A New Approach of Constrained Interpolation Based on Cubic Hermite Splines
Keyword(s):
Suppose we have a constrained set of data and wish to approximate it using a suitable function. It is natural to require the approximant to preserve the constraints. In this work, we state the problem in an interpolating setting and propose a parameter-based method and use the well-known cubic Hermite splines to interpolate the data with a constrained spline to provide with a C 1 interpolant. Then, more smoothing constraints are added to obtain C 2 continuity. Additionally, a minimization criterion is presented as a theoretical support to the proposed study; this is performed using linear programming. The proposed methods are demonstrated with illustrious examples.
2016 ◽
Vol 37
(4)
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pp. 495-510
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2018 ◽
Vol 7
(4.10)
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pp. 360
1969 ◽
Vol 8
(4)
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pp. 496-501
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Keyword(s):
2019 ◽
Vol 15
(3)
◽
pp. 296
2014 ◽
Vol 8
◽
pp. 1311-1321
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