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

Table 1

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

Source point		(1, 0, 0)
Creeping ray number		1	2	3
Last point	Analytical method	(0.4651, −0.8853, 3.0)	(−0.1603, 0.9871, 3.0)	(0.8636, 0.5042, 3.0)
	Euler method	(0.4636, −0.8867, 2.999)	(−0.1596, 0.9896, 2.9983)	(0.8638, 0.5028, 2.999)
	Proposed method	(0.4636, −0.8867, 2.999)	(−0.1596, 0.9896, 2.9983)	(0.8638, 0.5028, 2.999)
Length (m)	Analytical method	5.9999	3.4636	3.0433
	Euler method	6.0094	3.4682	3.0440
	Proposed method	6.0094	3.4682	3.0440