Geoscience Reference
In-Depth Information
Fig. 10.7 Relationships between perimeters and anomalous areas using contours with different
values greater than thresholds for (a) Au, (c) Cu and (e) As. Log-log plots on right side show
relationships between estimated lengths of the perimeters of the anomalous areas for (b) Au,
(d) Cu and (f) As with variable yardstick.
D
1 and
D
2 are for textural and structural fractal
dimensions, respectively. All solid lines were obtained by least squares (Source: Cheng
et al.
1994
, Fig. 8)
From any two of the three fractal dimensions (
D
L
for perimeter;
D
AL
for
perimeter-area relation; and
D
A
for area), the third one can be obtained by means
of the relation
D
A
¼
2D
L
/
D
AL
. Theoretically,
D
A
cannot be greater than 2. In most
applications of the perimeter-area method, it is set equal to 2 so that
D
L
¼
D
AL
. The
latter relation holds approximately true for Cu and As (
D
AL
¼
1.16 and
D
A
¼
1.96
Search WWH ::
Custom Search