The completeness of source detection is critical for analyzing thephotometric and spatial properties of the population of interest observed byastronomical imaging. We present a software package $\mathtt{ComEst}$, whichcalculates the completeness of source detection on charge-coupled device (CCD)images of astronomical observations, especially for the optical andnear-infrared (NIR) imaging of galaxies and point sources. The completenessestimator $\mathtt{ComEst}$ is designed for the source finder$\mathtt{SExtractor}$ used on the CCD images saved in the Flexible ImageTransport System (FITS) format. Specifically, $\mathtt{ComEst}$ estimates thecompleteness of the source detection by deriving the detection rate ofsynthetic point sources and galaxies simulated on the observed CCD images. Inorder to capture any observational artifacts or noise properties while derivingthe completeness, $\mathtt{ComEst}$ directly carries out the detection ofsimulated sources on the observed images. Given an observed CCD image saved inFITS format, $\mathtt{ComEst}$ derives the completeness of the source detectionfrom end to end as a function of source flux (or magnitude) and CCD position.In addition, $\mathtt{ComEst}$ can also estimate the purity of the sourcedetection by comparing the catalog of the detected sources to the inputcatalogs of the simulated sources. We run ComEst on the images from BlancoCosmology Survey (BCS) and compare the derived completeness as a function ofmagnitude to the limiting magnitudes derived by using the Signal-to-Noise ratio(SNR) and number count histogram of the detected sources. $\mathtt{ComEst}$ isreleased as a Python package with an easy-to-use syntax and is publiclyavailable at https://github.com/inonchiu/ComEst
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