w = 0.7071 P3 (-1,1) y 2 4 P (-1,0) W = 1 W = 1...

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w = 0.7071 P3 (-1,1) y 2 4 P (-1,0) W = 1 W = 1 P (0,1) P (1,1) w = 0.7071 (1) P (1,0) x W = 1 Figure 4.11: NURBS representation of a half circle with two curve segments. Ex. 4.3 - NUBRS curve evaluation For the half circle shown in the Fig. 4.11, it is represented by five control points and their coordinates. are shown in the figure. The knots are {0, 0, 1, 1, 2, 2}. a. Compute c(u= 1.25). b. Compute c(u = 1.5) c. Compute c(u = 1.75) d. Plot the curve. w = 0.7071 P3 (-1,1) y 2 4 P (-1,0) W = 1 W = 1 P (0,1) P (1,1) w = 0.7071 (1) P (1,0) x W = 1 Figure 4.11: NURBS representation of a half circle with two curve segments. Ex. 4.3 - NUBRS curve evaluation For the half circle shown in the Fig. 4.11, it is represented by five control points and their coordinates. are shown in the figure. The knots are {0, 0, 1, 1, 2, 2}. a. Compute c(u= 1.25). b. Compute c(u = 1.5) c. Compute c(u = 1.75) d. Plot the curve.