Skip to main content

An Algorithm to Solve 3D Guard Zone Computation Problem

  • Chapter
  • First Online:
Book cover Advanced Computing and Systems for Security

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 396))

Abstract

The guard zone computation problem finds vast applications in the field of VLSI physical design automation and design of embedded systems, where one of the major purposes is to find an optimized way to place a set of 2D blocks on a chip floor. Each (group of) circuit component(s) C i is associated with a parameter δ i , such that a minimum clearance zone of width δ i is to be maintained around C i . In this paper, we introduce the problem in its 3D version. Considering 3D simple solid objects makes the guard zone computation problem more complex and helps to solve many real life problems like VLSI physical design, Geographical Information System, motion control in robotics, and embedded systems. In this paper, we develop an algorithm to compute guard zone of a 3D solid object detecting and excluding overlapped regions among the guard zonal regions, if any.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Heywood, I., Cornelius, S., Carver, S.: An Introduction to Geographical Information Systems. Addison Wesley Longman, New York (1998)

    Google Scholar 

  2. Pottmann, H., Wallner, J.: Computational Line Geometry. Springer, Berlin (1997)

    MATH  Google Scholar 

  3. Lee, I.-K., Kimand, M.-S., Elber, G.: Polynomial/rational approximation of minkowski sum boundary curves (Article No.: IP970464). Graph. Models Image Process. 60(2), 136–165 (1998)

    Article  Google Scholar 

  4. Mehlhorn, K.: Data Structures and Algorithms 3: Multi-Dimensional Searching and Computational Geometry. Springer (1984); Bajaj, C., Kim, M.-S.: Generation of configuration space obstacles: the case of a moving algebraic curves. Algorithmica 4(2), 157–172 (1989)

    Google Scholar 

  5. Chazelle, B.: Triangulating a simple polygon in linear time. Discrete Comput. Geom. 6, 485–524 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  6. Mehera, R., Chatterjee, S., Pal, R.K., A time-optimal algorithm for guard zone problem. In: Proceedings of 22nd IEEE Region 10 International Conference on Intelligent Information Communication Technologies for Better Human Life (IEEE TENCON 2007), CD: Session: ThCP-P.2 (Computing) (Four pages). Taipei (2007)

    Google Scholar 

  7. Mehera, R., Chatterjee, S., Pal, R.K.: Yet another linear time algorithm for guard zone problem. Icfai J. Comput. Sci. II(3), 14–23 (2008)

    Google Scholar 

  8. Mehera, R., Chakraborty, A., Datta, P., Pal, R.K.: An innovative approach towards detection and exclusion of overlapped regions in guard zone computation. In: Proceedings of 3rd International Conference on Computer, Communication, Control and Information Technology (C3IT 2015), pp. 1–6. Academy of Technology, West Bengal (2015)

    Google Scholar 

  9. Hwang, K., Briggs, F.A.: Computer Architecture and Parallel Processing. McGraw-Hill, New York (1984)

    MATH  Google Scholar 

  10. Grewal, B.S.: Higher Engineering Mathematics, 39th edn. Khanna Publishers, Delhi India (2005). ISBN 81-7409-195-5

    Google Scholar 

  11. Chakravorty, J.G., Ghosh, P.R.: Analytical Geometry and Vector Analysis. U.N. Dhur and Sons Private Ltd., Kolkata (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ranjan Mehera .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer India

About this chapter

Cite this chapter

Mehera, R., Datta, P., Chakraborty, A., Pal, R.K. (2016). An Algorithm to Solve 3D Guard Zone Computation Problem. In: Chaki, R., Cortesi, A., Saeed, K., Chaki, N. (eds) Advanced Computing and Systems for Security. Advances in Intelligent Systems and Computing, vol 396. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2653-6_18

Download citation

  • DOI: https://doi.org/10.1007/978-81-322-2653-6_18

  • Published:

  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2651-2

  • Online ISBN: 978-81-322-2653-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics