Multifractal modeling and spatial point processes |
| |
Authors: | Quiming Cheng and Frederik P. Agterberg |
| |
Affiliation: | (1) Ottawa-Carleton Geoscience Centre, University of Ottawa, K1N 6N5 Ottawa, Canada;(2) Geological Survey of Canada, 601 Booth Street, K1A 0E8 Ottawa, Canada |
| |
Abstract: | The multifractal model can be applied to spatial point processes. It provides new, approximately power-law type, expressions for their second-order intensity and K (r) functions. The box-counting and cluster dimensions are different but mutually interrelated according to multifractal theory. This approach is used to describe the underlying spatial structure of gold mineral occurrences in the Iskut River area, northwestern British Columbia. The box-counting and cluster dimensions for the example are estimated to be 1.335±0.077 and 1.219±0.037, respectively. The relatively strong clustering of the gold deposits is reflected by the fact that both values are considerably less than the corresponding Euclidean dimension (=2). |
| |
Keywords: | fractals multifractal spectrum point patterns second-order intensity box-counting clustering |
本文献已被 SpringerLink 等数据库收录! |
|