SFO LCL CTLR INITIATED TWR VISUAL SEPARATION BTWN OVERFLT AND RWY 28 DEP ACFT WHEN NCT CTLR ISSUED AN UNEXPECTED DSCNT CLRNC.

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ACFT X ON A BAY TOUR SE TO NW AT 3500 FT TO PASS ABOUT 1 MI W OF SFO VOR. ACFT X WAS POINTED OUT TO ME (SFO) BY NCT (SUTRO) AS 'MISS MY TFC BY STOPPING CONFLICTING DEPS AT 3000 FT.' WHEN I CLRED ACFT Y; A B737; FOR TKOF RWY 28L; HE WAS ON THE CUIT 2 DEP; TO TURN R HDG 030 DEGS TO INTERCEPT AND PROCEED SFO 342 DEG RADIAL. WHEN I CLRED THE B737 ACFT Y FOR TKOF; ACFT X WAS AT 3500 FT AND I WAS MONITORING THE GND TRACK TO SEE IF THE 2 ACFT WOULD CONFLICT. WHEN THE B737 ACFT Y BECAME AIRBORNE; THE GND TRACK OF ACFT X DICTATED THE NEED TO ALT RESTRICT THE B737 ACFT Y. THE PROB IS THAT NCT DSNDED ACFT X; SO I HAD THE B737 ACFT Y STOPPING AT 3000 FT; WITH ACFT X DSNDING THROUGH 3200 FT; TO MEET/MERGE AT THE 342 DEG RADIAL 2.5 DME. I SOLVED THE CONFLICT VIA VISUAL SEPARATION AND INSTRUCTED THE B737 ACFT Y TO CONTINUE HDG 030 DEGS NOT TO INTERCEPT AND PROCEED THE SFO 342 RADIAL. WHEN MY SUPVR INQUIRED WITH THE CIC FOR THE AREA AT NCT; HE FOUND OUT THE CIC WAS THE ONE WORKING THE SECTOR; AND DIDN'T THINK WE WERE ON THE NOISE ABATEMENT PROCS; RATHER THE SHORELINE 1.