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.

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Formula:

p = [[(b - e) x (d - f) / (b - a) (d - c)] x p1] + [[(e - a) x (d - f) / (b - a) (d - c)]x p3] + [[(b - e) x (f - c) / (b - a) (d - c)] x p2] + [[(e - a) x (f - c) / (b - a) (d - c)] x p4] 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 p1 = Position of Q11 p2 = Position of Q12 p3 = Position of Q21 p4 = 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.


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