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Deleterious stress concentrations arising at bi-material interfaces can be reduced in engineering practice by smooth interpolation of composition, microstructure, and mechanical properties.
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This enables the animation of shells via the smooth interpolation of a given set of key frame control meshes.
A cubic spline with 5 degrees of freedom essentially fits 5 piece-wise cubic polynomials over the data range to provide a smooth interpolation of the data.
The dead-zone problem in Fig. 10 was eliminated in direct closest point projection by replacing the boundary by a smooth interpolation, for example in [9,12].
Multilevel B-splines can be used for smooth interpolation or approximation of irregularly spaced samples.
We did this by replacing the conventionally used smooth interpolation in the ensemble empirical mode decomposition (EEMD) algorithm with a piecewise interpolation method.
The result plots show a smooth interpolation between the arbitrarily selected numbers of pcs for both ranked/non-ranked cases.
However, among others, the rate of net photosynthesis was approximated by a smoothing spline interpolation of measurements over whole diurnal cycles.
For observed temperatures, we used Australian National University Splines ANUSPLINN) (Hutchinson et al. 2009) of 10-km gridded daily time-series data, which were obtained by thin-plate smoothing spline interpolation of daily climate station observations while accounting for latitude, longitude, and elevation.
As a result, we obtained a smooth spatial interpolation of Smax across the ventricles except for regions immediately adjacent to the recording electrodes.
The only difference between SEMD algorithm and the conventional EMD is step A, where the first mode is extracted by smoothing instead of interpolation.
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