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TitleAn integral image approach to performing multi-scale topographic position analysis
AuthorLindsay, J; Gallant, J; Cockburn, J; Russell, H
SourceAGU-GAC-MAC-CGU, 2015 Joint Assembly, abstract; 2015 p. 1
Alt SeriesEarth Sciences Sector, Contribution Series 20140402
MeetingAGU-GAC-MAC-CGU, 2015 Joint Assembly; Montreal; CA; May 3-7, 2015
Mediapaper; digital; on-line
File formatpdf
ProvinceOntario; Quebec
NTS21; 22; 31; 32
AreaEastern North America
Lat/Long WENS-80.0000 -70.0000 50.0000 40.0000
Subjectstopography; landforms; landform classification; digital elevation models
Illustrationslocation map
ProgramAquifer Assessment & support to mapping, Groundwater Geoscience
LinksOnline - En ligne
AbstractDigital elevation model (DEM) derived measures of terrain ruggedness and relative topographic position are useful parameters for automated landform classification and are widely applied in soils, vegetation, and habitat mapping. These topographic attributes are inherently scale dependent because they are defined in the context of a local neighborhood. Previous studies have focused on assessing the multi-scale properties of these attributes based on varying roving window sizes, grid resolution resampling, and hierarchical object-based methods. Despite significant advantages, the computationally intensive nature of large-window DEM filtering has limited the varying window size approach from being used to study the scaling properties of topographic position in high resolution and at broad spatial scales.
This study uses integral image and integral histogram based approaches to explore two common measures of relative topographic position, deviation from mean elevation (DEV) and elevation percentile (EP). The approaches were applied to a massive DEM of an extensive, heterogeneous region in eastern North America (40°N to 50°N and 70°W to 80°W). Compared with traditional image filtering techniques, the integral image approach was extremely efficient for calculating DEV, enabling high-resolution multi-scale analysis. A technique, based on a novel multi-scale DEV, was developed for visualizing the scaling characteristics of topographic position using color composite imagery. The information density in these images, provided by the contrast in the dominant scale response of nearby pixels, was very high. The integral histogram approach was similarly highly computationally efficient, enabling EP measurement at scales that are not feasible using traditional methods. However, large memory requirements limited applicability to moderate sized DEMs of low-to-moderate relief landscapes.
Summary(Plain Language Summary, not published)
Demonstrates the application of a fast filter approach to digital elevation model analysis for terrain analysis