I still see value in renders that are larger that the visible screen area as there is then detail available to be zoomed in on (to the point where pixellation becomes evident), though DPI settings are still irrelevant here. Another catch with print media DPI is whether or not the printer driver or printer is halftoning or dithering an image to achieve the available colour gamut. In this case, the image pixel DPI may be significantly less than the DPI the printer actually renders onto the page to give the optical illusion of the required pixel colour/shade.

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My ShareCG Stuff

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