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Error Propagation in Geometric Constructions
, 2000
"... In this paper we consider error propagation in geometric constructions from a geometric viewpoint. First we study affine combinations of convex bodies: This has numerous examples in splines curves and surfaces defined by control points. Second, we study in detail the circumcircle of three points in ..."
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Cited by 12 (7 self)
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In this paper we consider error propagation in geometric constructions from a geometric viewpoint. First we study affine combinations of convex bodies: This has numerous examples in splines curves and surfaces defined by control points. Second, we study in detail the circumcircle of three points
Linearized Error Propagation in Odometry
- THE INTERNATIONAL JOURNAL OF ROBOTICS RESEARCH 2004; 23; 179;
, 2004
"... The related fields of mobile robotics and ground vehicle localization lack a linearized theory of odometry error propagation. By contrast, the equivalent Schuler dynamics which apply to inertial guidance have been known and exploited for decades. In this paper, the general solution of linearized pro ..."
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Cited by 20 (3 self)
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The related fields of mobile robotics and ground vehicle localization lack a linearized theory of odometry error propagation. By contrast, the equivalent Schuler dynamics which apply to inertial guidance have been known and exploited for decades. In this paper, the general solution of linearized
UNIVERSAL ERROR PROPAGATION LAW
"... modelling random errors in many engineering and application fields since 1809. In recent years, this theory has been extended to handle the uncertainties of spatial data in GIS, such as positional error modelling. But most of the results for spatial error modelling based on GD are contradictory with ..."
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points as the fundamental building blocks, a new spatial statistical theory – Universal Error Propagation Law (UEPL) is presented to handle global error propagations for spatial random sets (or objects). Practical examples and simulations are given to illustrate the error propagations based on UEPL
Error Propagation in Distributed Databases
, 1995
"... An interesting research area for distributed database systems is inaccessibility. Even if part of the database is inaccessible, a query should be evaluated reasonably. This means, that appropriate rules for propagation and minimization of errors induced by inaccessibility are needed. Furthermore, th ..."
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Cited by 4 (4 self)
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An interesting research area for distributed database systems is inaccessibility. Even if part of the database is inaccessible, a query should be evaluated reasonably. This means, that appropriate rules for propagation and minimization of errors induced by inaccessibility are needed. Furthermore
Error Propagation for Satellite Gradiometry
, 1997
"... Two approaches for the estimation of potential coefficients from satellite gradiometry are compared: leastsquares and quadrature. Three errors are computed for each method: the propagated error, the bias and the aliasing error. Special attention is given to the effect of the regularization required ..."
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Two approaches for the estimation of potential coefficients from satellite gradiometry are compared: leastsquares and quadrature. Three errors are computed for each method: the propagated error, the bias and the aliasing error. Special attention is given to the effect of the regularization required
Error propagation in polarimetric demodulation
, 804
"... The polarization analysis of the light is typically carried out using modulation schemes. The light of unknown polarization state is passed through a set of known modulation optics and a detector is used to measure the total intensity passing the system. The modulation optics is modified several tim ..."
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Cited by 2 (0 self)
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present problems of repeatability, some uncertainty is present in the elements of the modulation matrix and/or covariances between these elements. We analyze in detail this issue, presenting analytical formulae for calculating the covariance matrix produced by the propagation of such uncertainties
On Numerical Error Propagation with Sensitivity
"... An emerging area of research is to automatically compute reasonably precise upper bounds on numerical errors including roundoffs. Previous approaches for this task are limited in their precision and scalability, especially in the presence of branches and loops. We argue that one reason for these lim ..."
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to precisely and efficiently account for propagation of errors through long-running computation. Using this approach we implemented an analysis for programs containing nonlinear computation, conditionals, and loops. In the presence of loops our approach can find closed-form symbolic invariants capturing upper
ERROR PROPAGATION IN QCD FITS
, 2000
"... The parton momentum density distributions of the proton were obtained from a NLO QCD analysis of HERA and fixed target structure function data. The resulting parton distribution set includes the full information on errors and correlations. 1 ..."
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The parton momentum density distributions of the proton were obtained from a NLO QCD analysis of HERA and fixed target structure function data. The resulting parton distribution set includes the full information on errors and correlations. 1
Results 1 - 10
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5,962