1. A morphing processing apparatus, which performs a morphing process for the smooth transformation of one figure into another, comprising: an outline extractor, for receiving two target figures for said morphing process and for extracting a set of outlines for each of said target figures; an outline arrangement unit, for retaining one specific outline of each of said two sets of outlines extracted for said target figures and for deleting the other outlines; a smoothing processor, for performing a smoothing process for the two outlines for said target figures that are retained by said outline arrangement unit in order to prevent self-intersection during said morphing process; and a morphing execution unit, for performing said morphing process in response to the progress made by said smoothing process performed by said smoothing processor.