(less bad points) this is because some fake signal would be inside the point sources identification.
The definition of purity is 1−NfpNR1-\frac{N_{\text{fp}}}{N_R}1−NRNfp, NfpN_{\text{fp}}Nfp is false positive number. NRN_{R}NR is the number of recovered point source.
(input should all be included)
The definition of completeness is NINR\frac{N_I}{N_{R}}NRNI, NIN_{I}NI is the input pointr source number. NRN_{R}NR is the number of recovered point source.
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