PMID: 16519348Mar 8, 2006Paper

Morphology-based multifractal estimation for texture segmentation

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Yong XiaRongchun Zhao

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.

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Feb 5, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Mohsen GhazelEdward R Vrscay
Feb 13, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·B Wohlberg, G de Jager
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Citations

Mar 1, 2014·TheScientificWorldJournal·Milorad P PaskašBranimir D Reljin
Jul 1, 2011·Journal of Medical Ultrasonics·Cristian VicasSergiu Nedevschi
Nov 13, 2012·Computerized Medical Imaging and Graphics : the Official Journal of the Computerized Medical Imaging Society·Chamidu AtupelageMichiie Sakamoto
Sep 20, 2015·Medical Image Analysis·Michael HäfnerShigeto Yoshida
Mar 29, 2008·IEEE Transactions on Pattern Analysis and Machine Intelligence·Nidhal BouaynayaDan Schonfeld
Nov 2, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Yong XiaRongchun Zhao
May 19, 2009·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Giuseppe ScarpaJosiane Zerubia
Jan 24, 2009·IEEE Transactions on Medical Imaging·Po-Whei Huang, Cheng-Hsiung Lee
Aug 5, 2017·Biomedical Microdevices·Nikola ReljinSrdjan Stankovic
May 14, 2016·Physical Review. E·Fang WangH Eugene Stanley

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