Ex. 5.5 The de Boor Algorithm P(20,25,5) Po(10, 15, 20) P (40,25,0) P3 (60, 5, 0)...

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Ex. 5.5 The de Boor Algorithm P₁(20,25,5) Po(10, 15, 20) P₂ (40,25,0) P3 (60, 5, 0) a. Implement the de Boor Algorithm. P6 (90, 45, -10) Ps† (80, 30, -10) P (80, 15,-5) Figure 5.34: Control points for a B-spline curve. P7 (115, 40,-5) P8 (125, 15, 0) b. With the implemented algorithm, plot the cubic B-spline curve defined with the control points shown in Fig. 5.34. Assuming it is a non-periodic uniform B-spline curve. Assuming the knot vector is 0 0 0 1 2 3 4 5 6 6 6 (no superfluous knots). c. Evaluate the point at u=1.5. Ex. 5.5 The de Boor Algorithm P₁(20,25,5) Po(10, 15, 20) P₂ (40,25,0) P3 (60, 5, 0) a. Implement the de Boor Algorithm. P6 (90, 45, -10) Ps† (80, 30, -10) P (80, 15,-5) Figure 5.34: Control points for a B-spline curve. P7 (115, 40,-5) P8 (125, 15, 0) b. With the implemented algorithm, plot the cubic B-spline curve defined with the control points shown in Fig. 5.34. Assuming it is a non-periodic uniform B-spline curve. Assuming the knot vector is 0 0 0 1 2 3 4 5 6 6 6 (no superfluous knots). c. Evaluate the point at u=1.5.

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The de Boor algorithm is a numerical algorithm that calculates the points on a Bspline curve Its similar in form and function to the more commonly kno... View the full answer