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Shader value remap - Blend Falloff

I would like to know if there's a way to remap a value that goes from 0 to 1 constantly like this.

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Into those values (those are examples).

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This might be some function transformation but I can't find the way to do that. I've tried using a lookup texture but in my opinion this is not the best solution.
Thank you very much.

Solution

  • As @dari said, the smoothstep function is the best solution to achieve what I need.