interpolate points of a .stl file

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Hi everyone,
I am new to Matlab,
My question is if it is possible to load a .stl file and after interpolate the points of this file in order to recreate a close surface. I attached two images to describe better the situation: Image 1 represents my imput .stl and i want to interpolate the points in order to obtain the image 2.
Any help would be appreciated.
Thanks.
Lorenzo
IMAGE 1
IMAGE 2

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