Do you want to skip files beginning with a . or do you just want to skip the . and .. directories? If it's the latter you can use the -d file test:

opendir (DIR, $dir) || die "opendir: $dir - $!\n";
foreach my $name (readdir DIR) {
   my $fullPath = $dir . "/" . $name;
   next if (-d $fullPath);
}
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-- vek --