First image is a sublimated polo. The advantages are a very crisp shiny print. The colour and look of the collar and pocket is matched well to the rest of the shirt. The image is also at a very high resolution (up to 720 dpi), a very broad range of colour, and the colours are very resistant to fading and bleeding.
sublimation
The second image is a cotton/polyester jacquard knit with embroidery. The advantages are a shirt that cannot be duplicated by any other manufacturing system, the cotton rich blend is more comfortable and less likely to irritate than polyester.
jacquard knit