Related Experiment Video
Updated: Jul 19, 2025
09:44
Use of Principal Components for Scaling Up Topographic Models to Map Soil Redistribution and Soil Organic Carbon
Published on: October 16, 2018
10.3K
Height Fluctuations and Surface Gradients in Topographic Measurements
Julie Lemesle1,2, Clement Moreau3,4, Raphael Deltombe3
1U.R Concept, 59300 Valenciennes, France.
Materials (Basel, Switzerland)
|August 12, 2023
Summary
Surface height fluctuations in topographic maps are exponentially related to local surface gradients. Understanding these fluctuations reveals insights into surface functionality and integrity across various material types.
Area of Science:
- Geosciences
- Materials Science
- Surface Metrology
Background:
- Topographic maps represent surfaces using (x, y, z) coordinates.
- Height fluctuations represent measurement uncertainties at specific surface locations.
Purpose of the Study:
- To investigate the relationship between height fluctuations and surface gradients in topographic data.
- To determine how surface characteristics influence measurement uncertainties.
Main Methods:
- Analysis of pixel coordinates (x, y) and height samples (z).
- Calculation of surface gradients from normal vectors of triangular facets.
- Comparison of gradient maps with height fluctuation maps.
Main Results:
- Height fluctuations show an exponential dependence on local surface gradients.
- Highest fluctuations correlate with specific surface features like turned, sandblasted, or abraded surfaces.
- Fluctuations are influenced by tool/material interactions and plastic deformation.
Conclusions:
- Surface topography dictates fluctuation regimes and measurement uncertainties.
- Regions with high fluctuations can indicate critical surface functionality or integrity.
- This relationship is applicable to diverse surface types, including heterogeneous and multilayered materials.
More Related Videos
08:09Measuring and Mapping Patterns of Soil Erosion and Deposition Related to Soil Carbonate Concentrations Under Agricultural Management
Published on: September 12, 2017
11.8K
07:20Laboratory and Field Protocol for Estimating Sheet Erosion Rates from Dendrogeomorphology
Published on: January 7, 2019
7.8K
Related Concept Videos
01:25Methods of Obtaining Topography
84
Topography involves measuring and mapping land elevations, natural features, and artificial structures to create accurate representations of the terrain. Topographic surveying relies on traditional and modern methods, each with distinct advantages and limitations.Traditional Surveying Methods:Transit stadia surveys and plane table surveys were widely used traditional surveying methods. These techniques relied on instruments like theodolites and stadia rods for measuring distances and angles,...
84
01:29Topographic Surveying and Contours
126
Topographic surveying is critical for documenting the Earth's surface, focusing on capturing elevations, slopes, and natural and man-made features. It is essential in construction planning, water resource management, and land-use analysis. The primary outcome of such surveys is a topographic map, which uses contour lines to visually represent the shape and slope of the terrain, providing valuable insights into the landscape's characteristics.Contour lines are fundamental to understanding the...
126
01:29Plotting of Topographic Maps
62
Topographic maps represent the Earth's surface features using contour lines, which connect points of equal elevation to create a two-dimensional representation of three-dimensional terrain. Creating a topographic map requires a systematic approach.Begin by plotting a scaled grid and marking intersections corresponding to the survey's elevation data points. Assign elevation values at these intersections to build the base map. Next, determine contour levels using a consistent contour interval,...
62
01:26Influence of Earth's Curvature and Atmospheric Refraction on Leveling
141
During leveling, the Earth's curvature and atmospheric refraction introduce deviations in the line of sight from a true horizontal reference. When the line of sight is leveled, it remains perpendicular to the plumb line only at a single point. Beyond this, it deviates due to the Earth’s curvature, represented by the correction C. For a sight distance D, the deviation can be derived using the relationship:This relationship shows that the deviation increases quadratically with distance.
141
01:26Profile Leveling and Cross Sections
324
Profile leveling and cross-sections are surveying methods used to determine and document terrain elevations for infrastructure projects such as highways, railroads, canals, and pipelines. These methods provide data for earthwork planning and alignment of proposed routes. Profile leveling involves measuring elevations along a fixed line to create a vertical terrain profile. A surveyor sets up a leveling instrument at the benchmark (BM) and records a backsight (BS) to determine the...
324
01:17Common Leveling Mistakes and Errors
97
A survey team is tasked with determining the elevation difference between points Point A and Point B, separated by uneven terrain. They use a leveling instrument and a leveling rod.Common MistakesMisreading the Rod: During a backsight reading at Point A, the instrumentman observes the rod partially obscured by tall grass. Instead of reading 1.135 m, they mistakenly record 1.735 m due to the misalignment of the crosshair with the wrong graduation. This error adds 0.600 m to all subsequent...
97