<title>Dimension and lacunarity measurement of IR images using Hilbert scanning</title>

Abstract

This paper illustrates the use of fractal geometry and fractal metrics for analysis and characterization of natural textures and clutter in IR images in the wavelength band of 2-5 micrometers . In addition to the local fractal dimension, the lacunarity of textures is also briefly investigated. The addition of lacunarity significantly improves the pattern classification performance and is an important part of a complete fractal description of natural textures. A new measurement technique, based on the statistics of a space-filling curve, is presented. Specifically, a space-filling scan of an image texture is used to estimate the fractal dimension of the corresponding intensity surface. This unique one-dimensional representation is also used for measuring local texture features such as granularity and lacunarity.