Merging polyhedral shapes with scattered features

The paper presents a technique for merging two genus-0 polyhedra. Merging establishes correspondences between vertices of the models as a first step in a 3D morphing process. The technique allows for the specification of scattered features to be aligned. This is accomplished with the following three steps: 1. inital embeddings of the polyhedra on unit spheres are computed, 2. the embeddings are deformed so that user-defined features (vertices) coincide on the spheres, and 3. an overlay of the subdivisions is computed and the aligned vertices are fused in the merged model.