SPATIAL FREE-FORM DEFORMATION WITH SCATTERED DATA INTERPOLATION METHODS

The problem of deforming a given spatial shape is treated. There are m any examples of applications in visual computing: fitting surfaces to sampled data points in space, correction of distortions in tomographic imaging, modeling of free-form geometric shapes, and animating metamo rphoses of geometric objects. Our solution warps the space surrounding the given shape with the effect of deforming the embedded shape, too, with a function derived with scattered data interpolation methods fro m the displacements of a finite set of control points that can be plac ed arbitrarily and adaptively. We present algorithms implementing this idea on parametric surfaces and rasterized volume data.