Influences of different surveying and mapping methods on fractal characteristics of gully-head shoulder lines
| Autor: | Hui Liu, Qingchun Deng, Fachao Qin, Lei Wang, Bin Zhang, Xiang Li, Luo Mingliang |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Atmospheric Science
010504 meteorology & atmospheric sciences Total station Geometry 010502 geochemistry & geophysics 01 natural sciences Fractal dimension Fractal Quadratic equation Line (geometry) Earth and Planetary Sciences (miscellaneous) Curve fitting General Earth and Planetary Sciences Head (vessel) Cartography Polygonal line 0105 earth and related environmental sciences General Environmental Science Mathematics |
| Zdroj: | Physical Geography. 37:387-408 |
| ISSN: | 1930-0557 0272-3646 |
| DOI: | 10.1080/02723646.2016.1228131 |
| Popis: | Accurate quantification of gully shoulder lines (gully borderlines) will help better understand gully formation and evolution. Surveying and mapping are the most important ways to obtain precise morphology. To evaluate the influences of different steps of surveying and of curve-fitting methods of mapping on the morphology of the shoulder line characterized by fractal dimensions, 13 shoulder lines at gully heads were surveyed using a total station and then mapped with different methods of curve fitting, with the fractal dimensions calculated by maps compared with those measured in the field. Fractal dimensions by field measurement ranged from 1.185 to 1.456. Compared with field measurements, the average absolute errors of polygonal line, quadratic B-spline, and arc-fitting methods are 0.045, 0.040, and 0.046, respectively; the average relative errors are 3.48, 3.13, and 3.59%. Therefore, the quadratic B-spline method has a higher accuracy. The standard error of the fractal dimension tends to be lar... |
| Databáze: | OpenAIRE |
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