When converting from a larger colour space to a smaller colour space, all displayable colours, including the white point, of the original colour space are directly transferred to the destination colour space.
Any colours that lie outside the destination colour space are positioned at its edge (Clipping).
The white point of the original colour space is adjusted to that of the destination colour space, and all other colours are also shifted in relation to it. Colours that lie outside the destination colour space are moved to its edge (clipping).
This method is particularly suitable for achieving the most accurate colour reproduction possible when converting from CMYK to CMYK, or even from less saturated RGB images to CMYK, as long as the colour spaces are of similar size.
Depending on the CMS, e.g. by Adobe or Apple, the rendering intents can differ slightly, as they are not standardized.
There are four types of rendering intents, defined by ICC: