A shape interpolation technique based on inclusion relationships and median sets

Some image processing and analysis applications require performing image interpolation. This paper focuses on interpolation approaches that treat the shapes and the structures of binary images. A summary of some interpolation methods is presented, and their behavior concerning inclusion relationships and homotopy issues is studied. An inclusion relationship property that considers these aspects is introduced in this work. Furthermore, a complete technique based on this property in a recursive manner is presented. The paper shows that such a property can improve shape interpolation results in a relatively easy manner, particularly those concerning inclusion relationships between shapes. Several experimental results are provided.