Jacobi-Bernstein Basis Transformation

Abedallah Rababah
2004 Computational Methods in Applied Mathematics  
In this paper we derive the matrix of transformation of the Jacobi polynomial basis form into the Bernstein polynomial basis of the same degree n and vice versa. This enables us to combine the superior least-squares performance of the Jacobi polynomials with the geometrical insight of the Bernstein form. Application to the inversion of the Bézier curves is given. 2000 Mathematics Subject Classification: 41A10; 33C45; 65D17.
doi:10.2478/cmam-2004-0012 fatcat:clukeljx5jdffox5wfgrkqbepu