Granolds: a novel texture representation

摘要

In this paper we describe a new image texture representation. Using two different parameterised monotonic mappings this new technique transforms the input image into a function on two dimensions that may be regarded as a surface that we have named the “granold”. The nature of this surface is such that corners appear at positions where there are simultaneously large changes in the response of the monotonic mappings to the input image. The shape and position of these corners is then analysed to provide information about the texture of the input image. The use of grey level thresholds and morphological granulometries in the formation of the granold is presented. Then these mappings are generalised and a mathematical analysis of the new technique including constraints for the parameterised monotonic mappings is presented. A number of experiments are described that use grey-level thresholds and morphological granulometries to fundamentally test and demonstrate the new technique are presented. The results from these experiments are presented and discussed including a qualitative discussion of the behaviour of the new technique in response to changes in the input image. The conclusion is that the new technique performs in an expected, repeatable and predictable manner in accordance with its mathematical analysis.