This paper proposes a robust multiresolution approach to detecting the structure of a noisy range image. It is assumed that the original image, consisting of planar and quadratic surfaces, is corrupted by heavy noise composed of Gaussian background noise and impulse noise. A basic principle of our approach is the exploitation of the structure of scan lines for detecting the image structure. Thu...

The binary tomographic reconstruction problem consists of finding a binary image from (very) few projections (line sum of pixels) along given directions [1]. An efficient heuristic algorithm is introduced [2]. The first (initialization) step is similar to the traditional “filtered backprojection” algorithm used for standard tomographic reconstructions, but based on a non-linear transform, s = ...

The collected MRI signal and noise, S’+η’, can be the complex-valued m-by-n 2D Fourier transform of the m-by-n image, ρ’. Complex-valued Fourier reconstruction can be performed through a real-valued isomorphism such that ρ=ΩS.1 S is a stack of the m rows of n real columns above a stack of the m rows of n imaginary columns, a 2mn x 1 vector. Ω is a Fourier matrix, and ρ is the reconstructed imag...

The data of interest are assumed to be represented as Ndimensional real vectors, and these vectors are compressible in some linear basis B, implying that the signals can be reconstructed accurately using only a small number of basis function coefficients associated with B. A new approach based on Compressive Sensing (CS) framework which is a theory that one may achieve an exact signal reconstru...

This paper studies the problem of the restoration of images corrupted by mixed Gaussian-impulse noise. In recent years, low-rank matrix reconstruction has become a research hotspot in many scientific and engineering domains such as machine learning, image processing, computer vision and bioinformatics, which mainly involves the problem of matrix completion and robust principal component analysi...

with the arrival of increasingly higher resolution pet systems, small amounts of motion can cause significant blurring in the images, compared to the intrinsic resolutions of the scanners. in this work, we have reviewed advanced correction methods for the three cases of (i) unwanted patient motion, as well as motions due to (ii) cardiac and (iii) respiratory cycles. for the first type of motion...

introduction: the main goal of spect imaging is to determine activity distribution inside the organs of the body. however, due to photon attenuation, it is almost impossible to do a quantitative study. in this paper, we suggest a mathematical relationship between activity distribution and its corresponding projections using a transfer matrix. monte carlo simulation was used to find a precise tr...

introduction: radiation imaging is one of the applicable methods in diagnostic medicine and nondestructive testing for industrial applications. in nondestructive 3d imaging, in addition to the radiation source, there is a requirement for a suitable detection system, data acquisition system, mechanical sections for moving objects, reconstruction algorithm and finally a computer for processing an...

INTRODUCTION In this study, we intend to use diffuse optical Tomography (DOT) as a noninvasive, safe and low cost technique that can be considered as a functional imaging method and mention the importance of image reconstruction in accuracy and procession of image. One of the most important and fastest methods in image reconstruction is the boundary element method (BEM). This method is introduc...