NoA methodology for shape morphing using partial differential
equation (PDE) surfaces is presented in this work.
The use of the PDE formulation shows how shape morphing
can be based on a boundary-value approach by which
intermediate shapes can be created. Furthermore, the
mathematical properties of the method give rise to several
alternatives in which morphing one shape into another
can be achieved. Three of these alternatives are presented
here. The first one is based on the gradual variation of
the weighted sum of the boundary conditions for each
surface, the second one consists of varying the Fourier
mode for which the PDE is solved whilst the third results
from a combination of the first two. Examples showing the
efficiency of these methodologies are presented. Thus, it is
shown that the PDE based approach for morphing, when
combined with a parametric variation of the boundary
conditions, is capable of obtaining smooth intermediate
surfaces automatically
