Multifractal Modeling and Lacunarity Analysis Export

@article{citeulike:2315576, abstract = {Abstract\ \  The so-called gliding box method of lacunarity analysis has been investigated for implementing multifractal modeling in comparison with the ordinary box-counting method. Newly derived results show that the lacunarity index is associated with the dimension (codimension) of fractal, multifractal and some types of nonfractals in power-law relations involving box size; the exponent of the lacunarity function corresponds to the fractal codimension (E – D) for fractals and nonfractals, and to the correlation codimension (E – lpar;2)) for multifractals. These results are illustrated with two case studies: De Wijs's zinc concentration values from the Pulacayo sphalerite-quartz vein in Bolivia and Cochran's tree seedlings example. Both yield low lacunarities and slightly depart from translational invariance.}, author = {Cheng, Qiuming}, citeulike-article-id = {2315576}, citeulike-linkout-0 = {http://dx.doi.org/10.1023/A:1022355723781}, citeulike-linkout-1 = {http://www.springerlink.com/content/x3n4821821lt583q}, day = {1}, doi = {10.1023/A:1022355723781}, journal = {Mathematical Geology}, keywords = {box-counting, fractal, lacunarity, multifractals}, month = {October}, number = {7}, pages = {919--932}, posted-at = {2008-01-31 17:15:15}, priority = {5}, title = {Multifractal Modeling and Lacunarity Analysis}, url = {http://dx.doi.org/10.1023/A:1022355723781}, volume = {29}, year = {1997} }

TY - JOUR ID - citeulike:2315576 L3 - citeulike-article-id:2315576 N2 - Abstract   The so-called gliding box method of lacunarity analysis has been investigated for implementing multifractal modeling in comparison with the ordinary box-counting method. Newly derived results show that the lacunarity index is associated with the dimension (codimension) of fractal, multifractal and some types of nonfractals in power-law relations involving box size; the exponent of the lacunarity function corresponds to the fractal codimension (E – D) for fractals and nonfractals, and to the correlation codimension (E – lpar;2)) for multifractals. These results are illustrated with two case studies: De Wijs's zinc concentration values from the Pulacayo sphalerite-quartz vein in Bolivia and Cochran's tree seedlings example. Both yield low lacunarities and slightly depart from translational invariance. IS - 7 JF - Mathematical Geology EP - 932 TI - Multifractal Modeling and Lacunarity Analysis VL - 29 SP - 919 KW - box-counting KW - fractal KW - lacunarity KW - multifractals AU - Cheng, Qiuming PY - 1997/10/01/ UR - http://dx.doi.org/10.1023/A:1022355723781 ER -