In computer graphics the term morphing denotes the gradual transition from one predefined shape, the morph source, to another, the morph target. Here are a few links on graphics morphing:

Stanford computer graphics laboratory, Volume morphing.
Warping and Morphing

Music morphing is morphing music instead of graphics. We also allow the number of morph sources/targets to be set by the user. This is how we define Music Morphing.

Papers

Interactive narratives like computer games pose specific problems for the musician since they involve non-deterministic storytelling. Using the terminology of the theatre we conclude a number of requirements that must be met in order to generate responsive music: The orchestra need a clear view of the stage.
Musification and View