Fractals, Random Shapes and Point Fields

An exposition of fractals, shape and form, and point processes, which analyzes the current theoretical information. The organization of the text is such that each part can be read independently. Many case studies and true examples are used to illustrate the text.

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In Part I the reader is introduced to the methods of measuring the fractal dimension of irregular geometric structures. Part II demonstrates important modern methods for the statistical analysis of random shapes. The statistical theory of point fields, with and without marks, is introduced in Part III. Each of the three sections concentrates on the mathematical ideas, rather than detailed proofs, and can be read independently.