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      Relative position-based spatial relationships using mathematical morphology

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      Author
      Cinbiş, R. Gökberk
      Aksoy, Selim
      Date
      2007-09-10
      Source Title
      Proceedings - International Conference on Image Processing, ICIP 2007
      Publisher
      IEEE
      Pages
      II-97 - II-100
      Language
      English
      Type
      Conference Paper
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      Abstract
      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 intuitive, flexible 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 the 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 synthetic and real images show that our models produce more intuitive results than other techniques. ©2007 IEEE.
      Keywords
      Between
      Fuzzy sets
      Mathematical morphology
      Relative position
      Spatial relationships
      Degree of satisfactions
      Efficient methods
      Fuzzy mathematical morphologies
      Image points
      Real images
      Reference objects
      Relative position
      Spatial informations
      Spatial relationships
      Target objects
      Target regions
      Digital image storage
      Image processing
      Imaging systems
      Morphology
      Permalink
      http://hdl.handle.net/11693/26917
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/ICIP.2007.4379101
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      • Department of Computer Engineering 1410
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