Fractal and multifractal analysis: a review
- PMID: 19535282
- DOI: 10.1016/j.media.2009.05.003
Fractal and multifractal analysis: a review
Abstract
Over the last years, fractal and multifractal geometries were applied extensively in many medical signal (1D, 2D or 3D) analysis applications like pattern recognition, texture analysis and segmentation. Application of this geometry relies heavily on the estimation of the fractal features. Various methods were proposed to estimate the fractal dimension or multifractal spectral of a signal. This article presents an overview of these algorithms, the way they work, their benefits and their limits. The aim of this review is to explain and to categorize the various algorithms into groups and their application in the field of medical signal analysis.
Similar articles
-
Statistical shape models for 3D medical image segmentation: a review.Med Image Anal. 2009 Aug;13(4):543-63. doi: 10.1016/j.media.2009.05.004. Epub 2009 May 27. Med Image Anal. 2009. PMID: 19525140 Review.
-
Minimum reliable scale selection in 3D.IEEE Trans Pattern Anal Mach Intell. 2006 Mar;28(3):481-7. doi: 10.1109/TPAMI.2006.58. IEEE Trans Pattern Anal Mach Intell. 2006. PMID: 16526434
-
Fractal dimension analysis of MR images reveals grey matter structure irregularities in schizophrenia.Comput Med Imaging Graph. 2008 Mar;32(2):150-8. doi: 10.1016/j.compmedimag.2007.10.005. Epub 2007 Dec 18. Comput Med Imaging Graph. 2008. PMID: 18068333
-
Spectral matting.IEEE Trans Pattern Anal Mach Intell. 2008 Oct;30(10):1699-712. doi: 10.1109/TPAMI.2008.168. IEEE Trans Pattern Anal Mach Intell. 2008. PMID: 18703825
-
Minimizing nonsubmodular functions with graph cuts - a review.IEEE Trans Pattern Anal Mach Intell. 2007 Jul;29(7):1274-9. doi: 10.1109/TPAMI.2007.1031. IEEE Trans Pattern Anal Mach Intell. 2007. PMID: 17496384 Review.
Cited by
-
Fractal Modelling of Heterogeneous Catalytic Materials and Processes.Materials (Basel). 2024 Nov 1;17(21):5363. doi: 10.3390/ma17215363. Materials (Basel). 2024. PMID: 39517637 Free PMC article. Review.
-
Investigation on the Nanopore Heterogeneity in Coals and its Influence on Methane Adsorption: A Multifractal Theory Study.ACS Omega. 2024 Apr 19;9(17):19504-19516. doi: 10.1021/acsomega.4c01040. eCollection 2024 Apr 30. ACS Omega. 2024. PMID: 38708286 Free PMC article.
-
Retina images classification based on 2D empirical mode decomposition and multifractal analysis.Heliyon. 2024 Mar 4;10(6):e27391. doi: 10.1016/j.heliyon.2024.e27391. eCollection 2024 Mar 30. Heliyon. 2024. PMID: 38509989 Free PMC article.
-
Analyzing Eye Paths Using Fractals.Adv Neurobiol. 2024;36:827-848. doi: 10.1007/978-3-031-47606-8_42. Adv Neurobiol. 2024. PMID: 38468066
-
Multifractal Analysis of Brain Tumor Interface in Glioblastoma.Adv Neurobiol. 2024;36:487-499. doi: 10.1007/978-3-031-47606-8_25. Adv Neurobiol. 2024. PMID: 38468049
Publication types
MeSH terms
LinkOut - more resources
Full Text Sources
Other Literature Sources