Modelling Numerical and Spatial Uncertainty in GrayscaleImage Capture Using Fuzzy Set Theory
Mike Nachtegae, Peter Sussner, Tom Mélange, Etienne E. Kerre · Journal of Advanced Computational Intelligence and Intelligent Informatics · 2009
In this paper, we will discuss interval-valued and intuitionistic fuzzy sets as a model for grayscale images, taking into account the uncertainty regarding the measured grayscale values, which in some cases is also related to the uncertainty regarding the spatial position of an object in an image. We will demonstrate the practical potential of this image model by introducing an interval-valued morphological theory and by illustrating its application with some examples. The results show that the uncertainty that is present during the image capture not only can be modelled, but can also be propagated such that the information regarding the uncertainty is never lost.