Defining belief functions using mathematical morphology - Application to image fusion under imprecision

作者：Bloch Isabelle^*

来源：International Journal of Approximate Reasoning, 2008, 48(2): 437-465.

DOI：10.1016/j.ijar.2007.07.008

• mathematical morphology
• dilation
• erosion
• belief functions
• Dempster-Shafer theory
• image fusion
• spatial imprecision
• fuzzy sets

We address in this paper the problem of defining belief functions, typically for multi-source classification applications in image processing. We propose to use mathematical morphology for introducing imprecision in the mass and belief functions while estimating disjunctions of hypotheses. The basic idea relies on the similarity between some properties of morphological operators and properties of belief functions. The framework of mathematical morphology guarantees that the derived functions have all required properties. We illustrate the proposed approach on synthetic and real images.

• 出版日期2008-6