The 47-year-old director suffered a "massive heart attack" last week when he was forced to consult a doctor after experiencing nausea and shortness of breath.
In a Twitter post, Smith revealed he is recuperating and back home.
"Home again, home again, jiggety-jig! Home is where the heart is and the heart is feeling good! It's actually getting more blood flow and oxygen than it has in a long time. So I am ALERT, to say the least!
"Thank you for all the kind words, folks - from Vegetarian Kev, Day 2! (sic)" he wrote.