Reconstruction of scattered data in fetal diffusion MRI

Reconstruction of Scattered Data in Fetal Diffusion MRI

In this paper we present a method for reconstructing D-MRI data on regular grids from sparse data without assuming specific diffusion models. This is particularly important when studying the fetal brain in utero, since registration methods applied for movement and distortion correction produce scattered data in spatial and angular (gradient) domains. We propose the use of a groupwise registrati...

Towards using scattered PET emission data for reconstruction of attenuation map in PET/MRI

Department of Physics of Molecular Imaging Systems, Institute for Experimental Molecular Imaging, RWTH Aachen University, Aachen, Germany Despite promising advances, attenuation correction of PET data remains challenging in PET/MRI. Known approaches to estimating attenuation maps from PET emission data take into account only true coincidences and fail to completely determine the attenuation map...

Reconstruction of Kinematic Surfaces from Scattered Data ∗

Given a surface in 3-space or scattered points from a surface, we present algorithms for fitting the data by a surface which can be generated by a one–parameter subgroup of the group of similarities. These surfaces are general cones and cylinders, surfaces of revolution, helical surfaces and spiral surfaces.

Reconstruction of Multivariate Functions from Scattered Data

Super-resolution Reconstruction of Fetal Brain MRI

Current fetal MRI practice involves fast 2D slice acquisitions. The reconstruction of volumetric fetal brain MRI from these acquisitions and its post-processing is greatly desired for studying in-utero brain development. The previously developed reconstruction techniques rely on iterations of slice-tovolume registration and scattered data interpolation. In contrast, the technique introduced her...