title: BOX SPLINE BASED 3D TOMOGRAPHIC RECONSTRUCTION OF DIFFUSION PROPAGATORS FROM MRI DATA.
abstract: This paper introduces a tomographic approach for reconstruction of diffusion propagators,P(r), in a box spline framework. Box splines are chosen as basis functions for high-order approximation ofP(r) from the diffusion signal. Box splines are a generalization of B-splines to multivariate setting that are particularly useful in the context of tomographic reconstruction. The X-Ray or Radon transform of a (tensor-product B-spline or a non-separable) box spline is a box spline - the space of box splines is closed under the Radon transform.We present synthetic and real multi-shell diffusion-weighted MR data experiments that demonstrate the increased accuracy ofP(r) reconstruction as the order of basis functions is increased.
authors: Department of CISE, University of Florida, Gainesville, FL 32611, USA.
authors: Wenxing
authors: W
authors: Ye
authors: Sharon
authors: S
authors: Portnoy
authors: Alireza
authors: A
authors: Entezari
authors: Baba C
authors: BC
authors: Vemuri
authors: Stephen J
authors: SJ
authors: Blackband
keywords: Box Splines; DW-MRI; Diffusion Propagator; Tomography