CALCULATOR
Bilinear Interpolation Within Four Corner Values Calculator
Bilinear Interpolation Within Four Corner Values. Example: V00: 0 units, V10: 10 units, V01: 20 units, V11: 30 units, X fraction: 0.25 number, Y fraction: 0.5 number gives 12.5 units. Four corners use the same quantity unit; x/y are normalized0..1; no extrapolation or physical coordinate inference. Only this original stated job is proposed, not full historical source coverage. Input domains and o
Four corners use the same quantity unit; x/y are normalized0..1; no extrapolation or physical coordinate inference. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Nested convex interpolation within a rectangle, with normalized coordinate fractions.
Accepted inputs: V00: -10,000 to 10,000 units; V10: -10,000 to 10,000 units; V01: -10,000 to 10,000 units; V11: -10,000 to 10,000 units; X fraction: 0 to 1 number; Y fraction: 0 to 1 number.
How the calculation works
Interpolate x on bottom/top edges, then interpolate y
Worked example
With v00 0 units, v10 10 units, v01 20 units, v11 30 units, x fraction 0.25 number, y fraction 0.5 number, bilinear interpolation within four corner values is 12.5 units.
Assumptions and limits
Four corners use the same quantity unit; x/y are normalized0..1; no extrapolation or physical coordinate inference. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Nested convex interpolation within a rectangle, with normalized coordinate fractions.