# Bilinear Interpolation Calculator

Bilinear interpolation performs the linear interpolation first in one direction and then in the other direction. It interpolates the functions of the two variables X and Y over a rectilinear 2D grid. Use our online bilinear interpolation calculator to calculate the double interpolation. Enter the values of X1, X2, Y1 and Y2, coordination value of X and Y, the position of Q11, Q12, Q21, and Q22 in this Double Interpolation Calculator, the tool will update you the result.

## Double Interpolation Calculator

Bilinear interpolation performs the linear interpolation first in one direction and then in the other direction. It interpolates the functions of the two variables X and Y over a rectilinear 2D grid. Use our online bilinear interpolation calculator to calculate the double interpolation. Enter the values of X1, X2, Y1 and Y2, coordination value of X and Y, the position of Q11, Q12, Q21, and Q22 in this Double Interpolation Calculator, the tool will update you the result.

Code to add this calci to your website

#### Formula:

p = [[(b - e) x (d - f) / (b - a) (d - c)] x p_{1}] + [[(e - a) x (d - f) / (b - a) (d - c)]x p_{3}] + [[(b - e) x (f - c) / (b - a) (d - c)] x p_{2}] + [[(e - a) x (f - c) / (b - a) (d - c)] x p_{4}]
**Where,**
p = The Interpolated Value
a = Value of X1
b = Value of X2
c = Value of Y1
d = Value of Y2
e = Coordination Value of x
f = Coordination Value of y
p_{1} = Position of Q11
p_{2} = Position of Q12
p_{3} = Position of Q21
p_{4} = Position of Q22
The above bilinear interpolation calculator performs double interpolation operation which is just the extension of linear interpolation. This tool is capable of producing reliable results consistently.