Find parametric equation for Y-coordinates of Hermite cubic spline curve having end points P0[4,4]; P1[8,5]
A)2u3-3u2+2u+4
B)3u3-2u2-2u-4
C)2u3-3u2-2u-4
D)2u3+3u2+2u+4

Question

Quizplus · Accepted Answer

The parametric equation for the Y-coordinates of a Hermite cubic spline curve is given by H(u) = (2u^3 - 3u^2 + 1)P0 + (-2u^3 + 3u^2)P1 + (u^3 - 2u^2 + u)m0 + (u^3 - u^2)m1, where P0 and P1 are the start and end points, and m0 and m1 are the tangents at these points. For a simple Hermite spline between points P0[4,4] and P1[8,5] without specified tangents, the equation simplifies to the blend of the points, leading to H(u) = (2u^3 - 3u^2 + 1) * 4 + (-2u^3 + 3u^2) * 5, which simplifies to 2u^3 - 3u^2 + 4.

Find Parametric Equation for Y-Coordinates of Hermite Cubic Spline Curve