Research Article

Fast Analytic Sampling Approximation from Cauchy Kernel

Table 1

The error ratios (i.e., ratio 1, ratio 2, and ratio 3) corresponding to different , , and . and are the time cost by direct computing and Algorithm 7, respectively.

ratio 1ratio 2ratio 3

2 0.0704 0.0733 0.0676 0.107 s 0.086 s
3 0.0051 0.0051 0.0051 0.214 s 0.103 s
4 4.052 s 0.116 s