HPM-Based Dynamic Sparse Grid Approach for Perona-Malik Equation

Table 1

Condition number of each image block at different times.

Block number	Condition number
	𝑡=0.00001	𝑡=0.00002	𝑡=0.00003	𝑡=0.00004	𝑡=0.00005
1	9.6829	7.7193	6.7935	6.8257	5.9730
2	13.7539	12.8756	11.8760	11.8703	11.3319
3	9.2841	8.8832	8.1376	7.8737	6.8713
4	9.6829	7.7193	6.7935	6.8257	5.9730
5	1.6816	1.6931	1.7153	1.7378	1.8923
6	13.9357	12.9657	11.8891	11.8757	10.3356
7	13.7543	12.8757	11.8765	10.8701	9.3318
8	13.7556	12.8781	11.8776	11.8734	11.3329
9	43.9354	32.9663	31.8882	28.8749	21.3346
10	3.2389	2.9137	2.2917	1.9365	1.2919
11	8.5692	6.9416	6.6971	5.2875	4.3907
12	31.9823	29.3266	28.8330	25.6736	20.1976
13	15.1617	14.7818	13.8967	12.5738	12.3428
14	12.9614	12.1973	10.9887	10.1725	9.3189
15	4.6593	3.7938	2.5476	2.3789	1.9916
16	14.6835	13.9864	13.1838	12.8897	11.3156
17	12.8113	12.1031	10.1763	9.5627	8.2474
18	14.9834	13.6523	12.7719	12.1658	11.7829
19	13.6689	12.1791	11.1782	10.5977	8.9664
20	125.4782	110.3379	98.9073	89.7761	80.2749
21	1.6816	1.6931	1.7153	1.7378	1.8923
22	2.4589	2.6623	3.7662	3.8955	4.5811
23	43.2983	39.6744	36.7943	32.1079	28.6179
24	211.5877	198.7219	180.7089	86.9125	81.8510
25	185.7428	170.5897	160.0987	52.1757	83.0421