Find Norm¶
Group (Subgroup)¶
DREAM3D Review (Statistics)
Description¶
This Filter computes the pth norm of an Attribute Array. Specifically, for each tuple of the array, the following is computed:
\f[ \left| \mathbf{x} \right| p := \bigg( \sum{i=1}^n \left| x_i \right| ^p \bigg) ^{1/p} \f]
where \f$ n \f$ is the number of components for the Attribute Array. When \f$ p = 2 \f$, this results in the Euclidean norm; when \f$ p = 1 \f$, this results in the Manhattan norm (also called the taxicab norm). The p-space value may be any real number greater than or equal to zero. When \f$ 0 \leq p < 1 \f$, the result may not strictly be a norm in the exact sense. Additionally, when \f$ p = 0 \f$, the result is simply the number of components for the Attribute Array.
Note: If the input array is a scalar array, the output array will contain the same values as the input array, but in 32-bit floating point precision.
Parameters¶
| Name | Type | Description |
|---|---|---|
| p-Space Value | float | p-Value used for computing the norm |
Required Geometry¶
Any
Required Objects¶
| Kind | Default Name | Type | Component Dimensions | Description |
|---|---|---|---|---|
| Any Attribute Array | None | Any | Any | Input Attribute Array for computing the norm |
Created Objects¶
| Kind | Default Name | Type | Component Dimensions | Description |
|---|---|---|---|---|
| Attribute Array | Norm | float | (1) | Norm of the input Attribute Array |
Example Pipelines¶
License & Copyright¶
Please see the description file distributed with this plugin.
DREAM3D Mailing Lists¶
If you need more help with a filter, please consider asking your question on the DREAM3D Users mailing list: https://groups.google.com/forum/?hl=en#!forum/dream3d-users