Most of the reconstruction-based robust adaptive beamforming (RAB) algorithms require covariance matrix reconstruction (CMR) by high-complexity integral computation. A Gauss-Legendre quadrature (GLQ) method with highest algebraic precision in interpolation-type is proposed to reduce complexity. The interference angular sector RAB regarded as GLQ range, and zeros three-order Legendre orthogonal ...

In order to investigate the effect of the number of projections on digital tomosynthesis image quality, images were acquired over a 40 degree arc and sampled into sets of 2 to 41 projections used as input to three different reconstruction algorithms, namely the shift-and-add, Feldkamp-Davis-Kress filtered back projection algorithms, and the simultaneous algebraic reconstruction technique. The v...

Reconstruction of the microtic ear represents one of the most demanding challenges in reconstructive surgery. In this review the two most commonly used techniques for ear reconstruction, the Brent and Nagata techniques, are addressed in detail. Unique to this endeavor, the originator of each technique has been allowed to submit representative case material and to address the pros and cons of th...

We apply a new algebraic multigrid method for solving computer vision problems with constraints. As particular examples we solve the “shape from photometric stereo” and “image binarization” problems. A variational formulation is applied to the problem of shape reconstruction from three or more images of an object with the same viewing direction and different lighting conditions, supplemented by...

BACKGROUND Computed Tomography (CT) is a technology that obtains the tomogram of the observed objects. In real-world applications, especially the biomedical applications, lower radiation dose have been constantly pursued. To shorten scanning time and reduce radiation dose, one can decrease X-ray exposure time at each projection view or decrease the number of projections. Until quite recently, t...

BACKGROUND The sparse CT (Computed Tomography), inspired by compressed sensing, means to introduce a prior information of image sparsity into CT reconstruction to reduce the input projections so as to reduce the potential threat of incremental X-ray dose to patients' health. Recently, many remarkable works were concentrated on the sparse CT reconstruction from sparse (limited-angle or few-view ...

The book offers an overview of important part current research in algebraic geometry and related history mathematics.

Digital automation in reconstruction of apictorial hand torn paper document increases efficacy and reduces human effort. Reconstruction of torn document has importance in various fields like archaeology, art conservation and forensic sciences. The devised novel technique for hand torn paper document, consists of pre-processing, feature extraction and reconstruction phase. Torn fragment’s bounda...

PURPOSE To develop a general phase regularized image reconstruction method, with applications to partial Fourier imaging, water-fat imaging and flow imaging. THEORY AND METHODS The problem of enforcing phase constraints in reconstruction was studied under a regularized inverse problem framework. A general phase regularized reconstruction algorithm was proposed to enable various joint reconstr...