For his latest victory, Choi received a seven-spot bump to No. 13 in the latest world rankings. Steven Stricker finished runner-up and also moved up seven places to 16th.
On the European Tour, Colin Montgomerie won for the first time in 19 months at the European Open, climbing from 43rd to 30th. His runner-up, Niclas Fasth, continued an impressive rise in the rankings and was up two places to 20th this week.
Woods, of course, remained No. 1 this week after tying for sixth in his own event. But he had a new No. 2: Jim Furyk regained his position behind Woods, leaping over Phil Mickelson after tying for third place at the AT&T National.
Mickelson, who missed the cut, is at No. 3 and was followed by Adam Scott, Ernie Els, Vijay Singh, Henrik Stenson, Geoff Ogilvy, Luke Donald, Padraig Harrington, Retief Goosen and Sergio Garcia, who held onto positions 4-12.
Choi's move to 13th dropped Rory Sabbatini and Masters champion Zach Johnson one spot apiece to 14th and 15th respectively.
Behind Stricker, Paul Casey dropped a spot to 17th, U.S. Open winner Angel Cabrera was down three spaces to 18th and Trevor Immelman dipped two spots to 19th.
Justin Rose and David Toms each dropped three places and out of the top 20 this week.