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# Table of Contents
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# Table of Contents
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[**7. Post-processing of Calculated Velocities**](#post-traitement-des-vitesses-calcul%C3%A9es)
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[**7. Post-processing of calculated velocities**](#post-processing-of-calculated-velocities)
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- [Filtering Instantaneous Results](#wastebasket-filtrage-des-r%C3%A9sultats-instantan%C3%A9s)
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- [Filtering Instantaneous Results](#wastebasket-filtering-instantaneous-results)
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- [1. Median Test](#1-test-m%C3%A9dian)
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- [1. Median Test](#1-median-test)
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- [2. Velocity Threshold](#2-seuil-vitesse)
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- [2. Velocity Threshold](#2-velocity-threshold)
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- [3. Correlation Threshold](#3-seuil-corr%C3%A9lation)
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- [3. Correlation Threshold](#3-correlation-threshold)
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- [4. Correlation Peak](#4-pic-de-corr%C3%A9lation)
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- [4. Correlation Peak](#4-correlation-peak)
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- [5. Velocity Distribution](#5-distribution-des-vitesses)
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- [5. Velocity Distribution](#5-velocity-distribution)
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- [6. Perpendicular Velocity Dispersion to the Transect](#6-dispersion-des-vitesses-perpendiculaires-au-transect)
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- [6. Angular Dispersion](#6-angular-dispersion)
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- [7. Angular Dispersion](#7-dispersion-angulaire)
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- [Mean Results](#bar_chart-moyenne-des-r%C3%A9sultats)
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- [Mean Results](#bar_chart-moyenne-des-r%C3%A9sultats)
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- [Statistics of Velocity Results](#chart_with_upwards_trend-statistiques-des-r%C3%A9sultats-de-vitesse)
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- [Statistics of Velocity Results](#chart_with_upwards_trend-statistiques-des-r%C3%A9sultats-de-vitesse)
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... | @@ -19,7 +18,7 @@ The post-processing step includes filtering and averaging the velocity results. |
... | @@ -19,7 +18,7 @@ The post-processing step includes filtering and averaging the velocity results. |
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![image70](uploads/1d1dcd6d6167fa949b94ca8182eb0eee/image70.png)
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![image70](uploads/1d1dcd6d6167fa949b94ca8182eb0eee/image70.png)
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# :wastebasket: Filtering Instantaneous Results
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# :wastebasket: Filtering instantaneous results
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The **_Post-processing🡪 Filtering Instantaneous Results_** menu opens the filtering interface. Several filters are available:
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The **_Post-processing🡪 Filtering Instantaneous Results_** menu opens the filtering interface. Several filters are available:
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1. Median Test: Filters based on the spatial consistency of velocities.
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1. Median Test: Filters based on the spatial consistency of velocities.
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... | @@ -179,23 +178,7 @@ The velocity distribution filter ensures the temporal consistency of the results |
... | @@ -179,23 +178,7 @@ The velocity distribution filter ensures the temporal consistency of the results |
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For each time step, if the **norm deviates by more than 3 standard deviations from the mean norm**, the calculated velocity is rejected (default parameter ***n_std = 3***).
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For each time step, if the **norm deviates by more than 3 standard deviations from the mean norm**, the calculated velocity is rejected (default parameter ***n_std = 3***).
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## 6. Dispersion of Perpendicular Velocities to the Transect ![filtres_dispCourant](uploads/c4ba9ab8c75889fc451e4386ff79b823/filtres_dispCourant.png)
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## 6. Angular Dispersion ![filtres_dispAng](uploads/1a669c57d0deddb66ae9ad17e72d422c/filtres_dispAng.png)
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| Parameter | Default Values | Description |
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| --------- | -------------- | ----------- |
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| **_CoVmax_** | 0.4 | Threshold for the coefficient of variation ($\frac{\sigma}{\mu}$) of the perpendicular velocity to the transect |
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The filter for dispersion of perpendicular velocities to the transect rejects points with excessive velocity dispersion (perpendicular component to the transect). This filter is more drastic than the previous ones, **it directly rejects all velocities at the point**.
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> :loudspeaker: _**Warning!**_
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>
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> This filter is dedicated to flow measurement applications. It **requires a bathymetric transect** to be provided.
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The perpendicular component to the transect is determined for each velocity at the point (after passing through the previous filters). The **coefficient of variation** of this component is then calculated (the ratio of standard deviation to mean).
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Points with a perpendicular velocity coefficient of variation greater than a **tolerance threshold of 0.4** are rejected (default parameter ***CoVmax = 0.4***).
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## 7. Angular Dispersion ![filtres_dispAng](uploads/1a669c57d0deddb66ae9ad17e72d422c/filtres_dispAng.png)
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| Parameter | Default Values | Description |
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| Parameter | Default Values | Description |
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| --------- | -------------- | ----------- |
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| --------- | -------------- | ----------- |
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