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
-
Interpolation — Wikipedia contributors
Similar or alternative tools
- Cubic Hermite Interpolation Calculator
Interpolate between two values with specified tangents using cubic Hermite basis functions.
- Linear Interpolation Calculator
Interpolate between two values using a finite parameter.
- Exponential Interpolation Calculator
Interpolate between two points along an exponential curve of constant ratio.