scholarly journals Practical Procedure for Position Tolerance Uncertainty Determination via Monte-Carlo Error Propagation

2012 ◽  
Vol 12 (1) ◽  
pp. 1-7 ◽  
Author(s):  
S. Kosarevsky ◽  
V. Latypov
2006 ◽  
Vol 33 (17-18) ◽  
pp. 1424-1436 ◽  
Author(s):  
Masayuki Tohjoh ◽  
Tomohiro Endo ◽  
Masato Watanabe ◽  
Akio Yamamoto

Author(s):  
S. M. Orel ◽  
O. V. Ivashchenko

Military activities resulting in chemical pollution of the environment could produce a long-term impact on human health, whereas under certain conditions even ultra-low concentrations of some substances might provoke cancer, without noticeable toxic effect. According to modern views on carcinogenesis, the effect of carcinogens on human health does not have a threshold level of concentration. With the current deplorable state of the environment and an urgent need to improve it in view, we argue that there is a critical need for the mechanism that could assess the real state of the environment and would be instrumental for optimal decision-making process aimed at reducing environmental costs. The paper reports a case-study and exemplifies that a stepped health risk assessment is appropriate and helpful in case of environmental pollution following military actions. It also highlights the results of the risk assessment for life of the population living in the vicinity of hostilities. The results of the possible risk calculations concerning the damage non-carcinogenic and carcinogenic compounds could cause to the people living in the vicinity of hostilities were obtained in stages; the simple Monte Carlo error propagation methods and the two-dimensional Monte Carlo procedure were used to estimate the probability of different outcomes due to the intervention of random variables. It is shown that, in comparison with the simple Monte Carlo error propagation methods, the two-dimensional Monte Carlo procedure for estimating the probability of different outcomes provides additional information for the decision-making process, concerning either taking some specific measures or not. The findings of the study are the following: the assessment and subsequent analysis of environmental risk provide much more relevant information for taking an environmental decision, as compared to the threshold concentration methodology. The risk assessment should be carried out in stages, starting from simple (deterministic) to more complex ones (first the simple Monte Carlo error propagation methods, and later, two-dimensional Monte Carlo method), whenever there arise any of the following needs: if it is necessary to establish priorities among the areas, polluters, pollutants, pollutant transfer routes, categories of population and other risk factors; if resources for environmental conservation are limited; if mistaken decisions could generate destructive results; if there is a lack of information necessary to take a competent decision.


2015 ◽  
Vol 734 ◽  
pp. 572-576
Author(s):  
Qiao Fu Zhang ◽  
Xiao Qing Hu ◽  
Yan Jie Zhu ◽  
Ye Li

The error propagation theory and Monte Carlo simulations were employed to quantitatively evaluate the robustness of the saturated Turbo FLASH (Fast Low Angle SHot, satTFL) method. The uncertainty and probability density function (PDF) of the satTFL were derived. An out-of-phase method was introduced to correct flip angles larger than 90 degrees. Monte Carlo simulations were implemented to estimate the impact of Gaussian white noises in the image domain and thus the sensitivity could be visualized for different flip angles and signal to noise ratios (SNRs). The uncertainty, Monte Carlo simulations and experiments show that the satTFL is more precise for flip angles around 90 degrees.


2013 ◽  
Vol 59 (2) ◽  
pp. 25-39 ◽  
Author(s):  
Ivan Mudron ◽  
Michal Podhoranyi ◽  
Juraj Cirbus ◽  
Branislav Devečka ◽  
Ladislav Bakay

Abstract This paper summarizes the methods and results of error modelling and propagation analyses in the Olše and Stonávka confluence area. In terrain analyses, the outputs of the aforementioned analysis are always a function of input. Two approaches according to the input data were used to generate field elevation errors which subsequently entered the error propagation analysis. The main goal solved in this research was to show the importance of input data in slope estimation and to estimate the elevation error propagation as well as to identify DEM errors and their consequences. Dependencies were investigated as well to achieve a better prediction of slope errors. Four different digital elevation model (DEM) resolutions (0.5, 1, 5 and 10 meters) were examined with the Root Mean Square Error (RMSE) rating up to 0.317 meters (10 m DEM). They all originated from a LIDAR survey. In the analyses, a stochastic Monte Carlo simulation was performed with 250 iterations. The article focuses on the error propagation in a large-scale area using high quality input DEM and Monte Carlo methods. The DEM uncertainty (RMSE) was obtained by sampling and ground research (RTK GPS) and from subtraction of two DEMs. According to empirical error distribution a semivariogram was used to model spatially autocorrelated uncertainty in elevation. The second procedure modelled the uncertainty without autocorrelation using a random N(0,RMSE) error generator. Statistical summaries were drawn to investigate the expected hypothesis. As expected, the error in slopes increases with the increasing vertical error in the input DEM. According to similar studies the use of different DEM input data, high quality LIDAR input data decreases the output uncertainty. Errors modelled without spatial autocorrelation do not result in a greater variance in the resulting slope error. In this case, although the slope error results (comparing random uncorrelated and empirical autocorrelated error fields) did not show any statistical significant difference, the input elevation error pattern was not normally distributed and therefore the random error generator realization is not a suitable interpretation of the true state of elevation errors. The normal distribution was rejected because of the high kurtosis and extreme values (outliners). On the other hand, it can show an important insight into the expected elevation and slope errors. Geology does not influence the slope error in the study area.


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