introduced by Sukumar [11] and Arroyo and Ortiz [12]. In Reference [12], its link to convex analysis
[19] were noted, and these approximants were referred to as convex approximation schemes. For
Equation (1) to be a linearly precise barycentric co-ordinate or convex approximation scheme [12],
the basis functions must satisfy the following properties:
1. Ability to reproduce constant and linear functions exactly: