Extended Fractal Analysis Method and Its Application for Linear Rivers
Extended fractal analysis method can analyze the fractal character (i.e.self-similarity) objectively,especially the difference and change of the shape and the structure in different observation scale intervals.As one of the common fractal objects,river on the map can be surveyed its length and quantified the complexity of its shape and structure as well as its partial details with Extended Fractal Dimension Analysis method (abbreviated as EFDA).Compared to the traditional method,EFDA has unparalleled advantages.Considering the extended fractal character with scaling variance,and based on its simulating function adopting the Inverse Logistic Model,the paper gained the extended fractal function for quantifying the length of the river depending on the different observing scales.Furthermore,based on the mathematical derivation of its simulating function and fractal analysis,the paper obtained the relevant parameter for establishing Meta Fractal Dimension (abbreviated as MFD) Model to quantify the local complexity of the river on the map.Several experiments based on the Chinas seven major rivers done indicate that this method is easy to operate and has a relatively high calculation precision and a logical result of spatial analysis.
extended fractal dimension fractal measurement for length partial shape Meta fractal dimension curve
Wang Liqin Long Yi CUI Shilin
School of Geographic Science,Nanjing Normal University,210046;Key Lab.of Geographic Information Science of Jiangsu Province,Nanjing Normal University,210046
国际会议
第16届国际地理信息科学与技术大会(16th International Conference on GeoInformatics and the Joint Conference)
广州
英文
2008-06-28（万方平台首次上网日期，不代表论文的发表时间）