CWRU MAMS PhD alumnus Troy Clark has published a paper with MAMS professor David Singer in the online journal Computer-Aided Design and Applications

The paper, titled “The Trefoil Spline”, proposes a new family of curves to be used as splines. They are based on the Kiepert Trefoil, an algebraic curve of degree 6, which acts as a local minimizer for an energy functional similar to the so-called Minimum Variation Spline Curve (MVC). The MVC minimizes the integral of the squared derivative of curvature. It has the disadvantage that it is not explicitly solvable. By contrast, the trefoil is explicitly known and easily constructed. The paper establishes the key properties of the curve and illustrates examples of its use in font construction. 

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