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Volume 9, Issue 3

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Algebraic Construction of Smooth Interpolants on Polygonal Domains
Elisabeth Anna Malsch
Gautam Dasgupta

Interpolants for Convex Polygons

The interpolant is constructed as a combination of the geometric measures.

Interpolants are rational functions. For example, here is the set of functions for a triangle, rectangle, skew quadrilateral, and pentagon.

Figure 3. Interpolants on a triangle, rectangle, skew quadrilateral, and pentagon.



     
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