X-splines: a spline model designed for the end-user
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Jordi Gutiérrez Hermoso will present Blanc and Schlick's "X-splines: a spline model designed for the end-user". (http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.44.5770&rep=rep1&type=pdf) A classic computational geometry paper for a change, and there will be code. I think the focus on making these splines "user friendly" makes this paper especially interesting.
It's a shame I can't track down their other paper "X-Splines: Some Additional Results" (reference [5]) because it appears to discuss some other details (if anyone has a copy, please post a link in the comments).
Thanks to Evolving Web for hosting us this time!

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X-splines: a spline model designed for the end-user