【摘要】 首先总结并论证了描述城市土地利用形态及其空间结构特征的两种分维:边界维数和半径维数.前者可用面积-周长关系和周长-尺度关系定义,测算方法有结构步长法等;后者则用面积-半径关系定义,借助数目-尺度关系进行测算.其次简述了两种分维的地理几何意义,并以实例说明其应用方法.最后建议采用网格维数包括信息维数对城市土地利用的空间形态做进一步的定量描述.更多还原

【Abstract】 So far, there have been two kind of fractal dimensions by means of which urban land-use patterns can be described and characterized. One is `boundary demension’, which was recommended by M. Batty and P.A. Longley in 1980s; the other is ’radial dimension’, which was presented by P. Frankhouser and suggested by R.White and G.Engelen in 1990s. After discussing the two dimensions mentioned above, advance another dimension-grid dimension as a complement. A typical grid dimension is information dimension, the related probability measurement can be determined by counting the number of pixels of some type of land use in a given digitalized map.更多还原