Bernstein Polynomials
Anandaram Mandyam N
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.
Topics & Concepts
Bernstein polynomialBézier curveMathematicsOdeAKAApplied mathematicsBasis (linear algebra)Basis functionAlgebra over a fieldCalculus (dental)Pure mathematicsComputer scienceMathematical analysisGeometryDentistryMedicineLibrary scienceAdvanced Numerical Analysis TechniquesAdvanced machining processes and optimizationAdvanced Measurement and Metrology Techniques