Blake needed just 56 minutes to stop Australian Nathan Healey 6-2, 6-4 Wednesday but Baghdatis needed three tough sets in beating Czech Jan Hernych 6-4, 6-7 (7-2), 6-3.
Blake faces Evgeny Korolev in the quarterfinals after the Russian rebounded to a 0-6, 6-4, 6-4 victory over American Robby Ginepri. Baghdatis' quarterfinal foe, Carlos Moya, had a tougher time getting through, saving three match points before ending a 4-6, 7-6 (11-9), 6-3 match with fellow Spaniard Fernando Verdasco.
Fifth-seeded Tomas Berdych also needed three sets in winning Wednesday, recording a 6-7 (7-4) 6-0, 6-4 win over Czech Ivo Minar and Austrian Jurgen Melzer beat Australian Chris Guccione 7-6 (7-3), 6-3. An all-French quarterfinal was set when Richard Gasquet beat German Benjamin Becker 6-3, 6-4 and Paul-Henri Mathieu advanced on a retirement.
Second-seeded Nikolay Davydenko retired because of a foot injury one day after top-seeded Rafael Nadal also left the tournament because of injury. The availability for either player for next week's Australian Open was unknown.
2014: The Year in Music [PHOTOS]