Skip to main content

Order Adaptive Quadrature Rule for Real Time Holography Applications

  • Conference paper
  • 2200 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4310))

Abstract

Order adaptive algorithm for real time holography applications is presented in this paper. The algorithm is based on Master-Worker parallel computation paradigm. Definite integrals required for visualization of fringes are computed using a novel order adaptive quadrature rule with an external detector defining the order of integration in real time mode. The proposed integration technique can be effectively applied in hybrid numerical-experimental techniques for analysis of micro-mechanical components.

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

Buying options

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 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. West, C.M.: Holographic Interferometry. Wiley, New York (1979)

    Google Scholar 

  2. Kobayashi, A.S.: Handbook on Experimental Mechanics, 2nd edn. SEM Bethel (1993)

    Google Scholar 

  3. Holstein, A., et al.: Hybrid Experimental-numerical Concept of Residual Stress Analysis in Laser Weldments. Experimental Mechanics 41(4), 343–350 (2001)

    Article  Google Scholar 

  4. Field, J.E., et al.: Review of Experimental Techniques for High Rate Deformation and Shock Studies. International Journal of Impact Engineering 30(7), 725–775 (2004)

    Article  Google Scholar 

  5. Ragulskis, M., Palevicius, A., Ragulskis, L.: Plotting Holographic Interferograms for Visualization of Dynamic Results from Finite-element Calculations. International Journal of Numerical Methods in Engineering 56, 1647–1659 (2003)

    Article  MATH  Google Scholar 

  6. Davis, P.J., Rabinowitz, P.: Methods of Numerical Integration. Academic Press, New York (1984)

    MATH  Google Scholar 

  7. Ragulskis, M., Ragulskis, L.: Order Adaptive Integration Rule with Equivalently Weighted Internal Nodes. Engineering Computations 23(4), 368–381 (2006)

    Article  Google Scholar 

  8. Mattson, T., Sanders, B., Massingill, B.: Patterns for Parallel Programming. Addison Wesley Professional, Reading (2004)

    Google Scholar 

  9. Nayfeh, A.H., Younis, M.I., Abdel-Rahman, E.M.: Reduced-order Models for MEMS Applications. Nonlinear Dynamics 41, 211–236 (2005)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Todor Boyanov Stefka Dimova Krassimir Georgiev Geno Nikolov

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Ragulskis, M., Saunoriene, L. (2007). Order Adaptive Quadrature Rule for Real Time Holography Applications. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70942-8_83

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-70942-8_83

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70940-4

  • Online ISBN: 978-3-540-70942-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics