Data approximation from a scattered set of points (nodes) in Rd is required in many applications:
computer graphics and visualization, image processing, regression models, supervised learning,
and finite element and meshfree methods to name a few. In this paper, we focus on the construction
of approximation schemes within the convex hull of a set of nodes—convex polygons (n-gons)
and scattered set of nodes are considered. Barycentric co-ordinates on irregular polygons are of