Concept
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- Preferred Labelskos:prefLabel
MD51
- URI
- https://standards.isotc211.org/19157/-3/1/dqc/content/measureDescription/MD51 ↗Go to the persistent identifier link
- Within Vocab
- ISO19157-3 quality measures
| Definitionskos:definition | Calculation of uncertainty ellipse parameters by eigenvalues from a given covariance matrix (https://standards.isotc211.org/19157/-1/1/dqc/content/qualityMeasure/32) of 2D point coordinates.
With values for the -distribution of a 2D-confidence ellipse 5,99 9,21 |
|---|---|
| has broaderbroader | 51 - confidence ellipse 2D ellipse with the two main axes indicating the direction and magnitude of the highest and the lowest uncertainty of a 2D point. |
| has narrowernarrower | https://standards.isotc211.org/19157/-3/1/dqc/content/formulaType/FT51 |
| FT51_1 <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ϕ</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>arctan</mi> <mfrac> <mrow> <mn>2</mn> <msub> <mi>σ</mi> <mrow> <msub> <mi>x</mi> <mi>k… | |
| FT51_2 <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi> <mo>=</mo> <msqrt> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <msubsup> <mi>χ</mi> <mrow> <mn>1</mn> <mo>-</mo> <mi>α</mi> </mrow> <mn>2</mn> </… | |
| FT51_3 <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi> <mo>=</mo> <msqrt> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <msubsup> <mi>χ</mi> <mrow> <mn>1</mn> <mo>-</mo> <mi>α</mi> </mrow> <mn>2</mn> </… | |
| notationnotation | MD51 |
| Formulaformula | FT51_1 |
| FT51_2 | |
| FT51_3 |