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(a) Derive basis functions for a cubic B-spline curve of 6 control points (n=5); (b) Derive equation for the cubic B-spline curve formed by six
(a) Derive basis functions for a cubic B-spline curve of 6 control points (n=5); (b) Derive equation for the cubic B-spline curve formed by six control points, Po, P1, P2, P3, P4, and p5; (c) Plot the curve using Excel (or other software of your choice) for Po = [0,0], P1 = (-1,1], P2 = (-1,3], P3 = [0,4], P4 = [0,6], and p5 = (3,8]; (a) Derive basis functions for a cubic B-spline curve of 6 control points (n=5); (b) Derive equation for the cubic B-spline curve formed by six control points, Po, P1, P2, P3, P4, and p5; (c) Plot the curve using Excel (or other software of your choice) for Po = [0,0], P1 = (-1,1], P2 = (-1,3], P3 = [0,4], P4 = [0,6], and p5 = (3,8]
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