Estimation of number-area-frequency dimensions of surface water bodies

Citation
Bsd. Sagar et D. Srinivas, Estimation of number-area-frequency dimensions of surface water bodies, INT J REMOT, 20(13), 1999, pp. 2491-2496
Citations number
14
Categorie Soggetti
Earth Sciences
Journal title
INTERNATIONAL JOURNAL OF REMOTE SENSING
ISSN journal
01431161 → ACNP
Volume
20
Issue
13
Year of publication
1999
Pages
2491 - 2496
Database
ISI
SICI code
0143-1161(19990910)20:13<2491:EONDOS>2.0.ZU;2-T
Abstract
This paper proposes a technique that includes a set of mathematical morphol ogical transformations to estimate the frequency dimension. The dimension c omputed through a power law relationship is tallied with the dimension comp uted through a correlational plot. This technique is demonstrated on a two- dimensional section embodying a large number of surface water bodies, extra cted from remotely sensed data, situated randomly, and the frequency dimens ion (D) for surface water bodies yields straight-line dependence of lnC(r) (correlational integral) on In(r) (radius of structuring template). The cor relational integral is computed for two aspects by considering the number o f water bodies and their corresponding occupied areas. The number-frequency dimension and the area-frequency dimension computed through correlational plots yield straight-line dependencies with slopes that are greater than un ity but less than 2.0 (1.3 and 1.7, respectively).