The perceptual rendering intent compresses the larger color spaces so it fits into the smaller one, while retaining the effective distance between colors (They are adjusted in relation to the black and white points of each color space). Each colors coordinates in the color space are moved to a new position, which makes exact reproduction of the colors coming from the transitional LAB color space impossible, but preserves the general impression of the colors in the image. Color gradients for example will remain gradients, but their start and endpoint colors will likely not exactly match the original ones. The most common use for the perceptual rendering intent is to reproduce images, photos etc. where the overall impression of the image is more important than matching individual colors.
Saturation is a modified version of the perceptual rendering intent that places greater importance on the saturation of colors. Using the saturation rendering intent, color gradients will be printed with higher color intensities, but become less smooth in their color transitions. This is useful for vector graphics like diagrams and charts that deal with full color areas rather than smooth transitions.
Relative Colorimetric with Black Point Compensation
This rendering intent combines the relative colorimetric rendering intent with the perceptual rendering intent. The reference white point is adjusted to that of the medium, which affects all colors in the image even if they are in gamut. Out of gamut colors are handled similar to the perceptual rendering intent, in that they are moved to the outer edges of the color space, i.e. as close as possible to their original out of gamut color value.
This results in more saturation but less texture in dark colors compared to the perceptual rendering intent and more texture in dark colors compared to the relative colorimetric rendering intent.