The Approximation of Generalized Log-Aesthetic Curves with Cubic Trigonometric Bézier Function

Table 3

Approximations of -shift GLAC with various arc lengths.

-GLAC	Cubic Bézier					Cubic trigonometric Bézier
()	S		# Iterations		Time (s)		# Iterations		Time (s)
(−1, 0.2, −0.1)	3	(3, 3)	0	0.622259	0.3750	(3, 3)	0	0.007819	0.8750
		(2.337, 4.473)	1	0.016135	0.7344
(0, 0.5, 0.2)	2	(2, 2)	0	0.467113	0.3750	(2, 2)	0	0.059382	0.8750
		(1.733, 2.525)	1	0.019160	0.7656	(1.948, 1.971)	1	0.005753	2.0625
(0.3, 0.2, 0.1)	2	(2, 2)	0	0.504361	0.3906	(2, 2)	0	0.021884	0.8438
		(1.953, 2.312)	1	0.032646	0.7656
(1, 0.1, −0.3)	3	(3, 3)	0	0.2918	0.3750	(3, 3)	0	0.013707	1.0313
		(2.860, 3.498)	1	0.015333	0.7031
(2, 0.3, −0.4)	5	(5, 5)	0	0.434436	0.3438	(5, 5)	0	0.063259	0.9219
		(2.554, 8.865)	1	0.022365	0.7031	(4.367, 4.663)	1	0.015615	1.7813