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This paper presents a new approach for precision estimation for algebraic ellipse fitting based on combined least squares method. Our approach is based on coordinate description of the ellipse geometry to determine the error distances of the fitting method. Since it is an effective fitting algorithm the well-known Direct Ellipse Fitting method was selected as an algebraic method for precision estimation. Once an ellipse fitted to the given data points, algebraic distance residuals for each data point and fitting accuracy can be computed. Generally, the adopted approach has revealed geometrical aspect of precision estimation for algebraic ellipse fitting. The experimental results revealed that our approach might be a good choice for precision estimation of the ellipse fitting method.

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There are different criteria for designing a geodetic network in an optimal way. An optimum network can be regarded as a network having high precision, reliability and low cost. Accordingly, corresponding to these criteria different single-objective models can be defined. Each one can be subjected to two other criteria as constraints. Sometimes the constraints can be contradictory so that some of the constraints are violated. In this contribution, these models are mathematically reviewed. It is numerically shown how to prepare these mathematical models for optimization process through a simulated network. We found that the reliability model yields small position changes between those obtained using precision respectively. Elimination of some observations may happen using precision and cost model while the reliability model tries to save number of observations. In our numerical studies, no contradictions can be seen in reliability model and this model seems to be more suitable for designing of the geodetic and deformation networks.

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Auernhammer, H. 2001. Precision farming — the environmental challenge. Computers and Electronics in Agriculture. 30 :31–43 Auernhammer H

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Long D. — Rosenthal T.:2005. Evaluation of an on-combine wheat protein analyzer on Montana hard red spring wheat. Precision Agriculture 5th ECPA — European Conference on Precision Agriculture. Uppsala. Sweden. Book of

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1 Introduction In order to make better decisions related with crop production, precision agriculture practices information technologies to transport data from several sources, and it consists of three components: capturing data in an accurate manner

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Abstract  

The precision of an activation analysis method prescribes the estimation of the precision of a single analytical result. The adequacy of these estimates to account for the observed variation between duplicate results from the analysis of different samples and materials, is tested by the statistic T, which is shown to be approximated by a chi-squared distribution. Application of this test to the results of determinations of manganese in human serum by a method of established precision, led to the detection of airborne pollution of the serum during the sampling process. The subsequent improvement in sampling conditions was shown to give not only increased precision, but also improved accuracy of the results.

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Abstract  

The errors of analysis due to the different parameters involved in 14 MeV neutron activation analysis method are studied. Formulae to calculate these erros have been developed when possible. Otherwise they have been evaluated for special experimental situations. Special cases where some parameters become critical, as far as precision is concerned, have been mentioned.

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Kalmár S. — Salamon L. — Reisinger P. Nagy S. 2004: Possibilities of applying precision weed control in Hungary. Gazdálkodás. English Special Edition. XLVII. évf. 88–94 pp

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Abstract  

Four different approaches to PIXE data obtained in repeated measurements on thick standards have been evaluated in terms of precision and accuracy. Both were found to be the best when determinations relative to an external standard were normalized to a composition assumed to be 100% oxides.

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Abstract  

The half-life of38Cl obtained by thermal neutron capture was measured to be 37.236±0.009 min. Values of the energy levels of38Ar from decay of38Cl were determined with a better precision than those available in the literature.

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