We present an SOR-type algorithm and a Jacobi-type algorithm that can effectively be applied to the `1-`2 problem by exploiting its special structure. The algorithms are globally convergent and can be implemented in a particularly simple manner. Relations with coordinate minimization methods are discussed.

In this paper, we present an FBP algorithm suitable for image reconstruction from exponential X-ray projections sampled on any subset of the sphere that includes great circles. This algorithm is similar to the TTR-algorithm of Ra et al. (1982) for non-attenuated projections. It is derived by combining all reconstructions that can be obtained from the subsets of measurements corresponding to a g...

2D projections of the real 3D space are the only available information in the imaging technics like in XRay and MRI. In this paper we study projections of images as generated by Radon transformation. We implemented an image reconstruction algorithm which receives different projections of the original image as input. We performed this experiment using artificially created image in order to test ...

Extracting and tracking active objects are two major issues in surveillance and monitoring applications such as nuclear reactors, mine security, and traffic controllers. In this paper, a block-based similarity algorithm is proposed in order to detect and track objects in the successive frames. We define similarity and cost functions based on the features of the blocks, leading to less computati...

Pine wilt disease (PWD) is a very destructive forest that causes the mortality of pine. The infected trees usually die within three months, and spreads fast with long-horned beetle as medium if are not removed from in time. Therefore, detecting at different infection stage, especially early infection, crucial for preventing PWD spread. This study aims to exhibit spectral differences pine needle...

Non-negative matrix factorization (NMF) has become a widely used tool for additive parts-based analysis in a wide range of applications. As NMF is a non-convex problem, the quality of the solution will depend on the initialization of the factor matrices. In this study, the successive projection algorithm (SPA) is proposed as an initialization method for NMF. SPA builds on convex geometry and al...