Skip to main content
Log in

A modified Bezier curve technique for automatic reconstruction of broken contour lines extracted from a poor-quality topographic map

  • Published:
Multimedia Tools and Applications Aims and scope Submit manuscript

Abstract

The various essential morphological land features are represented in a scale-governed map called a topographic sheet. One of the crucial features presented in the topographic sheet often used in Geographical Information System (GIS) based applications is contour lines. Contour lines are non-intersecting lines formed after joining points which are at the same elevation from a given reference point. To elaborate on contour lines, these lines may be of different types, dictated by various geographical landforms such as enclosures (such as lakes, glaciers, etc.), linear features (such as drainage networks, geomorphological landscape. Etc.), islands, eyes and many more. A suitable purpose-specific digitization process is to be implemented for extracting the identified features for use in geographical applications. It can be achieved either through a traditional manual digitization approach or a computer-aided semi-automatic or fully-automatic digitization process may be conceived leveraging advancement in technological support. The manual approach demands considerable effort, execution time, digitization capabilities and attention making it relatively ineffective and inefficient. On the contrary, automatic digitization calls for greater reliance on color segmentation techniques which if implemented incorrectly or imprecisely, the quality of the result will be tremendously compromised. One of the pertinent problems often observed in the segmented image is the loss of continuity in contour lines. This may be circumstantially due to overlapping features, improper segmentation, incomplete information content, incomplete information extraction and the presence of additional details like elevation values. The solution to the identified problem should be motivated toward designing an integrity-preserving reconnection mechanism that is apt, computationally simple and effective. Therefore, this research initiative is motivated towards the conception and implementation of a technique for reconnection of broken contour lines to facilitate continuity of contour lines relying on concepts such as the Sign of Gradient (SG), Euclidean Distance (ED) and modified Bezier Curve (BC) drawing technique.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Amenta N, Bern M, Eppstein D (1998) The crust and the Beta-skeleton: combinatorial curve reconstruction. Graph Models Image Process 60(2):125–135

    Article  Google Scholar 

  2. Amirkhani D, Bastanfard A (2021) An objective method to evaluate exemplar-based in painted images quality using Jaccard index. Multimed Tools Appl 80:26199–26212. https://doi.org/10.1007/s11042-021-10883-3

    Article  Google Scholar 

  3. Bhuiyan MA, Hama H (1997) An accurate method for finding the control points of Bezier curves. Mem Fac Eng Osaka City Univ 38:175–181

    Google Scholar 

  4. Chengming L, Peipei G, Pengda W, Xiaoli L (2018) Extraction of Terrain Feature Lines from Elevation Contours Using a Directed Adjacent Relation Tree. Int J Geo-Inf:1–15. https://doi.org/10.3390/ijgi7050163

  5. Dmitrieva (November 13, 2019) Complex Method of Reconstruction of Contour Lines. AIP Conf Proc 2172:080005:1–080005:5. https://doi.org/10.1063/1.5133563

    Article  Google Scholar 

  6. Du J, Zhang Y (2004) Automatic extraction of contour lines from scanned topographic map. Geoscience and Remote Sensing Symposium,IGARSS '04, Proceedings, IEEE International, Vol. 5, pp. 2886–2888

  7. Gul S, Khan MF (2010) Automatic Extraction of Contour Lines from Topographic Maps. 2010 International conference on digital image computing: techniques and applications, Sydney, NSW, pp. 593–598.

  8. Hancer E, Samet R, Karaboga D (2014) A hybrid method to the reconstruction of contour lines from scanned topographic maps. IEEE International Symposium on Industrial Electronics. 930–933. https://doi.org/10.1109/ISIE.2014.6864736

  9. Hu G, Wu J, Qin X (2018) A novel extension of the Bézier model and its applications to surface modeling. Adv Eng Softw 125:27–54

    Article  Google Scholar 

  10. India and Pakistan AMS Topographic Maps, [Online] (n.d.) Available at: https://legacy.lib.utexas.edu/maps/ams/india/. Accessed 6/04/2021

  11. Joy KI (1999) Breshenham’s algorithm. Visualization and Graphics Research Group Department of Computer Science University of California, Davis

  12. Khotanzad A, Zink E (Jan. 2003) Contour line and geographic feature extraction from USGS color topographical paper maps. IEEE Trans Pattern Anal Mach Intell 25(1):18–31

    Article  Google Scholar 

  13. Li H, Liu J, Zhou X (2018) Intelligent map reader: a framework for topographic map understanding with deep learning and gazetteer. IEEE Open Access J:25363–25376. https://doi.org/10.1109/ACCESS.2018.2823501

  14. Li C, Liu X, Wu W, Hao Z (2019) A method for broken contour lines based on similar contours. ISPRS Int J Geo Inf 8(8):1–14. https://doi.org/10.3390/ijgi8010008

    Article  Google Scholar 

  15. Mansourifar H, Bastanfard A (2011) Fast Conic Spline Data Fitting of Noise-Free Data Points. 2011 Eighth international conference computer graphics, Imaging and Visualization, pp. 59–64, https://doi.org/10.1109/CGIV.2011.33

  16. Mansourifar H, Bastanfard A (2011) A Novel Practical Approach for Weight Manipulation of Conic Splines. 2011 Eighth international conference computer graphics, Imaging and Visualization, pp. 65–69, https://doi.org/10.1109/CGIV.2011.23.

  17. Mansourifar H, Dehshibi MM, Bastanfard A (2011) Shoulder Point Detection: A Fast Geometric Data Fitting Algorithm. 2011 International Conference on Cyberworlds, pp. 152–159, https://doi.org/10.1109/CW.2011.26

  18. Nikam G, Ghosh J (2014) Information extraction from topographic map using colour and shape analysis. Sadhana. 39:1095–1117. https://doi.org/10.1007/s12046-014-0270-5

    Article  Google Scholar 

  19. Oka S, Garg A, Varghese K (March 2012) Vectorization of contour lines from scanned topographic maps. Autom Constr 22:192–202. https://doi.org/10.1016/j.autcon.2011.06.017

    Article  Google Scholar 

  20. Parker JR (1997) Algorithms for image processing and computer vision. Wiley Computer Publishing, New York

    Google Scholar 

  21. Pouderoux J, Spinello S (2007) Global Contour Lines Reconstruction in Topographic Maps. In: Proceedings of the Ninth international Conference on Document Analysis and Recognition, Vol. 02, ICDAR, IEEE Computer Society, Washington, DC, pp. 779–783

  22. Pradhan MP, Ghose MK, Rai PS, Mukherjee N (2013) Knowledge based contour line reconnection techniques. Int J Comput Appl 65(9):37–34

    Google Scholar 

  23. Samet R, Askerbeyli INA, Varol C (2010) An Implementation of Automatic Contour Line Extraction From Scanned Digital Topographic Maps. Appl Comput Math 9(1):116–127

    MathSciNet  MATH  Google Scholar 

  24. San LM, Yatim SM, Sheriff NAM, Isrozaidi N (2004) Extracting contour lines from scanned topographic maps. Proceedings. International Conference on Computer Graphics, Imaging and Visualization, 2004. CGIV 2004., Penang, Malaysia, pp. 187–192

  25. Sánchez-Reyes J (2020) Comment on “Defining a curve as a Bezier curve”. J Taibah Univ Sci 14(1):849–850

    Article  Google Scholar 

  26. Soycan A, Soycan M (2009) Digital elevation model production from scanned topographic contour maps via thin plate spline interpolation. Arab J Sci Eng Sci 34(1A):121–134

    Google Scholar 

  27. Spinello S, Guitton P (2004) Contour Lines Recognition from Scanned Topographic Maps. J Winter School Comput Graph 12(1–3)

  28. Wang F, Liu P, Yang Y, Wei H, An X (2018) A novel method for reconstructing broken contour lines extracted from scanned topographic maps. Proc Int Cartogr Assoc 1:121–127. https://doi.org/10.5194/ica-proc-1-121-2018

    Article  Google Scholar 

  29. Xin D, Zhou X, Zheng H (2006) Contour Line Extraction from Paper-based Topographic Maps” , ISSN 1746–7659, England, UK. J Inf Comput Sci 1(5):275–283

    Google Scholar 

  30. Xu B, Chen J, Yao M (n.d.) Identification of Contour Lines from Average-Quality Scanned Topographic Maps, School of Earth Sciences and Resources, China University of Geosciences (Beijing), Beijing Key Laboratory of Development and Research for Land Resources Information, Beijing, Received 1 September 2015; Revised 11 December 2015; Accepted 24 December 2015

  31. Yadav S, Indu J (2016) Estimation of Vertical Accuracy of Digital Elevation Models over Complex Terrains of Indian Subcontinent, IEEE International Geoscience and Remote Sensing Symposium (IGARSS), IEEE Xplore, pp. 6036–6039, https://doi.org/10.1109/IGARSS.2016.7730577

  32. Zhang TY, Suen CY (March, 1984) “A fast parallel algorithm for thinning digital patterns”, research contributions image processing and computer vision. Commun ACM 27(3):236–239

    Article  Google Scholar 

Download references

Availability of Data

The datasets generated used during the current study are available from the corresponding author on reasonable request.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ashis Pradhan.

Ethics declarations

Competing interests

The authors declare that they have no competing interests.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pradhan, A., Pradhan, M.P. A modified Bezier curve technique for automatic reconstruction of broken contour lines extracted from a poor-quality topographic map. Multimed Tools Appl 82, 18299–18325 (2023). https://doi.org/10.1007/s11042-022-13912-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11042-022-13912-x

Keywords

Navigation