@article{(Open Science Index):https://publications.waset.org/pdf/10010689,
	  title     = {Fast and Efficient Algorithms for Evaluating Uniform and Nonuniform Lagrange and Newton Curves},
	  author    = {Taweechai Nuntawisuttiwong and  Natasha Dejdumrong},
	  country	= {},
	  institution	= {},
	  abstract     = {Newton-Lagrange Interpolations are widely used in
numerical analysis. However, it requires a quadratic computational
time for their constructions. In computer aided geometric design
(CAGD), there are some polynomial curves: Wang-Ball, DP and
Dejdumrong curves, which have linear time complexity algorithms.
Thus, the computational time for Newton-Lagrange Interpolations
can be reduced by applying the algorithms of Wang-Ball, DP and
Dejdumrong curves. In order to use Wang-Ball, DP and Dejdumrong
algorithms, first, it is necessary to convert Newton-Lagrange
polynomials into Wang-Ball, DP or Dejdumrong polynomials. In
this work, the algorithms for converting from both uniform and
non-uniform Newton-Lagrange polynomials into Wang-Ball, DP and
Dejdumrong polynomials are investigated. Thus, the computational
time for representing Newton-Lagrange polynomials can be reduced
into linear complexity. In addition, the other utilizations of using
CAGD curves to modify the Newton-Lagrange curves can be taken.},
	    journal   = {International Journal of Computer and Information Engineering},
	  volume    = {13},
	  number    = {8},
	  year      = {2019},
	  pages     = {440 - 444},
	  ee        = {https://publications.waset.org/pdf/10010689},
	  url   	= {https://publications.waset.org/vol/152},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 152, 2019},