Morphing & Registration

FastRBFTM makes RBF surface representation possible and offers new possibilities for morphing, warping and registration.

Blending

The above example illustrates the smooth blending properties of an RBF. Here a single RBF describes two surfaces simultaneously. The surface on the left corresponds to a particular iso-surface threshold, while the surface on the right corresponds to another. The intervening surfaces correspond to intermediate threshold values.

Registration

The point-wise registration problem encountered in 2D and 3D imaging is similar to the morphing problem. Registration requires matching landmarks between two images and distorting one image to align with the other. It is possible to do both rigid and non-rigid body registration using RBFs. A least energy solution is derived depending on the choice of basis function.