Inhomogeneous Axial Deformation for Orthopedic Surgery Planning

Abstract

Intuitive global deformation of complex geometries is very important for many applications. In particular, in the biomedical domain, where interactive manipulation of 3D organic shapes is becoming an increasingly common task. Axial deformation is natural and powerful approach for modeling of tubular structures, like bones. With this approach, the embedding space is associated with deformable curve, the handle axis, which guides deformation of the embedded model. As a result, the produced deformation is homogeneous and independent of the model representation and shape. However, in many situations it is beneficial to incorporate geometric and physical properties of the model into the deformation formulation. This leads to inhomogeneous axial deformation which allows to achieve more intuitive results with less user interaction. In this work, the inhomogeneous axial deformation is achieved through deformation distribution function (DDF) induced on the guiding axis by the embedded model. Since with the proposed formulation the DDF can be pre-computed, run-time computational complexity of the method is similar to the original axial deformation approach.