Skip to main content

Approximate Parallelism between Fuzzy Objects: Some Definitions

  • Conference paper
Fuzzy Logic and Applications (WILF 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5571))

Included in the following conference series:

Abstract

Assessing the parallelism between objects is an important issue when considering man-made objects such as buildings, roads, etc. In this paper, we address this problem in the fuzzy set framework and define novel approximate parallelism notions, for fuzzy segments and non-linear objects or groups of objects. The proposed definitions are in agreement with the intuitive perception of this spatial relation, as illustrated on real objects from satellite images.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bloch, I.: Fuzzy spatial relationships for image processing and interpretation: a review. Image and Vision ComputingĀ 23(2), 89ā€“110 (2005)

    ArticleĀ  Google ScholarĀ 

  2. Bloch, I., Colliot, O., Cesar Jr., R.M.: On the ternary spatial relation between. IEEE Transactions on Systems, Man, and Cybernetics ā€“ Part B: CyberneticsĀ 36(2), 312ā€“327 (2006)

    ArticleĀ  Google ScholarĀ 

  3. Bloch, I., MaĆ®tre, H.: Fuzzy mathematical morphologies: A comparative study. Pattern RecognitionĀ 28(9), 1341ā€“1387 (1995)

    ArticleĀ  MathSciNetĀ  Google ScholarĀ 

  4. Ip, H.H.S., Wong, W.H.: Detecting perceptually parallel curves: Criteria and force driven optimization. Computer Vision and Image UnderstandingĀ 68(2), 190ā€“208 (1997)

    ArticleĀ  Google ScholarĀ 

  5. Penedo, M.G., Ortega, M., Roucu, J., Penas, M., Alonso-Montes, C.: Certainty measure of pairwise line segment perceptual relations using fuzzy logic. In: Rueda, L., Mery, D., Kittler, J. (eds.) CIARP 2007. LNCS, vol.Ā 4756, pp. 477ā€“486. Springer, Heidelberg (2007)

    Google ScholarĀ 

  6. Kang, H.-B., Walker, E.L.: Perceptual grouping based on fuzzy sets. In: IEEE International Conference on Fuzzy Systems, pp. 651ā€“659 (1992)

    Google ScholarĀ 

  7. Lowe, D.G.: Three-dimensional object recognition from single two-dimensional images. Artificial IntelligenceĀ 31(3), 355ā€“395 (1987)

    ArticleĀ  Google ScholarĀ 

  8. Sarkar, S., Boyer, K.L.: Perceptual organization in computer vision: a review and a proposal for a classificatory structure. IEEE Transactions on Systems, Man, and CyberneticsĀ 23(2), 382ā€“399 (1993)

    ArticleĀ  Google ScholarĀ 

  9. Shen, D., Wong, W., Ip, H.H.S.: Affine-invariant image retrieval by correspondence matching of shapes. Image and Vision ComputingĀ 17(7), 489ā€“499 (1999)

    ArticleĀ  Google ScholarĀ 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

Ā© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Vanegas, M.C., Bloch, I., MaĆ®tre, H., Inglada, J. (2009). Approximate Parallelism between Fuzzy Objects: Some Definitions. In: Di GesĆ¹, V., Pal, S.K., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2009. Lecture Notes in Computer Science(), vol 5571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02282-1_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02282-1_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02281-4

  • Online ISBN: 978-3-642-02282-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics