Anatomical Object Volumes from Deformable B-spline Surface Models

Accurate delineation of anatomical objects in 3D vol-umetric data is a signiicant problem in medical imaging. We have built a system that takes as input a spatial stack of 2D image slices being studied. The output of the system is a smooth 3D surface delineating the medical structure of interest, and the volume enclosed by the 3D surface. This paper presents a new method to represent a 3D anatomical object by a de-formable B-spline tube, that facilitates the calculation of the volume enclosed based on a closed-form volume calculation formula. In order to validate the deformable B-spline surface tting and associated volume calculation , 19 simulated 3D images were considered and theoretical volumes were compared with volumes produced by our system. The errors were less than 4:9%.