Fractal Based Algorithms For Texture Analysis

Uwe Mussigmann; Manfred Rueff; Manfred Schmutz

doi:10.1117/12.942831

22 March 1988 Fractal Based Algorithms For Texture Analysis

Uwe Mussigmann, Manfred Rueff, Manfred Schmutz

Proceedings Volume 0849, Automated Inspection and High-Speed Vision Architectures; (1988) https://doi.org/10.1117/12.942831
Event: Advances in Intelligent Robotics Systems, 1987, Cambridge, CA, United States

Abstract

In this contribution there are discussed various aspects of a promising new approach to the problem of texture analysis which is based on the concept of fractal geometry. The starting point of these considerations is the close resemblance of certain irregular fractal sets with textures for which the degree of roughness is characteristic. This observation forms the basis for the application of the concept of fractal dimensions as a measure for the roughness of textures. The various definitions of fractal dimensions are more or less variations of the concept of the Hausdorff dimension as it is used in the mathematical theory which in practi-ce, however, can be determined only with difficulties. There are presented various definitions of fractal dimensions and procedures for their numerical calculation. A further application of fractal geometry results from the simulation of growth processes like e.g. crack propagation by means of the model of diffusion limited aggregation.

Citation Download Citation

Uwe Mussigmann, Manfred Rueff, and Manfred Schmutz "Fractal Based Algorithms For Texture Analysis", Proc. SPIE 0849, Automated Inspection and High-Speed Vision Architectures, (22 March 1988); https://doi.org/10.1117/12.942831

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