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Precursors Revealed by the Multifractal Dimension Around Ordos Block,North China
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作者 QinChangyuan YinJingyuan 《Earthquake Research in China》 2002年第2期167-177,共11页
Seismicity around the Ordos Block in the northern part of China has been studied by the multifractal dimensions with the help of complete data set of earthquakes with M≥2.5 since 1977. Seven regions around this block... Seismicity around the Ordos Block in the northern part of China has been studied by the multifractal dimensions with the help of complete data set of earthquakes with M≥2.5 since 1977. Seven regions around this block have been examined where the eight large earthquakes with M≥6.0 for the complete data occurred. In order to display the temporal distribution of the correlation dimension D 2, a moving window of fixed number of events is used in every of the seven regions. Except for two regions with less seismic activity, all other five regions have obviously been found to display sudden changes of the correlation dimension for the events with M≥4.5. 展开更多
关键词 SEISMICITY multifractal dimension Ordos Block North China
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A NOTE ON MULTIFRACTAL PACKING DIMENSION OF MEASURES
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作者 Jinjun Li 《Analysis in Theory and Applications》 2009年第2期147-153,共7页
The relations between the multifractal packing dimension of Borel probability measures and the asymptotic behavior of the function Ф*(x)=limsup logv(B(x,r))-qlogu(B(x,r))/logr are discussed and some appli... The relations between the multifractal packing dimension of Borel probability measures and the asymptotic behavior of the function Ф*(x)=limsup logv(B(x,r))-qlogu(B(x,r))/logr are discussed and some applications are given. 展开更多
关键词 multifractal packing dimension of measures essential bound
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Analysis of normal human retinal vascular network architecture using multifractal geometry 被引量:1
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作者 Stefan Talu Sebastian Stach +2 位作者 Dan Mihai Calugaru Carmen Alina Lupascu Simona Delia Nicoara 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2017年第3期434-438,共5页
AIM:To apply the multifractal analysis method as a quantitative approach to a comprehensive description of the microvascular network architecture of the normal human retina.METHODS:Fifty volunteers were enrolled in ... AIM:To apply the multifractal analysis method as a quantitative approach to a comprehensive description of the microvascular network architecture of the normal human retina.METHODS:Fifty volunteers were enrolled in this study in the Ophthalmological Clinic of Cluj-Napoca,Romania,between January 2012 and January 2014. A set of 100 segmented and skeletonised human retinal images,corresponding to normal states of the retina were studied. An automatic unsupervised method for retinal vessel segmentation was applied before multifractal analysis. The multifractal analysis of digital retinal images was made with computer algorithms,applying the standard boxcounting method. Statistical analyses were performed using the Graph Pad In Stat software.RESULTS:The architecture of normal human retinal microvascular network was able to be described using the multifractal geometry. The average of generalized dimensions(D_q)for q=0,1,2,the width of the multifractal spectrum(Δα=α_(max)-α_(min))and the spectrum arms' heights difference(│Δf│)of the normal images were expressed as mean±standard deviation(SD):for segmented versions,D_0=1.7014±0.0057; D_1=1.6507±0.0058; D_2=1.5772±0.0059; Δα=0.92441±0.0085; │Δf│= 0.1453±0.0051; for skeletonised versions,D_0=1.6303±0.0051; D_1=1.6012±0.0059; D_2=1.5531± 0.0058; Δα=0.65032±0.0162; │Δf│= 0.0238±0.0161. The average of generalized dimensions(D_q)for q=0,1,2,the width of the multifractal spectrum(Δα)and the spectrum arms' heights difference(│Δf│)of the segmented versions was slightly greater than the skeletonised versions.CONCLUSION:The multifractal analysis of fundus photographs may be used as a quantitative parameter for the evaluation of the complex three-dimensional structure of the retinal microvasculature as a potential marker for early detection of topological changes associated with retinal diseases. 展开更多
关键词 generalized dimensions multifractal retinal vessel segmentation retinal image analysis retinal microvasculature standard box-counting method
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