Image metamorphosis is a popular technique for creating a smooth transition between two images. In this paper, we present a new object-oriented method for range image metamorphosis. A metamorphosed range image X(t) is represented by a linear Minkowski combination (l-t)A + tB of two given range images A and B based on the theory of Mathematical Morphology. In consideration of the different features of individual objects in range images, the presented method is extended to three different kinds of models, i.e. volume metamorphosis between convex objects, volume metamorphosis between concave objects, and volume metamorphosis between convex-decomposed concave objects. Finally, some practical examples for range image metamorphosis are given to demonstrate the principle and efficiency of the suggested approach.