Joris,
Presuming you need the Clipping Path as vector for the cutting and that you can have unused/invisible parts of the image outside the cut, you can try this, after creating the Clipping Paths, and remember to keep a backup of the original artwork (and intermediate steps):
1) Select each Clipping Path and apply Object>Path>Offset Path with a suitable small positive value,
2) Copy the original image and save it at the reduced size corresponding to the W and B of the offset path, then remove both the offset path and the original image, then centre align it with the Clippping Path.