Several factors can affect the quality of a projected image on a screen:
* the projector
* the screen material
* the ambient light

The light in the room can really ruin the quality of a projected image.
It removes all the fine details.

Every projection screen manufacturer offers multiple finishes.
The right selection depends on various factors.

If the ambient light of the room can be controlled,
white smooth material finish is the preferred choice.
There are several white surfaces available with different gains and coatings.
If the goal is to project 4K images, consider the smother white material available

independent of the gain.The gain is dependent on the light output of the projector.

If the ambient light of the room cannot be controlled,
dark material finish should be considered.
There are multiple dark finishes available. A grey surface could be enough, but in

some cases, there is still too much ambient light,where an ALR (Ambient Light Rejection)
material would be a better option.

If the goal is to hear the sound coming from behind the screen surface,
an acoustically transparent woven material is the way to go.
Other options are perforated and micro perforated materials.
There are white and grey acoustically transparent material options.
The aforementioned criteria for choosing screen color
also applies to acoustically transparent material.

I have heard multiple times,
“I do not need a projection screen, I can project on the wall”
I disagree.
A painted wall will never be as smooth as it needs to be
to get the best projected image possible.