Discrete Tomography(DT)is a technology that uses image projection to reconstruct *** reconstruction problem,especially the binary image(0–1matrix)has attracted strong *** this study,a fixedpointiterative method of ...
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Discrete Tomography(DT)is a technology that uses image projection to reconstruct *** reconstruction problem,especially the binary image(0–1matrix)has attracted strong *** this study,a fixedpointiterative method of integer programming based on intelligent optimization is proposed to optimize the *** solution process can be divided into two ***,the DT problem is reformulated into a polyhedron judgment problembased on lattice basis ***,the fixed-pointiterativemethod of Dang and Ye is used to judge whether an integer point exists in the polyhedron of the previous *** the programs involved in this study are written in *** final experimental data show that this method is obviously better than the branch and bound method in terms of computational efficiency,especially in the case of high *** branch and bound method requires more branch operations and takes a long *** also needs to store a large number of leaf node boundaries and the corresponding consumptionmatrix,which occupies a largememory space.
Edge detection plays an important role in the field of image processing. In this paper, we propose a novel variational model to automatically and adaptively detect one or more prior shapes from the given dictionary to...
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Edge detection plays an important role in the field of image processing. In this paper, we propose a novel variational model to automatically and adaptively detect one or more prior shapes from the given dictionary to guide the edge detection process. In that way, we can effectively detect the shapes of interest from the test image. Moreover, an efficient algorithm based on the Alternating Direction Method of Multipliers (ADMM) is proposed to solve this model with guaranteed convergence. A variety of numerical experiments show that the proposed method has achieved ideal performance for edge detection in images with missing information, various types of noise and complicated background, and even multiple objects. (C) 2019 Elsevier Ltd. All rights reserved.
To improve the quality of the reconstruction image for discontinuous media distribution areas, a total variation(TV) regularization based on bounded variation function was employed to solve the ill-posed problem of el...
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To improve the quality of the reconstruction image for discontinuous media distribution areas, a total variation(TV) regularization based on bounded variation function was employed to solve the ill-posed problem of electrical capacitance tomography(ECT). By using TV regularization, an Euler equation, a non-linear partial differential equation, is derived to describe the ECT problem. However, it is very time consuming, if possible, for traditional methods to solve this Euler equation. This paper presents a new fixed-point iterative algorithm which can get the solution stably and rapidly. Numerical results show that the presented method improves the quality of the reconstruction image for discontinuous media distribution areas in ECT image reconstruction, and leads to the common boundary between different media clearer.
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