I want to make a 2D surface which exactly follows the undulations of another surface. If the given surface looks like the attached one; how can I create another surface which exactly covers it without leaving any gap between their point of contact? Specifically I have a 2D surface which needs to become the top face of a cube that results in a 3D volume with undulations on top. The original starting image can then be discarded. 
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$\begingroup$ with a Shrinkwrap modifier perhaps? You could also bake the heights and use a Displace modifier? Please give more details? $\endgroup$– moonbootsOct 25, 2020 at 8:26
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$\begingroup$ Why do you need that? Are you trying to map an image? Then just need a texture. Please explain further. Edit your question to add more information. $\endgroup$– susuOct 25, 2020 at 15:56
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$\begingroup$ I edited my question. Please have a look. $\endgroup$– anildadjOct 26, 2020 at 3:23
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