Bilinear Interpolation Calculator

Interpolate a value inside a unit of a 2x2 grid from its four corner values.

Description

Interpolate a value inside a unit of a 2x2 grid from its four corner values.

Bilinear Interpolation Calculator: Interpolate a value inside a unit of a 2x2 grid from its four corner values.

When to use Bilinear Interpolation

Use this interpolator to estimate values between ordered samples when the chosen curve model is defensible over the local interval.

Corner values
Corner values as [[y0x0, y0x1], [y1x0, y1x1]].
X0
X coordinate of the first grid column.
X1
X coordinate of the second grid column.
Y0
Y coordinate of the first grid row.
Y1
Y coordinate of the second grid row.
Point X
Query x coordinate.
Point Y
Query y coordinate.

How Bilinear Interpolation works

Interpolate a value inside a unit of a 2x2 grid from its four corner values. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

Value
Interpolated value at the query point.

Limitations and assumptions

  • Interpolation does not validate the samples or justify extrapolation. Sorting, duplicate coordinates, spacing, endpoint derivatives, monotonicity, overshoot, noise, and domain physics determine whether the estimate is meaningful.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Plot the data and interpolant, compare methods, test known points exactly, and avoid extrapolating beyond the measured range without a model.

References

  1. Interpolation — Wikipedia contributors

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