The paper presents an approach to modeling scenes composed of multiple volumes with a possibility of a fast navigation through such a scene as well as interactive editing of volumes in it. This work is oriented towards an artistic application that includes selection and editing of new shapes for further production in real material. The objects are edited in terms of interactive carving and metamorphosis operations. Initial shapes are represented as functionally defined 3D volume models with implicit surfaces. The metamorphosis generates a variety of shapes one of which can be selected by an artist. Once the artist is satisfied with the metamorphosis results, he/she can perform carving on its surface to fine tune an overall appearance. Interactive visualization is based on the isosurface polygonization with some optimizations for interactive object editing. The implementation is efficient enough to be able to maintain interactive rate with all operations even on an ordinary personal computer with an average graphic card.