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Linear Interpolation

• Used to move a point along a vector, with parametric line definition.

• Used to calculate inbetween frames.

• Given corresponding vertices v1 and v2 of an object at keyframes 1 and 2 respectively, the position of v during the intermediate frames calculated for a time t by

• vt = (1 - t)v1 + tv2

  • value of t ranges from 0 to 1 (0 t 1)

  • at t = 0, vt = (1 - 0)v1 + (0)v2 = v1

  • at t = 1, vt = (1 - 1)v1 + (1)v2 = v2

  • at t = 1/2, vt = (1/2)v1 + (1/2)v2, etc.
    
    

Animation - 10 MAY 95

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