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Title: Morphology-based multifractal estimation for texture segmentation
Authors: Xia, Y
Feng, DD
Zhao, R
Keywords: Fractal dimension
Image segmentation
Mathematical morphology
Multifractal estimation
Issue Date: Mar-2006
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on image processing, Mar. 2006, v. 15, no. 3, p. 614-623 How to cite?
Journal: IEEE transactions on image processing 
Abstract: Multifractal analysis is becoming more and more popular in image segmentation community, in which the box-counting based multifractal dimension estimations are most commonly used. However, in spite of its computational efficiency, the regular partition scheme used by various box-counting methods intrinsically produces less accurate results. In this paper, a novel multifractal estimation algorithm based on mathematical morphology is proposed and a set of new multifractal descriptors, namely the local morphological multifractal exponents is defined to characterize the local scaling properties of textures. A series of cubic structure elements and an iterative dilation scheme are utilized so that the computational complexity of the morphological operations can be tremendously reduced. Both the proposed algorithm and the box-counting based methods have been applied to the segmentation of texture mosaics and real images. The comparison results demonstrate that the morphological multifractal estimation can differentiate texture images more effectively and provide more robust segmentations.
ISSN: 1057-7149
EISSN: 1941-0042
DOI: 10.1109/TIP.2005.863029
Rights: © 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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