Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 86, 2009 - Issue 3
Submit an article Journal homepage
233
Views
23
CrossRef citations to date
0
Altmetric
Section B

Monotone piecewise rational cubic interpolation

Malik Zawwar Hussain Department of Mathematics, University of the Punjab, Lahore, PakistanCorrespondence[email protected]
&
Muhammad Sarfraz Department of Information and Computer Science, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia
Pages 423-430 | Received 06 Jun 2006, Accepted 25 Jul 2007, Published online: 21 Feb 2009

References

  • Butt , S. 1991 . “ Shape preserving curves and surfaces for computer graphics ” . Leeds, , England : University of Leeds . Ph.D. Thesis, School of Computer Studies
  • Delbourgo , R. and Gregory , J. A. 1985 . Shape preserving piecewise rational interpolation . SIAM J. Stat. Comput. , 6 : 967 – 976 .
  • Fahr , R. D. and Kallay , M. 1992 . Monotone linear rational spline interpolation . Comput. Aided Geomet. Design , 9 : 313 – 319 .
  • Fritsch , F. N. and Butland , J. 1984 . A method for constructing local monotone piecewise cubic interpolants . SIAM J. Sci. Stat. Comput. , 5 : 300 – 304 .
  • Fritsch , F. N. and Carlson , R. E. 1980 . Monotone piecewise cubic interpolation . SIAM J. Numer. Anal. , 17 ( 2 ) : 238 – 246 .
  • Gregory , J. R. and Delbourgo , R. 1983 . Piecewise rational quadratic interpolation to monotonic data . SIAM J. Numer. Anal. , 3 : 141 – 152 .
  • Gregory , J. R. and Sarfraz , M. 1990 . A rational spline with tension . Comput. Aided Geomet. Design , 7 : 1 – 13 .
  • Higham , D. J. 1992 . Monotone piecewise cubic interpolation with applications to ODE plotting . J. Comput. Appl. Math. , 39 : 287 – 294 .
  • Hussain , M. Z. and Hussain , M. 2007 . Visualization of data preserving monotonicity . Appl. Math. Comput. , 190 : 1353 – 1364 .
  • Sarfraz , M. 1992 . AC 2 rational cubic spline alternative to the NURBS . Comput. Graph. , 16 ( 1 ) : 69 – 77 .
  • Sarfraz , M. 2000 . A rational cubic spline for the visualization of monotonic data . Comput. Graph. , 24 : 509 – 516 .
  • Sarfraz , M. 2003 . A rational cubic spline for the visualization of monotonic data:an alternate approach . Comput. Graph. , 27 : 107 – 121 .
  • Sarfraz , M. and Hussain , M. Z. 2006 . Data visualization using rational spline interpolation . J. Comput. Appl. Math. , 189 : 513 – 525 .
  • Sarfraz , M. , Butt , S. and Hussain , M. Z. 2001 . Visualization of shaped data by a rational cubic spline interpolation . Comput. Graph. , 25 ( 5 ) : 833 – 845 .
  • Schumaker , L. L. 1983 . On shape preserving quadratic spline interpolation . SIAM J. Num. Anal. , 20 : 854 – 864 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.