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(3) B-spline. Derive the explicit formulas for A(x), B(x), C(x), D(x), and then the piecewise cubic polynomial on the interval [1,2] for the B-spline.
(3) B-spline. Derive the explicit formulas for A(x), B(x), C(x), D(x), and then the piecewise cubic polynomial on the interval [1,2] for the B-spline. (The piecewise cubic polynomial on the interval [2, 3] is given by symmetry: Y23(x) = Y12(4x).) Hint: On [1,2], (xa, Ya) = (1, 1), y = 6, (x, Y) = (2,4), y = 12.
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Applied Linear Algebra
Authors: Peter J. Olver, Cheri Shakiban
1st edition
131473824, 978-0131473829
