adaptive@libra.cs.nps.navy.mil (zyda res acct) (10/31/90)
I am trying to convert a data file consisting of polygon vertices into a file containing the coefficients of a parametric polynomial function of order 1. In other words, polygon data to parametric piecewise linear curve. Given: 1) N: The number of segments, 2) T(1),...,T(N+1): The endpoints and the breakpoints separating the polynomial segments, 3) The coordinates of the points in the i-th segment of the curve are given by the following polynomials: X(u) = AX(i) + BX(i) * s Y(u) = AY(i) + BY(i) * s Z(u) = AZ(i) + BZ(i) * s where T(i) <= u <= T(i + 1), i = 1,...,N s = u - T(i) My question is how do I get the values for the coefficients A(i),B(i), i = 1,...,N representing the spline in each of the N segments? Thanks, gd