What is Linear Interpolation, AKA Lerp?

What is Linear Interpolation, AKA Lerp?



For a set of discrete values, Linear Interpolation can approximate other values inbetween, assuming a linear development between these discrete values.

An interpolated value, calculated with linear interpolation, is calculated only in respect to the two surrounding values.

To calculate a value between two other values, using linear interpolation, a certain factor, often called "step", must be used. The value has to be between value 1 (v0) and value 2 (v1). If "step" is 0.0 the interpolated value is equal to v0 and if step is 1.0, it's equal to v1. So the formula is as follows:

v0 ∗ (1.0−step) + v1 ∗ step

or (computationally a more efficient way):

v0 + (v1 − v0) ∗ step

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