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

Table 3

Results of three creeping rays tracing on sphere.

Source point	(1, 0, 0)
Methods	(a) Proposed method	(b) Euler method	(c) Euler method	(d) Euler method
Initial step size (m)	0.01	0.01	0.0005	0.0001
Last point	(0.9998, 0.0, 0.0)	(0.9829, 0.1817, 0.0018)	(0.9955, 0.08925, 0.0013)	(0.3462, 0.9337, −0.0086)
Time (s)	12.85	1.53	29.67	149.46