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Yayın Decomposition of the nodal conductance matrix of a planar resistive grid and derivation of its eigenvalues and eigenvectors using the kronecker product and sum with application to cnn image filters(IEEE, 2016-12) Tavşanoğlu, Ahmet VedatIt is shown that an (M× N)-node planar resistive grid can be decomposed into two sub-grids; one made up of M N-node horizontal and the other of N M-node vertical linear resistive grids which corresponds to decomposing its nodal conductance matrix (NCM) into the Kronecker sum of the NCMs of horizontal and vertical linear grids. This enables the analytical expressions of the eigenvalues and eigenvectors of the NCMs of the sub-grids as well as those of the planar resistive grid to be expressed in terms of those of the two linear grids, whose analytical expressions are well known. For a Cellular Neural Network (CNN) Gabor-type filter (GTF) we define generalized nodal conductance matrices (GNCMs) that correspond to the NCMs of the resistive sub-grids, show that each Kronecker decomposition has a counterpart in CNN GTF and prove that each GNCM, its counterpart NCM and the corresponding temporal state matrices are related through unitary diagonal similarity transformations. Consequently, we prove that the eigenvalues of the temporal state matrix of a spatial band-pass CNN GTF are the same as those of its counterpart spatial low-pass CNN image filter, hence their temporal transient behaviors are similar in settling to a forced response.Yayın Architecture of a fully pipelined real-time cellular neural network emulatort(IEEE-INST Electrical Electronics Engineers Inc, 2015-01) Yıldız, Nerhun; Cesur, Evren; Kayaer, Kamer; Tavşanoğlu, Ahmet Vedat; Alpay, MurathanIn this paper, architecture of a Real-Time Cellular Neural Network (CNN) Processor (RTCNNP-v2) is given and the implementation results are discussed. The proposed architecture has a fully pipelined structure, capable of processing full-HD 1080p@60 (1920 1080 resolution at 60 Hz frame rate, 124.4 MHz visible pixel rate) video streams, which is implemented on both high-end and low-cost FPGA devices, Altera Stratix IV GX 230, and Cyclone III C 25, respectively. Many features of the architecture are designed to be either pre-synthesis configurable or runtime programmable, which makes the processor extremely flexible, reusable, scalable, and practical.Yayın Sperm motility analysis system implemented on a hybrid architecture to produce an intelligent analyzer(Elsevier Ltd, 2020) Şavkay, Osman Levent; Yalçın, Müştak Erhan; Tavşanoğlu, Ahmet VedatMuch research and analysis in biomedicine involve image and video inspection using microscopes. Presently, scientists are dissatisfied with manual observations and assessments, when objective and enhanced data can be obtained by applying new technologies (such as image and video inspection) to biomedical fields, such as sperm analysis. Computer Assisted Sperm Analysis (CASA) systems, developed in the late 1980s, constitute third-generation methods of sperm analysis. This study aimed to develop a standalone medical image and video analysis system that is reconfigurable, flexible, reliable, deterministic, and robust. It proposed a new sperm motility analysis system running on a dual core Central Processing Unit (CPU) + field programmable gate arrays (FPGA) platform, under a real-time operating system (RTOS), which is a step ahead of the third-generation CASA systems. The system hardware and related sperm detection and tracking algorithms were the novelty of this work. The image processing functions mainly run on FPGA, image acquisition, and calculations run on CPU, parallel with FPGA. The result is a much faster, reliable, reconfigurable, and compact intelligent analyzer system. Our prototype system was applied to sperm motility analysis; however, other image processing systems can be applied to this architecture. Additionally, the proposed tracking method for sperm track determination is simple, effective, and does not exert a load on the system.
