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Well ANSI Lumens is a measurement of total light output, so is useful for roughly comparing projectors when looking for a certain brightness projector. It is also an important figure in calculating contrast ratio - ANSI @ full white, divided by ANSI @ full black equals overall contrast ratio. How manufacturers come to these figures is a totally different story (such as not calibrating the projector for realistic skin tones, just calibrating for max white etc).
Foot lamberts is a bit more specific as the mathematic of the screen size and surface is taken into account. The figure represents the amount of light reflected back per square foot so also by definition is taking into account the ambient lighting in the room (which should be blackout and not a factor). So basically where ANSI tells you what the projector is throwing out, lamberts tell you what brightness level you are actually seeing reflected back from the screen.
Lamberts is supposedly the better measurement if you were trying to compare images by referencing them to numbers. But here is the crux of the thing, it is very easy to manipulate a projector to achieve very high contrast figures, ft lambert readings, lux, ANSI, whatever, but the side effect is an otherwise awful picture (gamma all out, colour wildly inaccurate etc). So I would try to steer away from the facts and figures and get more into actually seeing a couple projectors in the flesh. What their picture does for you in terms of all the factors you can't measure: image detail, feeling of depth, smoothness of image, colour accuracy, black/contrast detail etc. And of course how loud it is, what throw it requires, connectivity, upgradeability and so on. Sorry to get a bit preachy!! Just wanna make sure you don't go out a buy a projector by spec sheet only to actually be disappointed by it.
Oh you've also got Runco's CSMS (Cinema Standards Measurement System) which is really a selection of rules to adhere to. The projector is rated in ft lamberts, but only once it has been set to correct colour temperature, gamma, brightness etc. This removes the ability for a manufacturer to for example max the colour temp for ANSI readings, then for measuring zero lightoutput to minimize the colour temp and lower the brightness level right down thus exagerrating the figures immensely. With CSMS standards reached, you can then measure for ANSI contrast and have a slightly more meaningful figure for comparison. Generally speaking Sim2 measurements are of this sort, they are minimum figures achievable with the projector properley calibrated for Home Cinema use.
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