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PARTIAL DERIVATIVE EFFECTS IN TWO-DIMENSIONAL SPLINE FUNCTION NODES

Year 2016, Volume: 4 Issue: 2, 10 - 16, 15.10.2016

Abstract

One of the methods is two-dimensional spline functions for to create geometrical model of surface. In this study Eligibility of partial derivatives values for each node was examined. These nodes are projection of creation aimed surface. Created effects by the chosen values were evaluated. The results of the application example was provided with a computer software developed.

References

  • [1] A.Bulgak and D.Eminov, Graphics Constructor2.0, Selcuk Journ. Appl. Math., Vol:4, No.1 (2003), 42-57.
  • [2] A.Bulgak and D.Eminov, Cauchy Solver, Selcuk Journ. Appl. Math., Vol:4, No.2 (2003), 13-22.
  • [3] Rogers D.F, Adams J.A., Mathematical Elements for Computer Graphics, McGraw-Hill Publishing, New York, 1990.
  • [4] H. Bulgak and D.Eminov, Computer dialogue system MVC, Selcuk Journ. Appl. Math., Vol:2, No.2 (2001), 17-38.
  • [5] Bartels R.H., Beatty J.C., Barsky B.A., An Introduction To Splines For Use in Computer Graphis and Geometric Modeling, Morgan Kaufmann Publishers, New York 1987.
  • [6] I.J. Schoenberg, Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions, Quart. Appl. Math., Vol:4 (1946), 45-99 and 112-141.
  • [7] Schumaker L.L., Spline Functions Basic Theory, Cambridge Mathematical Library, Cambridge University Press, 2007.
  • [8] O. Sinan, Two Dimensional Spline Functions, PhD thesis in Math., Selcuk Universty, 2008, Konya, Turkey.
  • [9] O. Sinan and A. Bulgak, Visualisation of Cauchy problem solution for linear t-Hyperbolic PDE, Konuralp Journal of Mathematics, Vol:4, No:1 (2016), 193-202
  • [10] Oxford English Dictionary Oxford University Press, London, 2005
Year 2016, Volume: 4 Issue: 2, 10 - 16, 15.10.2016

Abstract

References

  • [1] A.Bulgak and D.Eminov, Graphics Constructor2.0, Selcuk Journ. Appl. Math., Vol:4, No.1 (2003), 42-57.
  • [2] A.Bulgak and D.Eminov, Cauchy Solver, Selcuk Journ. Appl. Math., Vol:4, No.2 (2003), 13-22.
  • [3] Rogers D.F, Adams J.A., Mathematical Elements for Computer Graphics, McGraw-Hill Publishing, New York, 1990.
  • [4] H. Bulgak and D.Eminov, Computer dialogue system MVC, Selcuk Journ. Appl. Math., Vol:2, No.2 (2001), 17-38.
  • [5] Bartels R.H., Beatty J.C., Barsky B.A., An Introduction To Splines For Use in Computer Graphis and Geometric Modeling, Morgan Kaufmann Publishers, New York 1987.
  • [6] I.J. Schoenberg, Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions, Quart. Appl. Math., Vol:4 (1946), 45-99 and 112-141.
  • [7] Schumaker L.L., Spline Functions Basic Theory, Cambridge Mathematical Library, Cambridge University Press, 2007.
  • [8] O. Sinan, Two Dimensional Spline Functions, PhD thesis in Math., Selcuk Universty, 2008, Konya, Turkey.
  • [9] O. Sinan and A. Bulgak, Visualisation of Cauchy problem solution for linear t-Hyperbolic PDE, Konuralp Journal of Mathematics, Vol:4, No:1 (2016), 193-202
  • [10] Oxford English Dictionary Oxford University Press, London, 2005
There are 10 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Oğuzer Sinan This is me

Publication Date October 15, 2016
Submission Date January 5, 2016
Acceptance Date April 14, 2016
Published in Issue Year 2016 Volume: 4 Issue: 2

Cite

APA Sinan, O. (2016). PARTIAL DERIVATIVE EFFECTS IN TWO-DIMENSIONAL SPLINE FUNCTION NODES. Konuralp Journal of Mathematics, 4(2), 10-16.
AMA Sinan O. PARTIAL DERIVATIVE EFFECTS IN TWO-DIMENSIONAL SPLINE FUNCTION NODES. Konuralp J. Math. October 2016;4(2):10-16.
Chicago Sinan, Oğuzer. “PARTIAL DERIVATIVE EFFECTS IN TWO-DIMENSIONAL SPLINE FUNCTION NODES”. Konuralp Journal of Mathematics 4, no. 2 (October 2016): 10-16.
EndNote Sinan O (October 1, 2016) PARTIAL DERIVATIVE EFFECTS IN TWO-DIMENSIONAL SPLINE FUNCTION NODES. Konuralp Journal of Mathematics 4 2 10–16.
IEEE O. Sinan, “PARTIAL DERIVATIVE EFFECTS IN TWO-DIMENSIONAL SPLINE FUNCTION NODES”, Konuralp J. Math., vol. 4, no. 2, pp. 10–16, 2016.
ISNAD Sinan, Oğuzer. “PARTIAL DERIVATIVE EFFECTS IN TWO-DIMENSIONAL SPLINE FUNCTION NODES”. Konuralp Journal of Mathematics 4/2 (October 2016), 10-16.
JAMA Sinan O. PARTIAL DERIVATIVE EFFECTS IN TWO-DIMENSIONAL SPLINE FUNCTION NODES. Konuralp J. Math. 2016;4:10–16.
MLA Sinan, Oğuzer. “PARTIAL DERIVATIVE EFFECTS IN TWO-DIMENSIONAL SPLINE FUNCTION NODES”. Konuralp Journal of Mathematics, vol. 4, no. 2, 2016, pp. 10-16.
Vancouver Sinan O. PARTIAL DERIVATIVE EFFECTS IN TWO-DIMENSIONAL SPLINE FUNCTION NODES. Konuralp J. Math. 2016;4(2):10-6.
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