Bilinear Interpolation Calculator

Bilinear Interpolation Calculator - Multi-Tools

Bilinear Interpolation Calculator

Point Q₁₁ (x₁, y₁)
Point Q₁₂ (x₁, y₂)
Point Q₂₁ (x₂, y₁)
Point Q₂₂ (x₂, y₂)
About Bilinear Interpolation

Bilinear interpolation is a method for interpolating values between four known points in a 2D grid.

Formula:
f(x,y) = f(Q₁₁)(x₂-x)(y₂-y) + f(Q₁₂)(x₂-x)(y-y₁) +
f(Q₂₁)(x-x₁)(y₂-y) + f(Q₂₂)(x-x₁)(y-y₁)
where:
Q₁₁ = (x₁,y₁), Q₁₂ = (x₁,y₂)
Q₂₁ = (x₂,y₁), Q₂₂ = (x₂,y₂)
Properties:
  • Preserves values at known points
  • Produces smooth transitions
  • Works in rectangular grids
  • Linear along grid lines
Applications:
  • Image processing
  • Terrain mapping
  • Temperature mapping
  • Data visualization
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