Bilinear Interpolation

Updated 01 Oct 2026

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What it is
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  interpolates inside a rectangular grid cell using its four corner values
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Formula
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  for normalized coordinates $u,v\in[0,1]$ , $f(u,v)=(1-u)(1-v)f_{00}+u(1-v)f_{10}+(1-u)vf_{01}+uvf_{11}$ .
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Example
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  with corners $f_{00}=250$ , $f_{10}=280$ , $f_{01}=310$ , $f_{11}=360$ , evaluation at $(u,v)=(0.3,0.7)$ gives $305.2$ .
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Related
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  Bicubic Interpolation

Linked references 2