# Class PixelTranslation

Object
Static
PixelTranslation

All Implemented Interfaces:
  `Serializable`

public final class PixelTranslation extends Static implements Serializable
The translation to apply for different values of `PixelOrientation` or `PixelInCell`. The translation are returned by a call to one of the following static methods:

- `getPixelTranslation(PixelOrientation)` for the two-dimensional case.
- `getPixelTranslation(PixelInCell)` for the n-dimensional case.

This class provides also a few `translate(…)` convenience methods, which apply the translation on a given `MathTransform` instance.

## Example

In the following code snippet, `gridToCRS` is an `AffineTransform` from grid cell coordinates (typically pixel coordinates) to some arbitrary CRS coordinates. In this example, the transform maps pixels center, while the upper left corner is desired. This code will switch the affine transform from the pixel center to upper left corner convention:

        public AffineTransform getGridToPixelCorner() {
            AffineTransform  gridToCRS = ...;
            PixelOrientation current   = PixelOrientation.CENTER;
            PixelOrientation desired   = PixelOrientation.UPPER_LEFT;

            // Switch the transform from 'current' to 'desired' convention.
            PixelTranslation source = getPixelTranslation(current);
            PixelTranslation target = getPixelTranslation(desired);
            return gridToCRS.translate(target.dx - source.dx,
                                       target.dy - source.dy);
        }

Since:
  1.0
See Also:
  - `PixelInCell`
  - `PixelOrientation`
  - Serialized Form

- ## Field Summary

  Fields
  Modifier and Type
  Field
  Description
  `final double`
  `dx`
  The translation among the x axis relative to pixel center.
  `final double`
  `dy`
  The translation among the y axis relative to pixel center.
  `final PixelOrientation`
  `orientation`
  The pixel orientation for this translation.

- ## Method Summary

  Modifier and Type
  Method
  Description
  `static PixelOrientation`
  `getPixelOrientation(PixelInCell anchor)`
  Returns the pixel orientation which is equivalent to the given `PixelInCell` code.
  `static double`
  `getPixelTranslation(PixelInCell anchor)`
  Returns the position relative to the cell center.
  `static PixelTranslation`
  `getPixelTranslation(PixelOrientation anchor)`
  Returns the specified position relative to the pixel center.
  `String`
  `toString()`
  Returns a string representation of this pixel translation.
  `static MathTransform`
  `translate(MathTransform gridToCRS, PixelInCell current, PixelInCell desired)`
  Converts a math transform from a "pixel in cell" convention to another "pixel in cell" convention.
  `static MathTransform`
  `translate(MathTransform gridToCRS, PixelOrientation current, PixelOrientation desired, int xDimension, int yDimension)`
  Converts a math transform from a "pixel orientation" convention to another "pixel orientation" convention.

  ### Methods inherited from class Object

  `clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait`

- ## Field Details

  - ### orientation

    public final PixelOrientation orientation
    The pixel orientation for this translation. Most common values are `PixelOrientation​.UPPER_LEFT` and `PixelOrientation​.CENTER`.

  - ### dx

    public final double dx
    The translation among the x axis relative to pixel center. The value is typically −½, 0 or +½.

  - ### dy

    public final double dy
    The translation among the y axis relative to pixel center. The value is typically −½, 0 or +½.

- ## Method Details

  - ### getPixelOrientation

    public static PixelOrientation getPixelOrientation(PixelInCell anchor)
    Returns the pixel orientation which is equivalent to the given `PixelInCell` code. This equivalence can be used for converting n-dimensional parameters to the more specific two-dimensional case. This method implements the following mapping:

    Pixel orientation equivalences
    Pixel in cell | Pixel orientation
    --- | ---
    `CELL_CENTER` | `CENTER`
    `CELL_CORNER` | `UPPER_LEFT`
    `null` | `null`

    Parameters:
      `anchor` - the `PixelInCell` code, or `null`.
    Returns:
      the corresponding pixel orientation, or `null` if the argument was null.

