Gengsheng L Zeng,Ya Li
Gengsheng L Zeng
An analytical inversion formula for the exponential Radon transform with an imaginary attenuation coefficient was developed in 2007 (2007 Inverse Problems 23 1963-71). The inversion formula in that paper suggested that it is possible to obt...
Ozan Öktem,Chong Chen,Nevzat Onur Domaniç et al.
Ozan Öktem et al.
We introduce a reconstruction framework that can account for shape related a priori information in ill-posed linear inverse problems in imaging. It is a variational scheme that uses a shape functional defined using deformable templates mach...
An Inverse Problem for a Class of Conditional Probability Measure-Dependent Evolution Equations [0.03%]
一类条件概率测度依赖的发展方程的逆问题
Inom Mirzaev,Erin C Byrne,David M Bortz
Inom Mirzaev
We investigate the inverse problem of identifying a conditional probability measure in measure-dependent evolution equations arising in size-structured population modeling. We formulate the inverse problem as a least squares problem for the...
Fourier rebinning and consistency equations for time-of-flight PET planograms [0.03%]
时间飞行型PET平面图的傅立叶重整和一致性方程
Yusheng Li,Michel Defrise,Samuel Matej et al.
Yusheng Li et al.
Due to the unique geometry, dual-panel PET scanners have many advantages in dedicated breast imaging and on-board imaging applications since the compact scanners can be combined with other imaging and treatment modalities. The major challen...
Parallel Magnetic Resonance Imaging as Approximation in a Reproducing Kernel Hilbert Space [0.03%]
再生核希尔伯特空间中并行磁共振成像的近似方法
Vivek Athalye,Michael Lustig,Martin Uecker
Vivek Athalye
In Magnetic Resonance Imaging (MRI) data samples are collected in the spatial frequency domain (k-space), typically by time-consuming line-by-line scanning on a Cartesian grid. Scans can be accelerated by simultaneous acquisition of data us...
A projection-based approach to diffraction tomography on curved boundaries [0.03%]
基于投影的曲面边界衍射层析成像方法
Gregory T Clement
Gregory T Clement
An approach to diffraction tomography is investigated for two-dimensional image reconstruction of objects surrounded by an arbitrarily-shaped curve of sources and receivers. Based on the integral theorem of Helmholtz and Kirchhoff, the appr...
E Katsevich,A Katsevich,G Wang
E Katsevich
In many practical applications, it is desirable to solve the interior problem of tomography without requiring knowledge of the attenuation function fa on an open set within the region of interest (ROI). It was proved recently that the inter...
A direct D-bar reconstruction algorithm for recovering a complex conductivity in 2-D [0.03%]
二维复电导率的直接D-巴算法重建
S J Hamilton,C N L Herrera,J L Mueller et al.
S J Hamilton et al.
A direct reconstruction algorithm for complex conductivities in W2,∞ (Ω), where Ω is a bounded, simply connected Lipschitz domain in ℝ2, is presented. The framework is based on the uniqueness proof by Francini [Inverse Problems 20 2000]...
Accelerated perturbation-resilient block-iterative projection methods with application to image reconstruction [0.03%]
加速扰动鲁邦分块迭代投影方法及其在图像重建中的应用
T Nikazad,R Davidi,G T Herman
T Nikazad
We study the convergence of a class of accelerated perturbation-resilient block-iterative projection methods for solving systems of linear equations. We prove convergence to a fixed point of an operator even in the presence of summable pert...
Preconditioned Alternating Projection Algorithms for Maximum a Posteriori ECT Reconstruction [0.03%]
预处理交替投影最大后验概率ECT重建算法
Andrzej Krol,Si Li,Lixin Shen et al.
Andrzej Krol et al.
We propose a preconditioned alternating projection algorithm (PAPA) for solving the maximum a posteriori (MAP) emission computed tomography (ECT) reconstruction problem. Specifically, we formulate the reconstruction problem as a constrained...