Do you need the computer to run a desktop smart monitor?

a "monitor" normally accepts a variety of inputs.
video rgb chroma-luminance ega xga sxga ...
newer monitors accept hdmi dvi

a TV will accept an antenna newer tvs all the above too

desktop implies a smaller size for a computer

Smart probably implies you dont need to set a bunch of switches for it to know what input is active and it may turn on with the batamax vhs dvd or whatever player you throw at it and only need to push a button if 2 devices are connected