Math

Bilinear Interpolation Calculator

Interpolate a value inside a grid from its four corner values.

Bottom-left value

Bottom-right value

Top-left value

Top-right value

x fraction (0–1)

y fraction (0–1)

Calculated Output

Interpolated value 25

Formula: Interpolate in x, then in y

Step-by-Step Breakdown

1. Values used:

2. Bottom-left value = 10

3. Bottom-right value = 20

4. Top-left value = 30

5. Top-right value = 40

6. x fraction (0–1) = 0.5

7. y fraction (0–1) = 0.5

9. Interpolated value = 25

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The math behind it

First interpolate along the x-direction on the bottom and top edges, then interpolate those two results along y.

Corners 10/20/30/40 at the centre (0.5, 0.5) → 25.

How is it different from linear interpolation?

Linear works along one dimension; bilinear blends across two.