URL completo:
http://stackoverflow.com/questions/6038061/regular-expression-to-find-urls-within-a-string
Base:
stackoverflow.com
Regex:
(http (s)?: / /) | ( /.*) {1}
Exemplo em JavaScript:
function toBaseURL(fullURL){
return fullURL.replace(/(http(s)?://)|(/.*){1}/g, '');
}