Estimation of average DEM accuracy under linear interpolation considering random error at the nodes of TIN model

Zhu, Chenchen; Shi, Wenzhong; Li, Qingquan; Wang, Guangxia; Cheung, Teris; Dai, Erfu; Shea, Geoffrey

doi:10.1080/10245330500169029

Cited by 32 publications

(19 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It was thought that 10000 points can reasonably represent the whole triangular surface. On this basis, the mean value of M for the whole triangular surface was calculated as 1/2, which is consistent with the value given by Zhu et al (2005). This suggested that the mean error variance (0.5ߪ ௭ ౚ ଶ ) of a triangle surface could also be derived through the simple experimental method presented here.…”

Section: The Parameter Msupporting

confidence: 68%

“…Historically, the source data used for the generation of DEMs have most frequently come from contour lines, paper maps and imagery such as stereo aerial photographs (Fisher and Tate, 2006;Zhu et al, 2005). Imagery from various platforms still represents a popular source of data with which to construct DEMs (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Previous studies on this have mainly focused on vertical error propagation. Zhu et al (2005) reported that the average elevation error variance of a triangular surface was half the vertical error variance at node points, based on the assumption that the error variance of node points is identical and independent. Shi et al (2005) estimated the propagated error variance from source data into DEMs created through higher-order interpolation (biquadratic and bicubic).…”

Section: Introductionmentioning

confidence: 99%

“…Only the average error variance for a TIN model was evaluated in these studies (i.e. Zhu et al, 2005;Shi et al, 2005;Aguilar et al, 2006). Kyriakidis and Goodchild (2006) also investigated the average error variance of three linear interpolation methods (line linear, TIN linear and bilinear), and the propagation of vertical error variance at node points into a generic point using the geostatistics framework.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Propagation of vertical and horizontal source data errors into a TIN with linear interpolation

Fan

Smethurst

Atkinson

et al. 2014

International Journal of Geographical Information Science

View full text Add to dashboard Cite

Digital elevation models (DEMs) have been widely used for a range of applications and form the basis of many GIS related tasks. An essential aspect of a DEM is its accuracy, which depends on a variety of factors, such as source data quality, interpolation methods, data sampling density and the surface topographical characteristics. In recent years, point measurements acquired directly from land surveying such as differential global positioning system (DGPS) and light detection and ranging (LiDAR) have become increasingly popular. These topographical data points can be used as the source data for the creation of DEMs at a local or regional scale. The errors in point measurements can be estimated in some cases. The focus of this article is on how the errors in the source data propagate into DEMs. The interpolation method considered is a triangulated irregular network (TIN) with linear interpolation. Both horizontal and vertical errors in source data points are considered in this study. An analytical method is derived for the error propagation into any particular point of interest within a TIN model. The solution is validated using Monte Carlo simulations and survey data obtained from a terrestrial laser scanner.

show abstract

Section: The Parameter Msupporting

confidence: 68%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Propagation of vertical and horizontal source data errors into a TIN with linear interpolation

Fan

Smethurst

Atkinson

et al. 2014

International Journal of Geographical Information Science

View full text Add to dashboard Cite

show abstract

“…They don't highlight the relationship between the obtained results and assessment issues. Zhu et al (2005) deal with variance propagation of TIN interpolation. The paper exclusively concerns the technicalities used by the authors to obtain a result comparable to our formula (16).…”

Section: Papers Focusing On Stochastic Properties Of Tin and Bilinearmentioning

confidence: 99%

Standardization of figures and assessment procedures for DTM verticalaccuracy

Casella

Franzini

2014

Geomatics, Natural Hazards and Risk

View full text Add to dashboard Cite

Digital Terrain Models (DTMs) are widely used in many sectors. They play a key role in hydrological risk prevention, risk mitigation and numeric simulations. This paper deals with two questions: (i) when it is stated that a DTM has a given vertical accuracy, is this assertion univocal? (ii) when DTM vertical accuracy is assessed by means of checkpoints, does their location influence results? First, the paper illustrates that two vertical accuracy definitions are conceivable: Vertical Accuracy at the Nodes (VAN, the average vertical distance between the model and the terrain, evaluated at the DTM's nodes) and Vertical Accuracy at the interpolated Points (VAP, in which the vertical distance is evaluated at the generic points). These two quantities are not coincident and, when they are calculated for the same DTM, different numeric values are reached. Unfortunately, the two quantities are often interchanged, but this is misleading. Second, the paper shows a simulated example of a DTM vertical accuracy assessment, highlighting that the checkpoints' location plays a key role: when checkpoints coincide with the DTM nodes, VAN is estimated; when checkpoints are randomly located, VAP is estimated, instead. Third, an in-depth, theoretical characterization of the two considered quantities is performed, based on symbolic computation, and suitable standardization coefficients are proposed. Finally, our discussion has a welldefined frame: it doesn't deal with all the items of the DTM vertical accuracy budget, which would require a much longer essay, but only with one, usually called fundamental vertical accuracy.

show abstract