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Fuzzy Description of Topological Relations II: Computation Methods and Examples

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Advances in Natural Computation (ICNC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3612))

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Abstract

The unified fuzzy 9-intersection model of topological relations can describe the uncertainty of topological relations introduced by the uncertainty of spatial data. In this article, first, the raster algorithm for computing fuzzy 9-intersection model is presented, and the vector algorithms for computing fuzzy 9-intersection model of point/point, point/line, point/region, line/line, line/region, region/region topological relations are also provided. Second, based on the software developed by us, the examples for computing fuzzy 9-intersection matrix between two crisp objects, between two fuzzy objects and between a crisp object and a fuzzy object are listed. The results and analysis show that the unified fuzzy 9-intersection model is effective to describe the uncertainty of topological relations.

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References

  1. Zimmermann, H.J.: Fuzzy Set Theory and Its Applications. Kluwer, Boston (1991)

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  2. Abdelmoty, A.I., Williams, M.H.: Approaches to the Representation of Qualitative Spatial Relationships for Geographic Databases. In: Molenaar, M., Hoop, S.D. (eds.) Advanced Geographic Data Modeling: Spatial Data Modeling and Query Language for 2D and 3D applications, pp. 204–216. Delft, The Netherlands (1994)

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Author information

Authors and Affiliations

  1. Institute of Remote Sensing and GIS, Peking University, Beijing, 100871, China

    Shihong Du & Qiming Qin

  2. College of Geographic Information Science, Nanjing Normal University, Nanjing, 210097, China

    Qiao Wang & Yipeng Yang

Authors
  1. Shihong Du
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  2. Qiao Wang
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  3. Qiming Qin
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  4. Yipeng Yang
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. School of Software, Sun Yat-Sen University, 510275, Guangzhou, China

    Ke Chen

  3. School of Computer Engineering, Nanyang Technological University, BLK N4, 2b-39, Nanyang Avenue, 639798, Singapore

    Yew Soon Ong

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© 2005 Springer-Verlag Berlin Heidelberg

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Du, S., Wang, Q., Qin, Q., Yang, Y. (2005). Fuzzy Description of Topological Relations II: Computation Methods and Examples. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3612. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539902_162

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  • DOI: https://doi.org/10.1007/11539902_162

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28320-1

  • Online ISBN: 978-3-540-31863-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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