Deformable modeling using a 3D boundary representation with quadratic constraints on the branching structure of the Blum skeleton

Inf Process Med Imaging. 2013:23:280-91. doi: 10.1007/978-3-642-38868-2_24.


We propose a new approach for statistical shape analysis of 3D anatomical objects based on features extracted from skeletons. Like prior work on medial representations, the approach involves deforming a template to target shapes in a way that preserves the branching structure of the skeleton and provides intersubject correspondence. However, unlike medial representations, which parameterize the skeleton surfaces explicitly, our representation is boundary-centric, and the skeleton is implicit. Similar to prior constrained modeling methods developed 2D objects or tube-like 3D objects, we impose symmetry constraints on tuples of boundary points in a way that guarantees the preservation of the skeleton's topology under deformation. Once discretized, the problem of deforming a template to a target shape is formulated as a quadratically constrained quadratic programming problem. The new technique is evaluated in terms of its ability to capture the shape of the corpus callosum tract extracted from diffusion-weighted MRI.

Publication types

  • Research Support, N.I.H., Extramural

MeSH terms

  • Algorithms*
  • Computer Simulation
  • Corpus Callosum / anatomy & histology*
  • Diffusion Tensor Imaging / methods*
  • Humans
  • Image Enhancement / methods
  • Image Interpretation, Computer-Assisted / methods*
  • Imaging, Three-Dimensional / methods*
  • Models, Neurological
  • Nerve Fibers, Myelinated / ultrastructure*
  • Neural Pathways / anatomy & histology
  • Pattern Recognition, Automated / methods*
  • Reproducibility of Results
  • Sensitivity and Specificity