A novel reconstruction technique, called Wiener Filtered Reconstruction Technique (WIRT), for sparse-data tomographic imaging is introduced. This six-step method applies a spatially varying constrained leastsquares filter combined with a regularization method based on total variation. The WIRT reconstruction is implemented in the frequency domain, where the information based on measurements and...

Regularization methods are commonly used in X-ray CT image reconstruction. Different regularization methods reflect the characterization of different prior knowledge of images. In a recent work, a new regularization method called a low-dimensional manifold model (LDMM) is investigated to characterize the low-dimensional patch manifold structure of natural images, where the manifold dimensionali...

This paper examines the use of the Algebraic Reconstruction Technique (ART) and related techniques to reconstruct 3D objects from a relatively sparse set of cone-beam projections. Although ART has been widely used for cone-beam reconstruction of high-contrast objects, e.g. in computed angiography, the work presented here explores the more challenging low-contrast case which represents a little ...

In this paper we have discussed what appears to be a superior implementation of the Algebraic Reconstruction Technique (ART). The method is based on 1) simultaneous application of the error correction terms as computed by ART for all rays in a given projection; 2) longitudinal weighting of the correction terms back-distributed along the rays; and 3) using bilinear elements for discrete approxim...

A method for reconstructing the 3D shape of a single grain in a polycrystal from far-field diffraction data is presented. The reconstruction is performed using an iterative algorithm, algebraic reconstruction technique (ART), to solve a linear system of equations obtained from data from the Boxscan technique. The Boxscan technique is a 3D X-ray diffractiontype scanning technique, which – in geo...

[1] We present a flexible and robust direct reconstruction method for magnetospheric radio tomography. We show that for a combined reconstruction of plasma density Ne and magnetic field B, the direct reconstruction method performs as well as popular iterative methods such as algebraic reconstruction technique (ART) and multiplicative algebraic reconstruction technique (MART) for large number of...

Algebraic Reconstruction Technique (ART) is a widely-used iterative method for solving sparse systems of linear equations. This method (originally due to Kaczmarz) is inherently sequential according to its mathematical definition since, at each step, the current iterate is projected toward one of the hyperplanes defined by the equations. The main advantages of ART are its robustness, its cyclic...

We separately applied three different projection access orders (the multilevel scheme (MLS), the sequence access scheme (SAS) and the random permutation scheme (RPS)) to the algebraic reconstruction technique (ART) in an attempt to improve low-contrast object detection in computed tomography (CT). We used both simulated (from various numbers of projections of low-contrast and contrast detail ph...

Reduction of the object dose by reducing X-ray exposure has the inevitable consequence of increasing statistical noise in the projections. A set of projections with a 10% noise, collected during the test experiment at the Institute of Crystallography RAS, were used to reconstruct a water phantom. Two different reconstruction approaches (Algebraic Reconstruction Technique (ART) and Filtered Back...

The Algebraic Reconstruction Technique (ART) reconstructs a 2D or 3D object from its projections. It has, in certain scenarios, many advantages over the more popular Filtered Backprojection approaches and has also recently been shown to perform well for 3D cone-beam reconstruction. However, so far ART’s slow speed has prohibited its routine use in clinical applications. In this paper, we devise...