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
Page 29 of 38
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