Skip to main content
SpringerLink
Log in

An analytical technique for 3-dimensional interpolation

  • Scientific Notes
  • Published:
BIT Numerical Mathematics Aims and scope Submit manuscript

Abstract

Given the values of a 3-dimensional function at unevenly spaced grid points on the grid structure of a channel, we describe a new analytical algorithm to determine the function value at an arbitrary point inside the channel. This algorithm has been implemented on a Univac 1100/81 computer in PL/I.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Akima, Algorithm 433:Interpolating and smooth curve fitting based on local procedures, Comm. of ACM 15, 10 (1972), 914–918.

    Article  Google Scholar 

  2. H. Akima,A new method of interpolation and smooth curve fitting based on local procedures, Journal of ACM 17, 4 (1970), 589–602.

    Article  Google Scholar 

  3. H. Akima,A method of bivariate interpolation and fitting based on smooth surface local procedures, Comm. of ACM 17, 1 (1974), 18–20.

    Article  Google Scholar 

  4. H. Akima, Algorithm 474:Bivariate interpolation and smooth surface fitting based on local procedures, Comm. of ACM 17, 1 (1974), 26–31.

    Article  Google Scholar 

  5. T. N. E. Grenville,Spline functions, interpolation and numerical quadrature. InMathematical Methods for Digital Computers, Vol. 2, A. Ralston and H. S. Wilf (eds.), Wiley, New York (1967).

    Google Scholar 

  6. F. B. Hildebrand,Introduction to Numerical Analysis, McGraw Hill, New York (1956).

    Google Scholar 

  7. J. K. Navlakha,A new technique for 3-dimensional interpolation, Florida International University Tech. Report, Dept. of Mathematical Sciences (1983).

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Florida International University, 33199, Miami, Florida, USA

    Jainendra K. Navlakha

Authors
  1. Jainendra K. Navlakha
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Navlakha, J.K. An analytical technique for 3-dimensional interpolation. BIT 24, 119–122 (1984). https://doi.org/10.1007/BF01934523

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01934523

Keywords

Search

Navigation