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Coding 3D Connected Regions with F26 Chain Code

  • Osvaldo A. Tapia-Dueñas
  • Hermilo Sánchez-CruzEmail author
  • Hiram H. López
  • Humberto Sossa
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11289)

Abstract

There are many applications in different fields, as diverse as computer graphics, medical imaging or pattern recognition for industries, where the use of three dimensional objects is needed. By the nature of these objects, it is very important to develop thrifty methods to represent, study and store them. In this paper, a new method to encode surfaces of three-dimensional objects that are not isomorphic to the plane is developed. In the proposed method, a helical path that covers the contour is obtained and then, the Freeman F26 chain code is used to encode the helical path. In order to solve geometric problems to find optimal paths between adjacent slices, a modification of the A star algorithm was carried out. Finally, our proposed method is applied to three-dimensional objects obtained from real data.

Keywords

Voxel-based objects Chain code Three-dimensional objects Helical path 

Notes

Acknowledgements

Osvaldo A. Tapia-Dueñas was partially supported by CONACyT. H. Sánchez-Cruz thanks Universidad Autónoma de Aguascalientes, under Grant PII18-8 for the support. Hiram H. López was partially supported by CONACyT, CVU no. 268999, project “Network Codes”, and by Universidad Autónoma de Aguascalientes. H. Sossa thanks the Instituto Politécnico Nacional and CONACyT for the economical support under funds: SIP 20180730 and 65 (Fronteras de la Ciencia), respectively to undertake this research.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Osvaldo A. Tapia-Dueñas
    • 1
  • Hermilo Sánchez-Cruz
    • 1
  • Hiram H. López
    • 2
  • Humberto Sossa
    • 3
    • 4
  1. 1.Universidad Autónoma de Aguascalientes, Centro de Ciencias BásicasAguascalientesMexico
  2. 2.Department of Mathematical SciencesClemson UniversityClemsonUSA
  3. 3.Instituto Politécnico Nacional-CICMexico CityMexico
  4. 4.Tecnológico de Monterrey, Campus GuadalajaraZapopanMexico

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