Creeping Ray Tracing Algorithm for Arbitrary NURBS Surfaces Based on Adaptive Variable Step Euler Method

Table 2

Comparison of creeping rays on cone obtained from three different methods.

Source point		(1, 0, 0)
Creeping ray number		1	2	3
Last point	Analytical method	(−0.9320, −0.3622, 0.0)	(−0.0294, −0.9994, 0.0)	(1.0, −0.0389, 0.0)
	Euler method	(−0.9290, −0.3594, 0.0106)	(0.0529, −0.9868, 0.0233)	(0.4461, −0.0106, 1.1080)
	Proposed method	(−0.9321, −0.3546, 0.0085)	(−0.0092, −0.9900, 0.0205)	(0.9194, −0.0015, 0.1612)
Length (m)	Analytical method	3.1602	3.8669	4.3930
	Euler method	3.1540	3.9004	3.1027
	Proposed method	3.1610	3.8689	4.3956
Time (s)	Euler method	1.60	2.54	1.58
	Proposed method	1.72	2.35	3.50