Legendre-Bernstein basis transformations

By Rida T. Farouki. 2000

98 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Vision and Pattern Recognition, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/81edc9c952327a442aef261317f31e0f44583196

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Abedallah M. Rababah
2. Rida T. Farouki
3. A. Yıldırım
4. Kourosh Parand
5. Jamal Amani Rad
6. Saeed Kazem
7. Ana Marco
8. José‐Javier Martínez

In Computer Vision and Pattern Recognition

1. Abedallah M. Rababah
2. Ana Marco
3. José‐Javier Martínez

In Numerical Analysis

1. Abedallah M. Rababah
2. A. Yıldırım
3. Kourosh Parand
4. Rida T. Farouki
5. Jamal Amani Rad
6. Saeed Kazem
7. Malihe Shaban
8. Ali H. Bhrawy

Citations in the corpus

• Transformation of Chebyshev–Bernstein Polynomial Basis (2003, background): “Comparisons In [4], the condition numbers of the transformation matrices M that map the Bernstein and Legendre polynomials into each other satisfy”
• The Bernstein polynomial basis: A centennial retrospective (2012, background): “The stability of transformations between the Bernstein and other bases has been studied by several authors [44, 75, 78, 109, 133].”
• Numerical solution of fractional differential equations with a Tau method based on Legendre and Bernstein polynomials (2014, background): “Transformation matrices between Legendre and Bernstein polynomials Lemma 1 ([40]) The shifted Legendre polynomial Lk.”