Parallel monotone spline interpolation and approximation on GPUs

Beliakov, Gleb and Liu, Shaowu 2014, Parallel monotone spline interpolation and approximation on GPUs. In Couturier, Raphael (ed), Designing scientific applications on GPUs, CRC Press, Boca Raton, Flo., pp.295-310.

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Title Parallel monotone spline interpolation and approximation on GPUs
Author(s) Beliakov, GlebORCID iD for Beliakov, Gleb
Liu, Shaowu
Title of book Designing scientific applications on GPUs
Editor(s) Couturier, Raphael
Publication date 2014
Series Chapman & Hall/CRC numerical analysis and scientific computing
Chapter number 12
Total chapters 20
Start page 295
End page 310
Total pages 16
Publisher CRC Press
Place of Publication Boca Raton, Flo.
Summary 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 flexibility in modeling different 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.
ISBN 9781466571624
Language eng
Field of Research 109999 Technology not elsewhere classified
Socio Economic Objective 970110 Expanding Knowledge in Technology
HERDC Research category B1 Book chapter
Copyright notice ©2013, Taylor & Francis
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