Real-Time NURBS Interpolation under Multiple Constraints

Table 5

Segments information of the butterfly curve.

Number	U_start	U_end	V_start	V_end	Required_arc length	Acture_arclength	Complete S curve profile
Segment1	0.001	0.0169	0.060443	0.071035	38.307739	6.10257	NO
Segment2	0.0169	0.151502	0.071035	0.136423	31.208744	50.677979	YES
Segment3	0.151502	0.237903	0.136423	0.122992	26.428003	33.198769	YES
Segment4	0.237903	0.256303	0.122992	0.009457	35.054008	7.142123	NO
Segment5	0.256303	0.2753	0.009457	0.142006	32.629776	7.737445	NO
Segment6	0.2753	0.306796	0.142006	0.104414	27.698153	13.756968	NO
Segment7	0.306796	0.336292	0.104414	0.036195	36.596878	8.730752	NO
Segment8	0.336292	0.35529	0.036195	0.03501	41.08812	9.29499	NO
Segment9	0.35529	0.368188	0.03501	0.113086	35.733379	4.824294	NO
Segment10	0.368188	0.449777	0.113086	0.014613	36.137478	31.123468	NO
Segment11	0.449777	0.499971	0.014613	0.091119	38.27055	18.485075	NO
Segment12	0.499971	0.550179	0.091119	0.014629	38.270397	18.501719	NO
Segment13	0.550179	0.631792	0.014629	0.113006	36.145996	31.115427	NO
Segment14	0.631792	0.644695	0.113006	0.035021	35.741718	4.826924	NO
Segment15	0.644695	0.663698	0.035021	0.036196	41.087765	9.303009	NO
Segment16	0.663698	0.693103	0.036196	0.104468	36.591499	8.716472	NO
Segment17	0.693103	0.724608	0.104468	0.141766	27.725693	13.74367	NO
Segment18	0.724608	0.743611	0.141766	0.009517	32.662388	7.756817	NO
Segment19	0.743611	0.762214	0.009517	0.125237	34.786385	7.203535	NO
Segment20	0.762214	0.848428	0.125237	0.135905	26.228525	33.126568	YES
Segment21	0.848428	0.983151	0.135905	0.071057	31.275175	50.711964	YES
Segment22	0.983151	1.0	0.071057	0	39.830734	6.435459	NO