# ParallelPlane3D

The ParallelPlane3D function is used to construct a plane parallel to an input plane with the specified offset. It returns the constructed plane as a Plane3D structure.

## ParallelPlane3D Inputs

The ParallelPlane3D function has the following syntax:

ParallelPlane3D(PointCloud,Plane3D,ExternalPlane,Offset,Show)

See the table for a description of the available parameters.

Parameter | Description
PointCloud | Reference to a cell containing a point cloud. The default value is $A$0.
Plane3D | Specifies the offset and the angle of the plane to use. It is offset from the PointCloud origin in the following format with the following arguments: {X, Y, Z, Tilt, Tilt Direction}
X | Offset on the X-axis from the PointCloud origin.
Y | Offset on the Y-axis from the PointCloud origin.
Z | Offset on the Z-axis from the PointCloud origin.
Tilt | Specifies the tilt angle (in degrees) from the PointCloud Z-axis. The value range is 0 – 180. External references with values outside the allowed range will result in an error.
Tilt Direction | Specifies the direction of tilt (in degrees) from the rotated PointCloud X-axis, about the PointCloud Z-axis. The value range is -360 to 360. External references with values outside the allowed range will be normalized to the allowed range.
Note: This parameter is available only if External Plane is set to 0.
External Plane | Specifies a reference to a Rectangle3D or Circle3D structure defined in another cell to be used by the function. Set to 0 (OFF) to use the function's internal Plane3D structure instead.
Offset | Specifies the signed distance above or below the plane to position the parallel plane. The value range is -inf. to inf., and the default value is 1.
Show | Selects the type of graphics to overlay on the image.
0 = hide all (default) | All graphics are hidden, except when the cell containing the function is highlighted in the spreadsheet.
1 = result graphics only | The result graphics of the function are displayed at all times.
2 = input and result graphics | The region of interest, the input data and the results are displayed at all times.

## ParallelPlane3D Outputs

Returns | A Plane3D data structure containing the constructed 3D plane, or #ERR if any of the input parameters are invalid.
Results | When initially inserted into a cell, the following functions are automatically inserted into the spreadsheet to create a result table.
| X | Y | Z | Tilt | Tilt Direction
❒Plane3D | GetX(Plane3D) | GetY(Plane3D) | GetZ(Plane3D) | GetTilt(Plane3D) | GetTiltDirection(Plane3D)

## ParallelPlane3D Vision Data Access functions

The following Structures 3D Vision Data Access functions are automatically inserted into the spreadsheet to create the result table:

Function | Description
GetX(Plane3D) | Returns the X-axis coordinate of the 3D plane's center point.
GetY(Plane3D) | Returns the Y-axis coordinate of the 3D plane's center point.
GetZ(Plane3D) | Returns the Z-axis coordinate of the 3D plane's center point.
GetTiltDirection(Plane3D) | Returns the tilt direction angle of the specified Plane3D structure in degrees. The angle is measured in the X-Y plane of the original reference coordinate system, and specifies the direction for the projection of the tilted Z-axis onto that plane.
GetTilt(Plane3D) | Returns the tilt angle of the Plane3D structure in degrees on the Z-axis.