Optimal O(1) Bilateral Filter with Arbitrary Spatial and Range Kernels Using Sparse Approximation

Table 2

Comparison of the FSIM values.

𝜎𝑠	Barbara			Boat			Lena			Pirate
	Ours	[21]	[26]	Ours	[21]	[26]	Ours	[21]	[26]	Ours	[21]	[26]
0.90	0.9874	0.9859	0.9873	0.9928	0.9921	0.9927	0.9830	0.9810	0.9829	0.9911	0.9902	0.9911
1.20	0.9902	0.9893	0.9902	0.9943	0.9911	0.9941	0.9862	0.9864	0.9862	0.9931	0.9908	0.9930
1.50	0.9924	0.9914	0.9924	0.9954	0.9949	0.9952	0.9888	0.9879	0.9889	0.9946	0.9940	0.9946
1.80	0.9939	0.9922	0.9939	0.9962	0.9901	0.9959	0.9907	0.9896	0.9909	0.9956	0.9913	0.9956
2.40	0.9960	0.9942	0.9929	0.9972	0.9949	0.9941	0.9934	0.9911	0.9910	0.9969	0.9948	0.9944
3.00	0.9973	0.9953	0.9817	0.9978	0.9941	0.9834	0.9955	0.9931	0.9820	0.9977	0.9950	0.9849
3.60	0.9979	0.9956	0.9589	0.9981	0.9931	0.9629	0.9964	0.9939	0.9629	0.9982	0.9947	0.9658
4.50	0.9984	0.9954	0.9137	0.9984	0.9927	0.9235	0.9973	0.9939	0.9248	0.9985	0.9944	0.9280
6.00	0.9988	0.9956	0.8427	0.9985	0.9931	0.8631	0.9979	0.9940	0.8660	0.9988	0.9942	0.8697
7.50	0.9991	0.9956	0.7928	0.9987	0.9932	0.8198	0.9984	0.9943	0.8246	0.9990	0.9944	0.8287
9.00	0.9992	0.9962	0.7602	0.9989	0.9935	0.7916	0.9987	0.9958	0.7979	0.9990	0.9952	0.8021