Interpolating function with monotonic decresing first derivative

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Kim Jeong Min 2018-10-17

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评论： Kim Jeong Min 2018-10-17

采纳的回答： Bruno Luong

Hello, everyone.

I want to find an interpolating function with monotonic decreasing first derivative as shown in the figure.

The black points are the data and the red line is the interpolating function I want to get.

The only condition of interpolating function is: dY/dX should monotonic decreasing .

Is their any interpolating function and solve this problem in MATLAB??

Thanks for any helpful ideas.

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Torsten 2018-10-17

ok, fitting ...

Kim Jeong Min 2018-10-17

编辑：Kim Jeong Min 2018-10-17

The purpose of this project is making discontinuous data become continuous. So, I think both options are acceptable.

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采纳的回答

Bruno Luong 2018-10-17

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You can use PCHIP, either in the toolbox or as option of INTERP1 for shape-preserving interpolation.

For fitting you might take a look at my BSFK tool or John d'Errico SLM.

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Kim Jeong Min 2018-10-17

Thank you for your solution. I realized the interpolating method must pass the data which is not I want. I think I have to try fitting procedure through your opinion.

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