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Spatial relationships among image objects play an important role in countless domains of computer. But the research on the expression method of special directional relation ‘between’, ‘among’ and ‘surround’ is immature. In this paper, firstly the characteristics and defects of present basic directional relation models and special directional relation models are analyzed; secondly the basic idea and construction method of F-histogram are introduced; thirdly a new expression method to judge special directional relation ‘between’, ‘among’ and ‘surround’ based on F-histogram is described in detail; finally several calculation examples which can prove the correctness of the method are given.

A Spatial Relation Modeling for ‘Between’ ‘Among’ and ‘Surround’ based on F-histogram