3 papers
cs.MS2021
Automatic Generation of Interpolants for Lattice Samplings: Part II -- Implementation and Code Generation
Joshua Horacsek, Usman Alim
In the prequel to this paper, we presented a systematic framework for processing spline spaces. In this paper, we take the results of that framework and provide a code generation p…
cs.MS2021
Automatic Generation of Interpolants for Lattice Samplings: Part I -- Theory and Analysis
Joshua Horacsek, Usman Alim
Interpolation is a fundamental technique in scientific computing and is at the heart of many scientific visualization techniques. There is usually a trade-off between the approxima…
math.NA2016
Fast and exact evaluation of box splines via the PP-form
Joshua Horacsek, Usman Alim
For the class of non-degenerate box splines, we prove that these box splines are piecewise polynomial. This is not a new result, it is in fact a well known and useful property of b…