FRACTAL ANALYSIS AND AESTHETIC EVALUATION OF GEOMETRICALLY OVERLAPPING PATTERNS

An extended fractal dimension is introduced and applied to several fig ures whose fractal images are similar in a statistical sense. The box- counting method by computer-aided image analysis is adapted to measure the extended fractal dimension of patterns. When applied to an ideal fractal figure, the value measured with this method closely agrees wit h the theoretical value. Image information such as the number of voids and void sizes in twenty-nine different kinds of patterns is obtained by image processing. All these patterns are used as sample patterns f or sensory evaluation and fractal analysis. A good correlation exists between the fractal dimension and the sensory evaluation value for bea uty and complexity of patterns.