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

Table 5

Approximations of -shift GLAC with various arc lengths.

-GLAC	Cubic Bézier					Cubic trigonometric Bézier
()	S		#Iterations		Time (s)		#Iterations		Time (s)
(−1, 0.1, 0.9)	4	(4, 4)	0	0.258526	0.5938	(4, 4)	0	0.004819	0.9844
		(3.957, 4.619)	1	0.014342	0.9531
(0, 0.1, 0.3)	3	(3, 3)	0	0.393629	0.3594	(3, 3)	0	0.011349	0.8906
		(3.035, 3.424)	1	0.035227	0.7500
(0.5, 0.5, 0.5)	5	(5, 5)	0	0.454235	0.4063	(5, 5)	0	0.090672	0.4870
		(3.710, 7.212)	1	0.012465	0.7969	(4.557, 4.748)	1	0.009789	1.6250
(1, 0.7, 0.9)	2	(2, 2)	0	0.036563	0.3438	(2, 2)	0	0.008822	1.0469
(2, 0.1, 0.5)	2	(2, 2)	0	0.209512	0.3594	(2, 2)	0	0.002147	0.7969
		(2.002,2.123)	1	0.004711	0.7031