  - ### getPixelTranslation

    public static double getPixelTranslation(PixelInCell anchor)
    Returns the position relative to the cell center. This method is typically used for n-dimensional grids, where the number of dimension is unknown. The translation is determined from the following table, with the same value applied to all dimensions:

    Translations
    Pixel in cell | offset
    --- | ---
    `CELL_CENTER` | `0.0`
    `CELL_CORNER` | `-0.5`

    Parameters:
      `anchor` - the "pixel in cell" value.
    Returns:
      the translation for the given "pixel in cell" value.

  - ### getPixelTranslation

    public static PixelTranslation getPixelTranslation(PixelOrientation anchor)
    Returns the specified position relative to the pixel center. This method can be used for grid restricted to 2 dimensions. The translation vector is determined from the following table:

    Translations
    Pixel orientation | dx | dy
    --- | --- | ---
    `CENTER` | `0.0` | `0.0`
    `UPPER_LEFT` | `-0.5` | `-0.5`
    `UPPER_RIGHT` | `+0.5` | `-0.5`
    `LOWER_LEFT` | `-0.5` | `+0.5`
    `LOWER_RIGHT` | `+0.5` | `+0.5`

    Parameters:
      `anchor` - the pixel orientation.
    Returns:
      the position relative to the pixel center.
    Throws:
      `IllegalArgumentException` - if the given `anchor` is not a known code list value.

  - ### translate

    public static MathTransform translate(MathTransform gridToCRS, PixelInCell current, PixelInCell desired)
    Converts a math transform from a "pixel in cell" convention to another "pixel in cell" convention. This method concatenates −½, 0 or +½ translations on all dimensions before the given transform. If the two given conventions are the same, then this method returns the given transform unchanged.

    If the given `gridToCRS` is null, then this method ignores all other arguments and returns `null`. Otherwise `current` and `desired` arguments must be non-null.

    #### Example

    If a given `gridToCRS` transform was mapping the cell corner to "real world" coordinates, then a call to `translate(gridToCRS, `CELL_CORNER`, `CELL_CENTER`)` will return a new transform performing the following steps: first convert grid coordinates from cell center convention (`desired`) to cell corner convention (`current`), then concatenate the given `gridToCRS` transform which was designed for the cell corner convention. The above-cited cell center → cell corner conversion is done by translating the grid coordinates by +½, because the grid coordinates (0,0) relative to cell center is (½,½) relative to cell corner.
    Parameters:
      `gridToCRS` - a math transform from pixel coordinates to any CRS, or `null`.
      `current` - the pixel in cell convention of the given `gridToCRS` transform.
      `desired` - the pixel in cell convention of the desired transform.
    Returns:
      the "grid to CRS" transform using the new convention, or `null` if `gridToCRS` was null.
    Throws:
      `IllegalArgumentException` - if `current` or `desired` is not a known code list value.

  - ### translate

    public static MathTransform translate(MathTransform gridToCRS, PixelOrientation current, PixelOrientation desired, int xDimension, int yDimension)
    Converts a math transform from a "pixel orientation" convention to another "pixel orientation" convention. This method concatenates −½, 0 or +½ translations on two dimensions before the given transform. The given transform can have any number of input and output dimensions, but only two of them will be converted.

    If the given `gridToCRS` is null, then this method ignores all other arguments and returns `null`. Otherwise `current` and `desired` arguments must be non-null.

    #### Example

    If a given `gridToCRS` transform was mapping the upper-left corner to "real world" coordinates, then a call to `translate(gridToCRS, `UPPER_LEFT`, `CENTER`, 0, 1)` will return a new transform translating grid coordinates by +0.5 before to apply the given `gridToCRS` transform. See example in above `translate` method for more details.
    Parameters:
      `gridToCRS` - a math transform from pixel coordinates to any CRS, or `null`.
      `current` - the pixel orientation of the given `gridToCRS` transform.
      `desired` - the pixel orientation of the desired transform.
      `xDimension` - the dimension of x coordinates (pixel columns). Often 0.
      `yDimension` - the dimension of y coordinates (pixel rows). Often 1.
    Returns:
      the "grid to CRS" transform using the new convention, or `null` if `gridToCRS` was null.
    Throws:
      `IllegalArgumentException` - if `current` or `desired` is not a known code list value.

  - ### toString

    public String toString()
    Returns a string representation of this pixel translation.
    Overrides:
      `toString` in class `Object`