Summary: Image-morphing techniques are often employed to generate fluid transitions between two reference images. Many algorithms have been proposed in this area. Existing warp functions used in morphing algorithms are one-to-one. Consequently, when some features are visible in only one of the reference images, ''ghosting'' problems will appear in some in-between images. In addition, since the control features have global effects, there is no way to control different objects in the scene separately. In this paper, two new morphing approaches are introduced. In the first approach, called region-based morphing, regions are specified and morphed separately. In the second approach, called layer-based morphing, regions are defined in different layers. Hidden information is recovered and is used to solve the visibility problems.