Pretty low resolution graphics there. The text is covering the entire screen. It doesn't compare to this:
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If you look at the environments they look equally real. The klingons on the discovery holodeck were in the process of being deactivated from being shot probably. The same thing happens on 24th century holodecks
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The one that's not constrained within the area of the holo-emitter, a known vulnerability for 24th century holograms. Do they even mention holo emitters on Discovery? Holograms can appear just about anywhere on Discovery it seems like
The one with all of the fancy details on it. TNG one is just a ball with a couple ships on it.
Isn't that why Pike is having them taken out? They are integrated into the entire ships systems (no homoemitters needed) but it is a pretty big security risk and what not....