title: Deformable Registration of Feature-Endowed Point Sets Based on Tensor Fields.
abstract: The main contribution of this work is a framework to register anatomical structures characterized as a point set where each point has an associated symmetric matrix. These matrices can represent problem-dependent characteristics of the registered structure. For example, in airways, matrices can represent the orientation and thickness of the structure. Our framework relies on a dense tensor field representation which we implement sparsely as a kernel mixture of tensor fields. We equip the space of tensor fields with a norm that serves as a similarity measure. To calculate the optimal transformation between two structures we minimize this measure using an analytical gradient for the similarity measure and the deformation field, which we restrict to be a diffeomorphism. We illustrate the value of our tensor field model by comparing our results with scalar and vector field based models. Finally, we evaluate our registration algorithm on synthetic data sets and validate our approach on manually annotated airway trees.
authors.affiliation: Brigham and Women's Hospital and Harvard Medical School, Boston, MA, USA.
authors.forename: Demian
authors.initials: D
authors.lastname: Wassermann
authors.affiliation: Brigham and Women's Hospital and Harvard Medical School, Boston, MA, USA.
authors.forename: James
authors.initials: J
authors.lastname: Ross
authors.affiliation: Brigham and Women's Hospital and Harvard Medical School, Boston, MA, USA.
authors.forename: George
authors.initials: G
authors.lastname: Washko
authors.affiliation: Brigham and Women's Hospital and Harvard Medical School, Boston, MA, USA.
authors.forename: William M
authors.initials: WM
authors.lastname: Wells
authors.affiliation: Brigham and Women's Hospital and Harvard Medical School, Boston, MA, USA.
authors.forename: Raul
authors.initials: R
authors.lastname: San Jose-Estepar