For high-precision cosmic microwave background (CMB) experiments, cont
amination from extragalactic point sources is a major concern. It is t
herefore useful to be able to detect and discard point-source-contamin
ated pixels using the map itself. We show that the sensitivity with wh
ich this can be done can often be greatly improved (by factors between
2.5 and 18 for the upcoming Planck mission) by a customized high-pass
filtering that suppresses fluctuations due to the CMB and diffuse gal
actic foregrounds. This means that point-source contamination will not
severely degrade the cleanest Planck channels unless current source c
ount estimates are off by an order of magnitude. A catalog of around 4
0,000 sources at 857 GHz may be a useful by-product of Planck.