Free-Form Deformation with Rational DMS-Spline Volumes

In this paper, we propose a novel free-form deformation (FFD) technique,RDMS-FFD (Rational DMS-FFD), based on rational DMS-spline volumes.RDMS-FFD inherits some good properties of rational DMS-spline volumesand combines more deformation techniques than previous FFD methodsin a consistent framework, such as local deformation, controllattice of arbitrary topology, smooth deformation, multiresolutiondeformation and direct manipulation of deformation. We firstintroduce the rational DMS-spline volume by directly generalizingthe previous results related to DMS-splines. How to generate atetrahedral domain that approximates the shape of the object to bedeformed is also introduced in this paper. Unlike the traditionalFFD techniques, we manipulate the vertices of the tetrahedral domainto achieve deformation results. Our system demonstrates thatRDMS-FFD is powerful and intuitive in geometric modeling.