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There are several possible approaches to separate extended objects from point sources.  See the page describing how to separate stars and galaxies for suggested approaches. Note that a recently added MAST High Level Science Product, PS1-PSC, provides point-source probabilities for 1.5 billion objects in the PS1 DR2 catalog.  It is accessible via the MAST Casjobs interface and may be the current best choice method to separate stars from non-stars.

Some stack objects have multiple entries. How can I select the correct entry?