... | ... | @@ -54,7 +54,7 @@ The steps of the median test are as follows: |
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> It is possible that the median test will reject many vectors in the case of a **complex velocity field with large spatial gradients**. In this case, the ***epsilon*** parameter can be adjusted (e.g., 0.2 or 0.3).
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> - For complex velocity fields, it is recommended to use a dense grid to limit spatial gradients.
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<details><summary><b> :mag_right: Deep Dive :tools: </b></summary>
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<details><summary><b> :mag_right: In-depth explanations :tools: </b></summary>
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The nearest neighbors are identified using a KD-Tree [(Bentley, 1975)](Manuel-utilisateur/Références-bibliographiques). The number of neighbors and the maximum distance to neighbors can be set as parameters.
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... | ... | @@ -140,7 +140,7 @@ The ratio between the peak width and the velocity vector norm is calculated. The |
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> A tolerance threshold of ***rhomax = 0.5*** means that the peak width should not exceed half (50%) of the calculated velocity norm.
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<details><summary><b> :mag_right: Deep Dive :tools: </b></summary>
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<details><summary><b> :mag_right: In-depth explanations :tools: </b></summary>
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This filter analyzes the distribution of correlations around the peak.
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... | ... | @@ -209,7 +209,7 @@ All velocities at the point (after passing through the previous filters) are use |
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Points with a circular variance greater than a **tolerance threshold of 0.25** are rejected (default parameter ***circvarmax = 0.25***).
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<details><summary><b> :mag_right: Deep Dive :tools: </b></summary>
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<details><summary><b> :mag_right: In-depth explanations :tools: </b></summary>
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The circular variance $circvar$ for a sample of $n$ observed angles $x_0, x_1,..., x_n$ is expressed as:
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