Subjective models, oblique projectors, and optimal decisions in image morphology

Abstract

The paper considers the mathematical formalism of the subjective modeling of uncertainty and ambiguity categories reflecting the incompleteness and inaccuracy of the information used in construction of a subjective morphological model. Some examples of subjective modeling for morphological image analysis are presented. It is shown that optimal decisions for morphological image analysis and interpretation can be formulated by means of oblique projection and subjective optimization.