The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Bernstein Polynomials: Properties and Applications to Bezier Curves, B-Splines and Solution of Boundary Value Problems
Open accessAbstract
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.
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Applications of B-splines in atomic and molecular physics
Bachau, H., Cormier, E., Decleva, P., Hansen, J. E., & Martín, F. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/12/205 · Cited by 709
Cited by
Luis, C. E., Vukosavljev, M., & Schoellig, A. P. (2020) · IEEE Robotics and Automation Letters · doi:10.1109/lra.2020.2964159 · Cited by 274
Weideman, H. J., Stewart, C. V., Parham, J. R., Holmberg, J., Flynn, K., Calambokidis, J., Paul, D. B., Bedetti, A., Henley, M., Lepirei, J., et al. (2020) · 2020 IEEE Winter Conference on Applications of Computer Vision (WACV) · doi:10.1109/wacv45572.2020.9093266 · Cited by 32
Metadata
- Authors
- Mandyam N, A.
- Venue
- Mapana Journal of Sciences
- Publisher
- Christ University Bangalore
- Published
- 2021-01-01
- Volume
- 20
- Issue
- 1
- ISSN
- 0975-3303 (ISSN-L)
- OpenAlex
- W3135109640
- Cited by
- 357
- References
- 1
- FWCI
- 15.45
- Type
- journal article
- Language
- en
- Open access
- diamond
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- Mandyam N, A. (2021). Bernstein Polynomials: Properties and Applications to Bezier Curves, B-Splines and Solution of Boundary Value Problems. Mapana Journal of Sciences. https://doi.org/10.12723/mjs.56.5
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