Metamorphosis for Polyhedron Using Generalized Morphology Transformation

Generalized morphologic transformation can solve the metamorphosis problem of two non-homotopic objects, overcome the shortcomings of boundary-based and volume-based methods. It is fulfiled by decomposing3D object into convex subsets, the morphing of each non-rigid subset is performed as the sum of two parts：non-rigid body metamorphosis and rigid body local rotation. The shapes of each convex subset before and after each step of morphing are matched by using approximate skeleton. Experiments show that this method presents a smooth boundary of metamorphosis, gives high precision alignment, lower cost of calculation and can be used in CAD, virtual reality and3D object reconstruction for medicine engineering.