A hybrid of tropical-singular value decomposition method for salt and peppernoise removal

Abstract

The unknown information contained in an image that causes the change of information in the image is called noise. In this paper, we propose a new method for removing salt and pepper noise by using singular value decomposition and the concept of tropical algebra operations. To determine the performance of the proposed method, 20 test images are used as samples. Then three different image quality assessments are used: peak signal-to-noise ratio (PSNR), structural similarity (SSIM), and image enhancement factor (IEF). In addition, six different filtering methods, i.e. MF, DWMF, PSMF, MDBUTM, NAFSM, and BPDF, are used to compare the performance of the proposed method. The experimental results show that the proposed method yields better results than the existing methods, in particular the BPDF filtering method.

Analysis of condition number and position estimation error for multiangulation position estimation system

“…The SVD, among other advantages, enables the solution to be found for nonsymmetrical matrix systems. It also provides the eigenvalues and eigenvectors and, as well, allows dimensionality reduction, which has the benefit of reducing storage space, speeding computation, and eliminating redundant elements [31,32]. Referring to (10), the SVD can be obtained for the LHS of the equation by:…”