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    Book

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    Chapter

    Digital Images of Microstructures

    There are many types of LOM including those using reflected light and those employing transmitted light. In this book, only the metallurgical microscope based on the principle of reflected light will be addres...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Chapter

    Fundamental Statistics

    According to the value of fractal dimension, the basic elements of material microstructures can be divided into two classes: regular objects (whose fractal dimensions are integer) and irregular objects (whose ...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Chapter

    Fractal Measurements of Projection Microstructures

    The main task of the fractal measurements is to determine the fractal dimension. Usually, a physical object is fractal only within a limited range of scales. The scaling range, often characterized by a length,...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Chapter

    Irregularity of Graphite Nodules

    The first seven chapters of this monograph “set the scene” for the applications of fractal analysis in the quantification of the microstructures from materials. The remaining chapters (8 to 11) are written in ...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Chapter

    Introduction

    Microstructures of materials refer to a set of basic elements such as the arrangement of atoms or molecules, dislocations, grains, particles, surfaces, boundaries, etc. These basic elements may be made to appe...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Chapter

    Fractal Growth of Graphite Nodules

    Researches on the growth of graphite nodules in malleable iron have currently been based on the assumption that graphite nodules are spherical et al. 1954; Owen et al., 1956; Birchenall et al., 1956; Burke, 1959 ...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Chapter

    Fractal-based Study of Magnetic Thin Films

    AFM and MFM (Mamin et al., 1989) have been extensively used for both qualitative and quantitative analysis of surface morphologies and magnetic microstructures of magnetic media. Quantitative analysis provides im...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Chapter

    Fractal-based Study of Fracture Surfaces

    Fracture is one of the most intriguing processes in material science and engineering as it is associated with the life and safety of engineering components. The mechanisms leading to fracture are very complex ...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Chapter

    Image Processing

    Image processing involves operations in the collection of information from signal processing of the 2D projections of a 3D scene. The image operations are defined as necessary changes of images so that quantit...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Chapter

    Fractal Fundamentals

    “How long is the coast of Britain?” Mandelbrot (1982), establishing the great work of THE FRACTAL GEOMETRY OF NATURE, asked this interesting question. His answer was that its length is uncertain but depends on...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Chapter

    Fractal Measurements of Topographical Images from 3D Surfaces

    Surfaces play an important role in many physical processes of materials. 3D information is related to the surfaces involved in scientific and engineering problems such as the growth front of thin films, interf...

    J. M. Li, Li Lü, M. O. Lai, B. Ralph in Image-Based Fractal Description of Microstructures (2003)

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    Article

    The mechanical alloying of titanium aluminides

    This article reviews the mechanical alloying of titanium aluminides carried out in the past decades. Research has proven that mechanical alloying is an efficient means to synthesize nano-structured and non-equ...

    L. Lu, M. O. Lai, F. H. Froes in JOM (2002)