Multifractals and Local Singularity Analysis - Geomathematics: Theoretical Foundations, Applications and Future Developments - page 456

140

120

100

80

60

40

20

0

1000 1200 1400 1600 1800 2000 2200 2400 2600 2800

Sample #

Fig. 11.35 Successive patterns of c k obtained after 1 ( most scatter ), 5, 100 ( solid line ) and 1,000
( smoothest curve ) iterations (Source: Agterberg 2012b , Fig. 12)

3

2.5

2

y = -1.027x + 2.5687

1.5

1

0.5

0

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8

Local Singularity

Fig. 11.36 Logarithmically (base 10) transformed KTB copper concentration versus local simi-
larity after single iteration ( k ¼1) with regression line (singularity assumed to be error-free).
Variance of logarithmically transformed copper concentration value is 0.01636 (Source:
Agterberg 2012b , Fig. 13)