# PlaneFromPoints3D

The PlaneFromPoints3D function is used to construct a plane from 3 Point3D structures specified in the function's parameters. The constructed plane is returned in a Plane3D structure.

## PlaneFromPoints3D Inputs

The PlaneFromPoints3D function has the following syntax:

PlaneFromPoints3D(PointCloud,Point3D0,ExternalPoint0,Point3D1,ExternalPoint1,Point3D2,ExternalPoint2,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.
Point3D 0 | Specifies the offset of the first 3D point to use. It is offset from the PointCloud origin in the following format with the following arguments: {X, Y, Z}
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.
Note: This parameter is only available if External Point 0 is set to 0.
External Point 0 | Specifies a reference to a Point3D structure defined in another cell for the first 3D point to use in constructing the plane. Set to 0 (OFF) to use the function's internal Point3D structure.
Point3D 1 | Specifies the offset of the second 3D point to use. It is offset from the PointCloud origin in the following format with the following arguments: {X, Y, Z}
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.
Note: This parameter is only available if External Point 1 is set to 0.
External Point 1 | Specifies a reference to a Point3D structure defined in another cell for the second 3D point to use in constructing the plane. Set to 0 (OFF) to use the function's internal Point3D structure.
Point3D 2 | Specifies the offset of the third 3D point to use. It is offset from the PointCloud origin in the following format with the following arguments: {X, Y, Z}
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.
Note: This parameter is only available if External Point 2 is set to 0.
External Point 2 | Specifies a reference to a Point3D structure defined in another cell for the third 3D point to use in constructing the plane. Set to 0 (OFF) to use the function's internal Point3D structure.
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.

## PlaneFromPoints3D 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)

## PlaneFromPoints3D 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.