The image modification process is sometimes called color transfer or, when grayscale images are involved, brightness transfer function (BTF); it may also be called photometric camera calibration or radiometric camera calibration.
(Indeed, the example shown on this page predominantly transfers shading other than a small orange region within the image that is adjusted to yellow.)
In a wide-ranging review, Faridul and others [1] identify a third broad category of implementation, namely user-assisted methods.
Examples of such applications are: Image differencing, registration, object recognition, multi-camera tracking, co-segmentation and stereo reconstruction.
The use of the terms source and target in this article reflects the usage in the seminal paper by Reinhard et al.[2] However, others such as Xiao and Ma[7] reverse that usage and indeed it seems more natural to consider that the colors from a source image are directed at a target image.