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

P0

Value at the start point.

M0

Tangent at the start point.

P1

Value at the end point.

M1

Tangent at the end point.

T

Interpolation parameter between zero and one.

Interpolate between two values with specified tangents using cubic Hermite basis functions. 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 curve value at parameter t.

• 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.

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

• 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.

• Bilinear Interpolation Calculator

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