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The Voronoi Model and Fractals
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The Voronoi Model and Fractals

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商品簡介

The limitations of Voronoi model based on Euclidean geometry in designing and micro structure analysis are over bridged by fractal nature approach. This model fractalization is quite original. New frontiers in more precise material sciences structure morphology reconstruction and designing are established. This integrated Voronoi-fractal model in sub micro-structure analysis, multi-functional integrations especially within fractal micro-electronics enlights the new perspectives.

作者簡介

Prof. Dr. Vojislav V. Mitic

Department of Microelectronics, Faculty of Electronic Engineering,
University of Nis, Serbia;
University of Belgrade, Serbia;
Scientific Adviser in Institute of Technical Sciences of Serbian Academy
of Sciences, Belgrade, Serbia.

目次

Acknowledgements ............................................................................. i
Content ................................................................................................ iii
Preface ................................................................................................ v
Abstract ............................................................................................... ix
1. Introduction ..................................................................................... 1
2. Voronoi Model ................................................................................ 5
2.1 Animating and Voronoi Diagram .............................................. 6
2.1.1 Voronoi Tessellations ......................................................... 11
2.2 Fractals ...................................................................................... 16
2.2.1 Grains as Fractals .............................................................. 29
2.2.2 Intergranular Connections ................................................. 32
2.2.3 Experimental ..................................................................... 42
2.2.4 Results and Discussion ...................................................... 48
2.2.5 Fractals and a Fractal Dimension ...................................... 54
2.2.6 Microstructure and Fractal Analysis .................................. 59
2.3 Voronoi Model, Simulations, and Animations .......................... 59
2.4 Some Experimental Results in the Area of Alloys and
Bioceramics to Which It Is Possible to Apply Fractal Analysis ... 63
3. Outlook ............................................................................................ 7 3
4. Conclusion ...................................................................................... 75
Literature ............................................................................................. 81

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