Skeletal Implicit Surface Reconstruction from Sections for Flexible Body Simulation

We describe an automatic surface reconstruction technique from a set of planar data points organised in parallel sections. The reconstruction employs skeletal implicit surfaces. Two key points in this study are: Calculation of the 3D skeleton by establishing a correspondence between each pair of 2D Voronoi skeleton of two neighbouring sections, Use of a uniform field function necessitating the introduction of the notion of ”weighted skeleton”. Another key point of this work is the proposition of an animation methodology by transforming the skeleton into a deformable mass/spring system. This work has been used in the context of a medical project to simulate the dynamic behaviour of organs during the conformal radiotherapy treatment.