Morphological modeling and deformation of 3D objects

Summary form only given. I first introduce a new modeling technique which allows a total control of the volume (or mass) of objects. I also present former work in the domain. The technique is aimed at producing algebraic operators on objects in a similar way to CGS composition. In our case, I add volume control. I first study the "sum" of two objects which is such that the volume of the sum is equal to the sum of the volumes, for the "star" case. Then I give its generalisation to the case of all types of 3D objects. Then I describe how to construct the "difference" operator. An application of this concept to 3D object morphing is presented.