Greedy, Non-Greedy, All-Greedy Matching in C# Regex

How can I get all the matches in the following example:

// Only "abcd" is matched
MatchCollection greedyMatches = Regex.Matches("abcd", @"ab.*");

// Only "ab" is matched
MatchCollection lazyMatches   = Regex.Matches("abcd", @"ab.*?");

// How can I get all matches: "ab", "abc", "abcd"

P.S.: I want to have the all matches in a generic manner. The example above is just an example.