Morphological Normalized Binary Object Metamorphosis

The paper describes a method for binary 2D and 3D object methamorphosis using a normalized morphological interpolation function and a mask. Comparing with the existing methods the proposed one has two important advantages: the normalization of the interpolation function and the new formulation of the interpolator. The first one allows obtaining steady and smooth transfomation of the area (volume) of the interpolated objects. The new formulation of the interpolator introduces a mask inside which the interpolation is performed. Owing to the the mask one can define the area inside which the interpolation is performed. The new kind of mask is also proposed it is equal to the convex hull of both input objects. In the paper also two examples of the interpolaton of 2D and 3D objects are given. The method can be applied to image reconstrucion, as well as for the computer-aided animations.