Skip to main content
. Author manuscript; available in PMC: 2011 Sep 15.
Published in final edited form as: J Biomech Eng. 2010 Oct;132(10):101004. doi: 10.1115/1.4002430

Figure 5.

Figure 5

Registration of a sphere to a pumpkin: The deformed surface was created by growth and folding of the reference surface. (a) A sphere of radius one was used for the YAS (b) The OAS surface was created by adjusting the radius as a function of the spherical coordinates θ and ϕ (c) Initial distortions are visualized by areal expansion (dilatation ratio, J) and the eigenvectors associated with first (blue) and second (green) principal strains. The eigenvectors are scaled by their corresponding principal stretches. (d) After relaxation, the resulting areal expansion is uniform over the surface, but the eigenvectors associated with stretch show the necessary anisotropic expansion required for the sphere to grow into the lobed surface.