Piecewise Bivariate Hermite Interpolations for Large Sets of Scattered Data

Table 1

The comparison of MSE and MME of 𝑄_𝑓(𝑥, 𝑦) and 𝑄^∼_𝑓(𝑥, 𝑦) for the same scattered points.

Number of scatter data	𝑁𝑊	Influence radius 𝑅	𝑄𝑓(𝑥,𝑦)−𝑓(𝑥,𝑦)		𝑄^∼𝑓(𝑥,𝑦)−𝑓(𝑥,𝑦)
			MSE	MME	MSE	MME
100	9	0.1818	6.3064𝑒−005	0.0578	1.9664𝑒−004	0.0951
300	9	0.1179	1.2890𝑒−006	0.0110	3.8058𝑒−006	0.0162
500	9	0.0918	1.0176𝑒−007	0.0030	3.0822𝑒−007	0.0043
800	9	0.0705	2.0574𝑒−008	0.0012	1.0705𝑒−007	0.0023
1000	9	0.0654	1.2458𝑒−008	0.0011	5.2834𝑒−008	0.0022