An objective approach for feature extraction: Distribution analysis and statistical descriptors for scale choice and channel network identification

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Abstract

A statistical approach to LiDAR derived topographic attributes for the automatic extraction of channel network and for the choice of the scale to apply for parameter evaluation is presented in this paper. The basis of this approach is to use distribution analysis and statistical descriptors to identify channels where terrain geometry denotes significant convergences. Two case study areas with different morphology and degree of organization are used with their 1m LiDAR Digital Terrain Models (DTMs). Topographic attribute maps (curvature and openness) for various window sizes are derived from the DTMs in order to detect surface convergences. A statistical analysis on value distributions considering each window size is carried out for the choice of the optimum kernel. We propose a three-step method to extract the network based (a) on the normalization and overlapping of openness and minimum curvature to highlight the more likely surface convergences, (b) a weighting of the upslope area according to these normalized maps to identify drainage flow paths and flow accumulation consistent with terrain geometry, (c) the standard score normalization of the weighted upslope area and the use of standard score values as non subjective threshold for channel network identification. As a final step for optimal definition and representation of the whole network, a noise-filtering and connection procedure is applied. The advantage of the proposed methodology, and the efficiency and accurate localization of extracted features are demonstrated using LiDAR data of two different areas and comparing both extractions with field surveyed networks. © Author(s) 2011. CC Attribution 3.0 License.

Figures

  • Fig. 1. Maps showing the location of the study area on the Cordon basin (A) and the test area on the Miozza basin (B). Drainage network and surveyed channel heads are shown.
  • Fig. 2. Example of complex morphology on the upper part of the Cordon basin. The high degree of complexity (A) and the rapid slope change (B) define two of the main issues related to channel network extraction on this area according to topographic parameters and classic thresholding procedure respectively.
  • Fig. 3. Flow chart of the proposed methodology. Local morphology is enlightened through Topographic Attributes (Minimum Curvature Cmin, Positive Openness φL, Negative Openness ψL). The choice of the optimum kernel size (n∗) is done through the analysis of the relationship between skewness and kernel width (n). Topographic attributes computed considering the optimum kernel are analyzed through QQ-Plot to identify thresholds to normalize each map. Flow convergence is done through multiple flow upslope area (AMDF) weighted according to a matrix depending on the normalized topographic attributes. Network is then identified as positive values of the weighted area standard score.
  • Fig. 4. Example of kernel size effect on minimum curvature (A) and negative openness (B) for the Cordon area according to an increasing window size (n) of 3, 15 and 33 cells.
  • Fig. 5. Skewness for each parameters according to window size (n) for the Cordon study site (A) and the Miozza basin (B).
  • Fig. 6. Derivative computed by the polynomial “fitting/enforcing” approach for curvature and openness evaluation, both for the Cordon study site (A) and the Miozza basin (B). Detailed vision of points where the derivatives equal zero are shown on the right side of the figure, in i for the Cordon evaluation and ii for the Miozza one.
  • Fig. 7. Cordon study area: topographic attribute map normalization. Example of QQ-Plot (A) for minimum curvature and identification of threshold (i) to apply in order to normalize the map (QQ-Plotthr). Minimum curvature for n= 11 (B) and derived normalized map (C) are shown.
  • Fig. 8. Cordon study area: positive (A) and negative (B) openness, minimum curvature (C) and weight matrix (D) derived through normalization and overlapping.

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CITATION STYLE

APA

Sofia, G., Tarolli, P., Cazorzi, F., & Dalla Fontana, G. (2011). An objective approach for feature extraction: Distribution analysis and statistical descriptors for scale choice and channel network identification. Hydrology and Earth System Sciences, 15(5), 1387–1402. https://doi.org/10.5194/hess-15-1387-2011

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