It can be argued that the cut from the northwestern end can be utilized for the fill in the southeast end of the road. EF route needs more fill than AB route.ĬD-The CD route has plenty of cut (the northwestern end) while the southeast requires fill. The proposed route requires a large amount of fill that needs to be brought in from outside.ĮF-Proposed road EF goes mostly through 60 and 70. When the proposed road passes through 80 and 70 contours, fill is needed to bring it to 90 ft.
Perimeter-Area RelationshipĪB-The proposed road elevation is at 90 ft, AB passes mostly through contours 80 and 70. The average value of the map is then taken to be the fractal dimension of the surface.
Contour lines plus#
This method improves the accuracy of computing the fractal dimension of a surface by computing the fractal dimension of the vertical slices in the x- and y-directions plus 1, and generating a new map of the fractal dimensions created where each point is defined by the average fractal dimensions of the two profiles intersecting at that position. Another choice can be made with regard to the 1D algorithm used to compute the fractal dimensions. To add flexibility, this technique can be implemented with the possibility of computing either or both directions (rows and/or columns) and to consider only a limited number of slices.
This approach considers the fractal dimension of the surface to be the normal average of all the vertical slices in the x- and y-directions plus 1. The results are generally close to those computed using the box counting method for fractal dimensions between 2.1 and 2.4.
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