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Journal Articles
Publisher: ASME
Article Type: Editorial
J. Auton. Veh. Sys. April 2025, 5(2): 020201.
Paper No: JAVS-25-1005
Published Online: February 25, 2025
Journal Articles
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Top and perspective views of three example monofractal terrains (a,e), (b,f), and (c,g) generated using the 3D Weierstrass–Mandelbrot function using different parameters. An example multifractal terrain (d) and (h) using our approach, which combines the three example terrains to create more varied roughness for autonomous ground vehicle testing
Published Online: February 17, 2025
Fig. 1 Top and perspective views of three example monofractal terrains ( a , e ), ( b , f ), and ( c , g ) generated using the 3D Weierstrass–Mandelbrot function using different parameters. An example multifractal terrain ( d ) and ( h ) using our approach, which combines the three example terrain... More about this image found in Top and perspective views of three example monofractal terrains ( a , e ), ...
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Example of (a) low-, (b) mid-, and (c) and high-frequency monofractal DEMs, combined via the pixel-wise product to create a (d) fourth multifractal DEM, which is imported into Unreal Engine for autonomous ground vehicle testing. Note that (a)–(c) have Weierstrass–Mandelbrot ridges (M) equal to 16, 32, and 64, fractal dimensions (D) equal to 2.2, 2.45, and 2.45, and elevation scaling coefficients (G) equal to 1 × 10−6, 8 × 10−8, and 1 × 10−8, respectively.
Published Online: February 17, 2025
Fig. 2 Example of ( a ) low-, ( b ) mid-, and ( c ) and high-frequency monofractal DEMs, combined via the pixel-wise product to create a ( d ) fourth multifractal DEM, which is imported into Unreal Engine for autonomous ground vehicle testing. Note that ( a )–( c ) have Weierstrass–Mandelbrot ridg... More about this image found in Example of ( a ) low-, ( b ) mid-, and ( c ) and high-frequency monofractal...
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(a) An example multifractal DEM with a top-down view of its grayscale image. (b) The DEM in (a) is imported, scaled, and rendered in Unreal Engine. (c) A perspective view of the Unreal Engine-rendered terrain with a simulated Clearpath Husky autonomous ground vehicle in view, with its corresponding map location shown in (b) as a white rectangle.
Published Online: February 17, 2025
Fig. 3 ( a ) An example multifractal DEM with a top-down view of its grayscale image. ( b ) The DEM in ( a ) is imported, scaled, and rendered in Unreal Engine. ( c ) A perspective view of the Unreal Engine-rendered terrain with a simulated Clearpath Husky autonomous ground vehicle in view, with i... More about this image found in ( a ) An example multifractal DEM with a top-down view of its grayscale ima...
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An example Moore neighborhood gradient map with pixels categorized into one of three groups: low (dark shading), semi (medium shading), or high roughness (light shading) (a). The gradient map from (a) is then filtered with a morphological closing filter for random mission selection, where high-roughness areas cannot contain a start/goal location, semi-rough areas cannot contain a start location, and low-roughness areas are free to contain start/goal locations (b). The filtered gradient map from (b) is shown with 20 randomly selected missions with straight lines connecting respective start (light dots) and goal (dark dots) locations (c).
Published Online: February 17, 2025
Fig. 4 An example Moore neighborhood gradient map with pixels categorized into one of three groups: low (dark shading), semi (medium shading), or high roughness (light shading) ( a ). The gradient map from ( a ) is then filtered with a morphological closing filter for random mission selection, whe... More about this image found in An example Moore neighborhood gradient map with pixels categorized into one...
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A bar graph of the multifractal DEM’s median areas of (a) low, (b) semi, and (c) high roughness, all by the fractal dimension used in the high-frequency DEM. Twenty terrain maps are generated for each of the three fractal dimension values of 2.3, 2.45, and 2.6, for a total of 60 maps.
Published Online: February 17, 2025
Fig. 5 A bar graph of the multifractal DEM’s median areas of ( a ) low, ( b ) semi, and ( c ) high roughness, all by the fractal dimension used in the high-frequency DEM. Twenty terrain maps are generated for each of the three fractal dimension values of 2.3, 2.45, and 2.6, for a total of 60 maps.... More about this image found in A bar graph of the multifractal DEM’s median areas of ( a ) low, ( b ) semi...
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Boxplots of the autonomous ground vehicle's (AGV's) success rate statistics in all terrains. The boxplots are grouped by the fractal dimension used in the high-frequency digital elevation map for generation. Twenty randomly selected A-to-B straight-line paths are traversed by the AGV in 60 terrain maps, totaling 1200 trials. The success rate is calculated for each terrain map.
Published Online: February 17, 2025
Fig. 6 Boxplots of the autonomous ground vehicle's (AGV's) success rate statistics in all terrains. The boxplots are grouped by the fractal dimension used in the high-frequency digital elevation map for generation. Twenty randomly selected A-to-B straight-line paths are traversed by the AGV in 60 ... More about this image found in Boxplots of the autonomous ground vehicle's (AGV's) success rate statistics...
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Boxplots of the autonomous ground vehicle's (a) RMS vertical accelerations, (b) RMS pitch rates, (c) RMS roll rates, and (d) and traversal times for successful trials across all 60 terrain maps by the digital elevation maps' fractal dimension. Note that the number of successful trials is 361, 282, and 225 for all terrains generated with fractal dimensions of 2.3, 2.45, and 2.6, respectively
Published Online: February 17, 2025
Fig. 7. Boxplots of the autonomous ground vehicle's ( a ) RMS vertical accelerations, ( b ) RMS pitch rates, ( c ) RMS roll rates, and ( d ) and traversal times for successful trials across all 60 terrain maps by the digital elevation maps' fractal dimension. Note that the number of successful tri... More about this image found in Boxplots of the autonomous ground vehicle's ( a ) RMS vertical acceleration...
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