Ye Wenxing, Portnoy Sharon, Entezari Alireza, Vemuri Baba C, Blackband Stephen J
Department of CISE, University of Florida, Gainesville, FL 32611, USA.
Proc IEEE Int Symp Biomed Imaging. 2011 Jun 9;2011:397-400. doi: 10.1109/ISBI.2011.5872432. Epub 2011 Mar 30.
This paper introduces a tomographic approach for reconstruction of diffusion propagators, ( ), in a box spline framework. Box splines are chosen as basis functions for high-order approximation of ( ) 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 of ( ) reconstruction as the order of basis functions is increased.
本文介绍了一种在盒样条框架下用于重建扩散传播子（ ）的断层扫描方法。选择盒样条作为从扩散信号对（ ）进行高阶近似的基函数。盒样条是B样条到多变量设置的推广，在断层扫描重建的背景下特别有用。（张量积B样条或不可分离的）盒样条的X射线或拉东变换是一个盒样条——盒样条空间在拉东变换下是封闭的。我们展示了合成和真实的多壳扩散加权磁共振数据实验，这些实验表明随着基函数阶数的增加，（ ）重建的准确性提高。
