A short note on a Bernstein-Bezier basis for the pyramid [article]

Jesse Chan, T. Warburton
2015 arXiv   pre-print
We introduce a Bernstein-Bezier basis for the pyramid, whose restriction to the face reduces to the Bernstein-Bezier basis on the triangle or quadrilateral. The basis satisfies the standard positivity and partition of unity properties common to Bernstein polynomials, and spans the same space as non-polynomial pyramid bases in the literature.
arXiv:1508.05609v1 fatcat:57762xhbfbhl7lgmqr5qemw3tm