How do I remove local noise in the data and interpolate them based their neighboring values?

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Hello,
The following is a heatmap of my 2D data Z=F(x,t), and the dots in the blue areas are noise.
I want to interpolate them from the neighboring values without modifying the rest of the data.
Is there any function that you could suggest for this purpose?
Thanks,
Saeed
']TREs.jpg

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