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As far as 3LCD is concerned, though the math says it is half the number of addressable pixels compared to native 4K, from a typical viewing distance the eye will perceive video material displayed on 4K-enhanced 3LCD projectors as much closer to native 4K than 1080p--subjectively the picture does not look like it is "half way" in between 1080p and 4K as the math would suggest. It looks more like it is about 90% native 4K, at least with video subject matter. The bottom line is that when viewing video material from normal viewing distances it will be difficult for most consumers to tell the difference in resolution between a picture produced by a projector using native 4K chips and one using the 3LCD pixel-shift technology.
Now, with the new 4K DLP chip, the math says that since the physical resolution is doubled as compared to 3LCD, that should push the subjective results on the screen from a perceived (say) 90% of 4K to a potential of 95% 4K. However, once again the math is misleading. This is not what happens. The detail resolution produced by the 4K DLP chip is for all practical purposes indistinguishable from pure native 4K, even when examined from very close up. The ultimate test of this is the display of a 4K resolution 1-pixel line test pattern which contains alternating black and white lines that are each one pixel wide. When viewing this test pattern on a projector using the 4K DLP chip, each line is clean and clearly defined, and you see distinct pixel definition when examining it up close. It is not possible to achieve this level of precision using the pixel shift technology with standard HD 1080p chips.
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