A set which is made up only of isolated points is called a discrete set. A discrete subset of Euclidean space is countable; however, a set can be countable but not discrete, e.g. the rational numbers. See also discrete space.
A closed set with no isolated point is called a perfect set.
US Patent Issued to Konica Minolta Business Technologies on June 14 for "Image Processing Apparatus Capable of Accurately Removing Isolated Point Noise, Image Processing Method, and Computer Readable Medium" (Japanese Inventor)
Jun 16, 2011; ALEXANDRIA, Va., June 16 -- United States Patent no. 7,961,951, issued on June 14, was assigned to Konica Minolta Business...