- Published
- 2021-01-01
- Venue
- Mapana Journal of Sciences, vol. 20, no. 1
- Cited by
- 357
- Open access
- Yes, diamond
- DOI
- 10.12723/mjs.56.5
Abstract
Bernstein polynomials (aka, B-polys) have excellent properties allowing them to be used as basis functions in many applications of physics. In this paper, a brief tutorial description of their properties is given and then their use in obtaining B-polys, B-splines or Basis spline functions, Bezier curves and ODE solution curves, is computationally demonstrated. An example is also described showing their application to solving a fourth-order BVP relating to the bending at the free end of a cantilever.
Cite this paper
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- APA 7
N, A. M. (2021). Bernstein Polynomials. Mapana Journal of Sciences, 20(1). https://doi.org/10.12723/mjs.56.5
- MLA 9
N, Anandaram Mandyam. "Bernstein Polynomials." Mapana Journal of Sciences, vol. 20, no. 1, 2021, https://doi.org/10.12723/mjs.56.5.
- Chicago
N, Anandaram Mandyam. "Bernstein Polynomials." Mapana Journal of Sciences 20, no. 1 (2021). https://doi.org/10.12723/mjs.56.5.
- GOST
N A. M. Bernstein Polynomials // Mapana Journal of Sciences. — 2021. — Vol. 20, № 1. — URL: https://doi.org/10.12723/mjs.56.5
- BibTeX
@article{n2021bernstein, title = {{Bernstein Polynomials}}, author = {Anandaram Mandyam N}, journal = {Mapana Journal of Sciences}, year = {2021}, volume = {20}, number = {1}, doi = {10.12723/mjs.56.5}, url = {https://doi.org/10.12723/mjs.56.5} }- RIS
TY - JOUR AU - N, Anandaram Mandyam TI - Bernstein Polynomials JO - Mapana Journal of Sciences VL - 20 IS - 1 PY - 2021 DA - 2021/01/01 DO - 10.12723/mjs.56.5 UR - https://doi.org/10.12723/mjs.56.5 ER -