On Fri, May 19, 2023 at 02:20:11PM +0200, luis vazquez wrote:
> I am working with the surface reconstruction tool of Gwyddion. From one
> image, I set a model tip (a cone with 70 degrees in slope and 8 nm of
> radius) and then I apply the reconstruction tool. What I do not understand
> is that the reconstructed image has a lower roughness than the measured one.
> In my case, this is more evident when I use 25 nm as the radius of the tip).
> In principle, the convolution of the real surface with the tip geometry
> should lead to a smoother or less rough image. Accordingly, the
> reconstructed one should be rougher than the measured one. Perhaps, I am not
> applying properly the tool.
> 
> I note that when I do the opposite, using the dilation tool, I do get an
> image with less roughness than the measured one as expected.

First, always be at least a bit distrustful about the reconstruction. It
needs to make up information which often just is not present in the
data.

Tip convolution decreases roughness (σ) only sometimes.

For a Gaussian-like rough surface the first effect of tip convolution is
in fact an increase of measured correlation length T, whereas the effect
on σ is second order. So you cannot really see any change until the tip
radius becomes large.

For a spiky surface (positive skewness γ₃) tip convolution *increases*
measured σ, usually not much but for quite a large range of tip radii.
Dilation, unreliable as it is, still kind of reverses the effect.

So, it depends.

Yeti



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