Wedge functions for degree-\(n\) approximation over pentagonal discretization. (English) Zbl 1524.41025
Summary: Wachspress devised the concept of rational wedge basis functions to obtain linear approximation over the 2D domain discretized with help of convex polygons. In the current paper we explore the concept of interpolants for degree-\(n\) approximation over a pentagonal element of the domain discretized using pentagons.
Also, the error in approximation has been studied and it has been found that the interpolants for higher degree approximation provide a better approximation.
Also, the error in approximation has been studied and it has been found that the interpolants for higher degree approximation provide a better approximation.
MSC:
| 41A20 | Approximation by rational functions |
| 65D17 | Computer-aided design (modeling of curves and surfaces) |
Software:
MathematicaReferences:
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