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Initial Condition Points

• The four initial control points provide known values of Q(t) just as two chosen vertices did earlier for parametric polyline interpolations.

• Solving simultaneous equations gives coefficients for Q(t). As in linear interpolation, results in a weighted average.

• For linear interpolation, values at v1 and v2 gave us vt = (1-t)v1 + tv2

• For Bezier curves, P1, P2, P3, P4
  are v1, v2, v3, v4 and
  Q(t) = (1-t)3v1 + 3t(1-t)2v2 + 3t2(1-t)v3 + t3v4

Animation - 10 MAY 95

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