Smith was among four players added to the field on Monday from the top-50 in the world ranking, along with Japan's Satoshi Kodaira, Dylan Frittelli of South Africa and American Chez Reavie.
Some 86 players are already exempt to play in the opening men's major of the year, live on Sky Sports, with the only available place in the field going to the victor in Houston this week.
The victor of the Houston Open at the Golf Club of Houston is granted a place in the field at Augusta National next week, which means that Geoff Ogilvy, Greg Chalmers, Rod Pampling, Aaron Baddeley and Matt Jones all have a chance of competing in the year's first major. Garcia fired a three-under 69 in the final round to secure a spot in a playoff against England's Justin Rose, a playoff Garcia won with a birdie on the first hole. That includes U.S. Open champion Brooks Koepka, who is recovering from a wrist injury.
European Union and Turkey summit produces commitment to keep talking
Turkey said it would prevent any further drilling off Cyprus without the direct involvement of the Turkish Cypriots. The objective of the meeting was to mend relations between Turkey and the EU.
Ian Poulter is the highest-ranked player not already in next week's field, despite the world No 51 believing he had qualified during the WGC-Dell Technologies Match Play. One spot is available to this week's Houston Open victor if he is not already eligible.
A sales agent for TickPick.com told augustachronicle.com, that Woods' recent strong form in his comeback has raised Masters tournament first-day badges to $3,653, a 77 percent increase from last year's Thursday badge.