Relative Position-Based Spatial Relationships using Mathematical Morphology

13 years 10 months ago

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Spatial information is a crucial aspect of image understanding for modeling context as well as resolving the uncertainties caused by the ambiguities in low-level features. We describe ﬂexible, intuitive and efﬁcient methods for modeling pairwise directional spatial relationships and the ternary between relation using fuzzy mathematical morphology. First, a fuzzy landscape is constructed where each point is assigned a value that quantiﬁes its relative position according to the reference object(s) and the type of relationship. Then, the degree of satisfaction of this relation by a target object is computed by integrating the corresponding landscape over the support of the target region. Our models support sensitivity to visibility to handle areas that are partially enclosed by objects and are not visible from image points along the direction of interest. They can also cope with the cases where one object is signiﬁcantly spatially extended relative to others. Experiments using sy...

Ramazan Gokberk Cinbis, Selim Aksoy

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