Scale Optimization in Topographic and Hydrographic Feature Mapping Using Fractal Analysis
A new method for selecting optimal scales when mapping topographic or hydrographic features is introduced. The method employs rank-size partition of heavy-tailed distributions to detect nodes of rescaling invariance in the underlying hierarchy of the dataset. These nodes, known as head/tail breaks,...
| Үндсэн зохиолчид: | , |
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| Формат: | Өгүүллэг |
| Хэл сонгох: | English |
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MDPI AG
2020-10-01
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| Цуврал: | ISPRS International Journal of Geo-Information |
| Нөхцлүүд: | |
| Онлайн хандалт: | https://www.mdpi.com/2220-9964/9/11/631 |
| _version_ | 1827703521380663296 |
|---|---|
| author | Christos Karydas Bin Jiang |
| author_facet | Christos Karydas Bin Jiang |
| author_sort | Christos Karydas |
| collection | DOAJ |
| description | A new method for selecting optimal scales when mapping topographic or hydrographic features is introduced. The method employs rank-size partition of heavy-tailed distributions to detect nodes of rescaling invariance in the underlying hierarchy of the dataset. These nodes, known as head/tail breaks, can be used to indicate optimal scales. Then, the Fractal Net Evolution Assessment (FNEA) segmentation algorithm is applied with the topographic or hydrographic surfaces to produce optimally scaled objects. A topological transformation allows linking the two processes (partition and segmentation), while fractal dimension of the rescaling process is employed as an optimality metric. The new method is experimented with the two biggest river basins in Greece, namely Pinios and Acheloos river basins, using a digital elevation model as the only input dataset. The method proved successful in identifying a set of optimal scales for mapping elevation, slope, and flow accumulation. Deviation from the ideal conditions for implementing head/tail breaks are discussed. Implementation of the method requires an object-based analysis program and few common geospatial functions embedded in most GIS programs. The new method will assist in revealing underlying environmental processes in a variety of earth science fields and, thus, assist in land management decision-making and mapping generalization. |
| first_indexed | 2024-03-10T15:20:13Z |
| format | Article |
| id | doaj.art-e66e8ca545864a7caddfcf15dbef7017 |
| institution | Directory Open Access Journal |
| issn | 2220-9964 |
| language | English |
| last_indexed | 2024-03-10T15:20:13Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | ISPRS International Journal of Geo-Information |
| spelling | doaj.art-e66e8ca545864a7caddfcf15dbef70172023-11-20T18:33:22ZengMDPI AGISPRS International Journal of Geo-Information2220-99642020-10-0191163110.3390/ijgi9110631Scale Optimization in Topographic and Hydrographic Feature Mapping Using Fractal AnalysisChristos Karydas0Bin Jiang1Ecodevelopment S.A., Filyro P.O. Box 2420, 57010 Thessaloniki, GreeceDivision of GIScience, Faculty of Engineering and Sustainable Development, University of Gävle, SE-801 76 Gävle, SwedenA new method for selecting optimal scales when mapping topographic or hydrographic features is introduced. The method employs rank-size partition of heavy-tailed distributions to detect nodes of rescaling invariance in the underlying hierarchy of the dataset. These nodes, known as head/tail breaks, can be used to indicate optimal scales. Then, the Fractal Net Evolution Assessment (FNEA) segmentation algorithm is applied with the topographic or hydrographic surfaces to produce optimally scaled objects. A topological transformation allows linking the two processes (partition and segmentation), while fractal dimension of the rescaling process is employed as an optimality metric. The new method is experimented with the two biggest river basins in Greece, namely Pinios and Acheloos river basins, using a digital elevation model as the only input dataset. The method proved successful in identifying a set of optimal scales for mapping elevation, slope, and flow accumulation. Deviation from the ideal conditions for implementing head/tail breaks are discussed. Implementation of the method requires an object-based analysis program and few common geospatial functions embedded in most GIS programs. The new method will assist in revealing underlying environmental processes in a variety of earth science fields and, thus, assist in land management decision-making and mapping generalization.https://www.mdpi.com/2220-9964/9/11/631head/tail breaksfractal dimensionFNEAPiniosAcheloos |
| spellingShingle | Christos Karydas Bin Jiang Scale Optimization in Topographic and Hydrographic Feature Mapping Using Fractal Analysis ISPRS International Journal of Geo-Information head/tail breaks fractal dimension FNEA Pinios Acheloos |
| title | Scale Optimization in Topographic and Hydrographic Feature Mapping Using Fractal Analysis |
| title_full | Scale Optimization in Topographic and Hydrographic Feature Mapping Using Fractal Analysis |
| title_fullStr | Scale Optimization in Topographic and Hydrographic Feature Mapping Using Fractal Analysis |
| title_full_unstemmed | Scale Optimization in Topographic and Hydrographic Feature Mapping Using Fractal Analysis |
| title_short | Scale Optimization in Topographic and Hydrographic Feature Mapping Using Fractal Analysis |
| title_sort | scale optimization in topographic and hydrographic feature mapping using fractal analysis |
| topic | head/tail breaks fractal dimension FNEA Pinios Acheloos |
| url | https://www.mdpi.com/2220-9964/9/11/631 |
| work_keys_str_mv | AT christoskarydas scaleoptimizationintopographicandhydrographicfeaturemappingusingfractalanalysis AT binjiang scaleoptimizationintopographicandhydrographicfeaturemappingusingfractalanalysis |