Research Article

Real-Time NURBS Interpolation under Multiple Constraints

Table 4

The parameters of the butterfly-shaped curve.

ParametersValues

Control points{54.493, 52.139}, {55.507, 52.139}, {56.082, 49.615},{56.780, 44.971}, {69.575, 51.358}, {77.786, 58.573},{90.526, 67.081}, {105.973, 63.801}, {100.400, 47.326},{94.567, 39.913}, {92.369, 30.485}, {83.440, 33.757},
{91.892, 28.509}, {89.444, 20.393}, {83.218, 15.446},{87.621, 4.830}, {80.945, 9.267}, {79.834, 14.535},{76.074, 8.522}, {70.183, 12.550}, {64.171, 16.865},{59.993, 22.122}, {55.680, 36.359}, {56.925, 24.995},
{59.765, 19.828}, {54.493, 14.940}, {49.220, 19.828},{52.060, 24.994}, {53.305, 36.359}, {48.992, 22.122},{44.814, 16.865}, {38.802, 12.551}, {32.911, 8.521},{29.152, 14.535}, {28.040, 9.267}, {21.364, 4.830},
{25.768, 15.447}, {19.539, 20.391}, {17.097, 28.512},{25.537, 33.750}, {16.602, 30.496}, {14.199, 39.803},{8.668, 47.408}, {3.000, 63.794}, {18.465, 67.084},{31.197, 58.572}, {39.411, 51.358}, {52.204, 44.971},
{52.904, 49.614}, {53.478, 52.139}, {54.493, 52.139}
Weights{0, 0, 0, 0, 0.0083, 0.0150, 0.0361, 0.0855, 0.1293, 0.1509, 0.1931, 0.2273, 0.2435, 0.2561,0.2692, 0.2889, 0.3170, 0.3316, 0.3482, 0.3553, 0.3649, 0.3837, 0.4005, 0.4269, 0.4510, 0.4660, 0.4891, 0.5000,0.5109, 0.5340, 0.5489, 0.5731, 0.5994, 0.6163, 0.6351, 0.6447, 0.6518, 0.6683, 0.6830, 0.7111, 0.7307, .7439,0.7565, 0.7729, 0.8069, 0.8491, 0.8707, 0.9145, 0.9639, 0.9850, 0.9917, 1.0, 1.0, 1.0, 1.0};
Knot vector{1.0, 1.0, 1.0, 1.2, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 2.0, 1.0, 1.0, 5.0, 3.0, 1.0, 1.1, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.1, 1.0, 3.0, 5.0, 1.0, 1.0, 2.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.2, 1.0, 1.0, 1.0};