Parallel monotone spline interpolation and approximation on GPUs

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Designing Scientific Applications on GPUs, 2013, pp. 295 - 310
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© 2014 by Taylor & Francis Group, LLC. Monotonicity preserving interpolation and approximation have received substantial attention in the last thirty years because of their numerous applications in computer aided-design, statistics, and machine learning [9, 10, 19]. Constrained splines are particularly popular because of their exibility in modeling diffierent geometrical shapes, sound theoretical properties, and availability of numerically stable algorithms [9,10,26]. In this work we examine parallelization and adaptation for GPUs of a few algorithms of monotone spline interpolation and data smoothing, which arose in the context of estimating probability distributions.
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