Fleming by a decent bit for mine.
But a few things...
1, Raghav, c'mon mate, public polls!!!
2, fielding positions is one of the most hopelessly overrated things in cricket. If all you needed to do to get Damien Martyn out was to post two gullies he'd not have averaged 47 in Test-cricket. Also, captains should never get much credit as if you do gain something by putting fielders in the right place it's those who do the analysis (mostly head-coaches in my experience) who deserve the credit. Certainly probably more than one person.
3, Ponting is an absurdly over-criticised captain and always has been, especially over here. FFS, in his first 2 series he conquered not one but two near-unconquerable countries in Sri Lanka and India. Sure, he's made some poor decisions (fielding first at Edgbaston, bowling Lewis for 10 overs in that ODI, and probably a few more less obvious ones) which have proved costly. So, I dare say, did Mike Brearley, Warrick Armstrong, Imran Khan and Ian Chappell. Ponting has always been disproportionately criticised for his errors. And sure, there are times his diplomacy leaves a little to be desired and he can be a bit too heat-of-the-moment. But really, he doesn't deserve half the criticism he gets, at least over here.
4, it's almost impossible to make a mess even as a poor captain if you've got sides - bowling-attacks especially - of the calibre Ponting pretty much always has. I rarely tend to rate captains with such superlative sides as anything in particular, unless they're obvious geniu.
5, Fleming is a very, very fine captain, that much is obvious from little day-to-day things, not the silly things that have been bigged-up disproportionately (most notably that series in 2001\02 and the Martyn fielding positions which have been mentioned). He's terrific at reacting quickly and spotting field-changes which need to be made (and not made); he's great at manipulating things so that sometimes even wholly average bowlers look, if not good, then less poor than they should. He almost never loses his cool, which is one big area he has way over Ponting.
6, Fleming could easily be New Zealand's best captain ever.