Extreme modulus escaping time algorithm, decomposition algorithm and fisheye algorithm are analyzed in this thesis, and we construct a series of generalized Mandelbrot-Julia (M-J) sets using these three algorithms. By...
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Extreme modulus escaping time algorithm, decomposition algorithm and fisheye algorithm are analyzed in this thesis, and we construct a series of generalized Mandelbrot-Julia (M-J) sets using these three algorithms. By studying the structural character of generalized M-J sets, we find: (1) extreme modulus escaping time algorithm and decomposition algorithm are simple modi. cations of classic escaping time algorithm, they can both construct the structure of non-boundary areas of generalized M-J sets;(2) non-boundary areas of generalized M-J sets have fractal characters;(3) generalized M-J sets have symmetry, and the process of evolvement depends on range of phase angle;(4) we can observe not only the whole structure of generalized Mandelbrot sets but also the details of some parts by using fisheye algorithm.
The spatial distribution of power facilities is uneven,thereby making the topology of geographical wiring diagrams(GWDs)based on the actual coordinates unclear.A single-line diagram has the advantage of a clear topolo...
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The spatial distribution of power facilities is uneven,thereby making the topology of geographical wiring diagrams(GWDs)based on the actual coordinates unclear.A single-line diagram has the advantage of a clear topology but it lacks spatial locations.A GWD has the advantage of accurate spatial locations but it lacks a clear *** distribution networks for planning requires both *** proposed a new planning-oriented method for optimizing the visualization of distribution *** the global perspective,we proposed an improved force-directed(FD)algorithm by introducing a space restriction strategy and node–edge repulsion strategy to promote the expansion of the distance between distribution facilities within a limited *** then constructed the constrained Delaunay triangulation to identify the compact districts(CDs)and used a genetic algorithm to optimize the parameters for the improved FD algorithm.A novel visualization evaluation indicator was also proposed for quantitatively assessing the *** a local perspective,the fisheye algorithm was used to optimize the CDs to further improve the visualization of the distribution *** verified the proposed methods with real-world *** used limited spatial displacement in exchange for maximum topology clarity to balance the accurate spatial location and topology clarity.
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