Skip to main content

Vertical Interior Distance Ratio to Minimum Bounding Rectangle of a Shape

  • Conference paper
  • First Online:
Hybrid Intelligent Systems (HIS 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1375))

Included in the following conference series:

Abstract

This paper proposed a simple shape descriptor, based on the vertical interior distance ratio of the minimum bounding rectangle (VIDR). Shape descriptor is widely used to describe shape, especially in leaves matching and trademark retrieval. VIDR is the proportional distribution of the vertical interior distance between the shape contour points and its four sides of the minimum bounding rectangle. The minimum bounding rectangle can change according to the change of shape scale and direction, which is extremely suitable for describing the changing shape, and it has global characteristics. Compared with the descriptor of centroid contour distance (CCD) and the shape context descriptor (SC), which are all use contour points to describe shape, our descriptor has a vertical direction and is able to distinguish the same centroid shapes or similar contour shapes, it also has simpler feature extracting description process. More importantly, the experimental results show that our descriptor has a higher precision and faster speed.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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

References

  1. Premachandran, V., Kakarala, R.: Perceptually motivated shape context which uses shape interiors. Pattern Recognit. 46, 2092–2102 (2013)

    Google Scholar 

  2. Alajlan, N., El Rube, I., Kamel, M.S., Freeman, G.: Shape retrieval using triangle-area representation and dynamic space warping. Pattern Recognit. 40, 1911–1920 (2007)

    Google Scholar 

  3. Yang, X., Bai, X., Latecki, L.J., Tu, Z.: Improving shape retrieval by learning graph transduction. In: Proceedings of the European Conference on Computer Vision, Marseille, France, 12–18 October 2008, pp. 788–801 (2008)

    Google Scholar 

  4. Zahn, C.T., Roskies, R.Z.: Fourier descriptors for plane closed curves. IEEE Trans. Comput. 100, 269–281 (1972)

    Article  MathSciNet  Google Scholar 

  5. Felzenszwalb, P.F., Schwartz, J.D.: Hierarchical matching of deformable shapes. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, Minneapolis, MN, USA, 17–22 June 2007, pp. 1–8 (2007)

    Google Scholar 

  6. Belongie, S., Malik, J., Puzicha, J.: Shape matching and object recognition using shape contexts. IEEE Trans. Pattern Anal. Mach. Intell. 24, 509–522 (2002)

    Article  Google Scholar 

  7. El-ghazal, A., Basir, O., Belkasim, S.: Farthest point distance: a new shape signature for Fourier descriptors. Sig. Process. Image Commun. 24, 572–586 (2009)

    Article  Google Scholar 

  8. Yang, H.S., Lee, S.U., Lee, K.M.: Recognition of 2D object contours using starting-point-independent wavelet coefficient matching. J. Vis. Commun. Image Represent. 9, 171–181 (1998)

    Article  Google Scholar 

  9. Zheng, Y., Guo, B., Chen, Z., et al.: A Fourier descriptor of 2D shapes based on multiscale centroid contour distances used in object recognition in remote sensing images. Sensors 19(3), 486 (2019)

    Article  Google Scholar 

  10. Fotopoulou, F., Economou, G.: Multivariate angle scale descriptor of shape retrieval. In: Proceedings of the SPAMEC, Cluj-Napoca, Romania, 26–28 August 2011, pp. 105–108

    Google Scholar 

  11. Chang, C.C., Hwang, S.M., Buehrer, D.J.: A shape recognition scheme based on relative distances of feature points from the centroid. Pattern Recogn. 24(11), 1053–1063 (1991)

    Article  Google Scholar 

  12. Belongie, S., Malik, J., Puzicha, J.: Shape matching and object recognition using shape contexts. IEEE Trans. Pattern Anal. Mach. Intell. 24(4), 509–522 (2002). https://doi.org/10.1109/34.993558

    Article  Google Scholar 

  13. Ling, H., Jacobs, D.W.: Shape classification using inner-distance. IEEE Trans. Pattern Anal. Mach. Intell. 29(2), 286–299 (2007)

    Article  Google Scholar 

  14. Shu, X., Wu, X.J.: A novel contour descriptor for 2D shape matching and its application to image retrieval. Image Vis. Comput. 29, 286–294 (2011)

    Article  Google Scholar 

  15. Zhang, J., Wenyin, L.: A pixel-level statistical structural descriptor for shape measure and recognition. In: 10th International Conference on Document Analysis and Recognition, pp. 386–390 (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Baolong Guo .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Li, Z., Guo, B., Ren, X., Liao, N.N. (2021). Vertical Interior Distance Ratio to Minimum Bounding Rectangle of a Shape. In: Abraham, A., Hanne, T., Castillo, O., Gandhi, N., Nogueira Rios, T., Hong, TP. (eds) Hybrid Intelligent Systems. HIS 2020. Advances in Intelligent Systems and Computing, vol 1375. Springer, Cham. https://doi.org/10.1007/978-3-030-73050-5_1

Download citation

Publish with us

Policies and ethics