What is the relationship between diamond pixels and difference resolution, projector science

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Just happened to see a post today, the landlord mentioned the "diamond pixel problem, the resolution of 1280800 is generated by the jitter, the actual resolution of the chip z3s and z4x chip is 640400"
The meaning of the landlord's post is actually not straightforward. The pixels of z3s and z4x are actually how they return. Why use diamond-shaped pixels to arrange them? It's more complicated than it really is. I'll be a simple science man.

First of all, let's take a look at the number of arrays of this 0.45 chip. The official data is 1140912. It's very odd, so compulsively point-to-point, I'm sorry, 1280800 is absolutely impossible.

Then, let's take a look at the pixel problem. This is the focus of the debate. Why does the landlord say 640,480? In fact, the landlord understands simplification, because we have been talking about the calculation of the diamond pixel plus difference, but it is not The principle of simple half of real resolution is reduced by half.

I now use cad to simply rank the 16:10 resolution ratio.


As shown in the figure, a white rectangle rotated 45 degrees is a diamond-shaped pixel point, a green circle is an odd-numbered row center point, a red circle is an even-numbered row center point, and a yellow extension line is a resolution.
This is very clear, in fact, we use the number of pixels is 810, and we get the resolution is 1610, half the pixels to save the effect. . .

Finally, we take a look at the schematic of the official dlp4500 chip technical documentation!



In fact, from the perspective of the technology of the 4500 chip, it has already belonged to the revolutionary generation of diamond-shaped pixels. The number of pixels has not been reduced, but the drawbacks of the diamond difference calculation still exist.

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