In this paper, we propose a method for semi-supervised image segmentation based on geometric active contours. The main novelty of the proposed method is the initialization of the segmentation process, which is performed with a polynomial approximation of a user defined initialization (for instance, a set of points or a curve to be interpolated). This work is related to many potential applications: the geometric conditions can be useful to improve the quality the segmentation process in medicine and geophysics when it is required (weak contrast of the image, missing parts in the image, non-continuous contour…). We compare our method to other segmentation algorithms, and we give experimental results related to several medical and geophysical applications.
In this paper, the relevance of the use of mathematical modeling with the electromagnetic compatibility requirements in solving problems of space engineering is shown. Approbation of the software prototype developed in TUSUR is performed by designing the power supply network elements of a spacecraft. The mathematical and software features of the prototype are described.
The paper gives arguments for the topicality of electromagnetic compatibility modeling. Trends of electromagnetic simulation software development are stated. General simulation process based on method of moments is described. On examples of interconnects the improvement of simulation is shown, obtained by means of decrease of computational costs on segmentation and solution of linear algebraic systems. Time response calculation is described and results of waveform animation are presented. Recently designed testing tools are briefly described.
Keywords-electromagnetic compatibility; interconnects; method of moments; adaptive iterative choice of the optimal segmentation; linear systems; softwareI.
An iterative algorithm for solving a series of linear algebraic systems with partially varying coefficient matrix is suggested. Simple formulas for evaluating the speed up obtained are derived and used in choosing the related parameters. As examples, the choice of the drop tolerance and initial guesses are considered. Multiple solutions of linear systems of orders 708, 1416, 3540, 4425 arising in computing (by the method of moments) the electric capacity of two strips on a dielectric layer above a perfect conductive plane in the range of dielectric permeability is analyzed. As compared with Gaussian elimination, a 49 times speed up in solving 1000 linear systems of order 4425 is achieved. Bibliography 8 titles.
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