How to interpolate a surface without changing the convexity

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Weitao Chen 2022-9-6

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回答： vamshi sai yele 2022-9-14

I want to smooth my 3D data surface by interpolation. It looks like this

I tried with method 'cubic' and 'akima' but these methods chang the convexity. Any method to interpolate my data without introducing the peak and valley?

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Torsten 2022-9-6

编辑：Torsten 2022-9-6

Why do you want to smoothe your surface ? In my opinion, it looks smooth enough - the isolines are very regular.

If you want to interpolate, use "interp2" on the original data.

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Answer 1

vamshi sai yele 2022-9-14

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As per my understanding you want smoothen a 3D figure without altering its behaviour.

I have tried from my side to find the solution and below are my findings. Hope you find them helpful.

To smoothen a 3-D figure, there is direct keyword ‘smooth3()’ which simply works as magic. Attached figure-1 shows a result without the keyword and figure – 2 shows after applying the smooth3() function.

Fig-1

Fig-2

The MATLAB code for the above experiment and other useful resources links have been attached below for your reference and for other techniques.

Resources-1

Resources-2

Resources-3

Hope you will find them helpful!