3D shape modeling and reconstruction

A 3D adaptable balloon model and its application in shape segmentation and representation are presented in this paper. The 3D adaptable balloon model is derived from an internal and external forces balance equation where we introduce spatially-varying internal parameter functions and a new external force. The new model can overcome some problems encountered with the original balloon models presented by Cohen et al. and deformable surface models presented by Terzopoulos et al. We solve the adaptable balloon model for surface reconstruction using finite difference method to yield a faster convergent linear system. The experimental results of recovering surfaces in 3D images show the efficacy of the proposed scheme.