADDELEY-DELTA-LOSS, Journal of computational and graphical statistics, 6(1), 1997, pp. 55-73
this article we adopt Baddeley's delta metric as a loss function in Ba
yesian image restoration and classification. We develop a new algorith
m that allows us to approximate the corresponding optimal Bayesian est
imator. With this algorithm good practical estimates can be obtained a
t approximately the same computational cost as traditional estimators
like the marginal posterior mode (MPM). A comparison of our proposed c
lassification with MPM shows significant advantages, especially with r
espect to fine structures.