3DAffiner
Performs a 3D affine transformation (such as offset, rotate, or scale) on the coordinates of the feature.
Typical Uses
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Moving, scaling, and rotating 3D geometry.
How does it work?
A 3D affine transformation is a mathematical method of modifying geometry that:
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Preserves lines and collinearity: all points on a straight line or plane are still on a straight line or plane after transformation.
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Preserves parallelism: lines and planes that are initially parallel are still parallel after transformation.
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May not preserve angles, lengths, or areas, depending on the type of transformation performed.
Scaling, mirroring, rotating, shearing, and translating (relocating or offsetting) are all affine transformations. They can be performed singly or in combination.
The 3DAffiner performs 3D transformations, using this formula:
x' = Ax + By + Cz + D
y' = Ex + Fy + Gz + H
z' = Ix + Jy + Kz + L
Where (x,y,z) are the input coordinates and (x',y',z') are the transformed output coordinates.
|
Description |
Formula/Coefficients |
Example |
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Original 3D Object |
This 3D building model is centered at the origin (0,0,0) and its units are meters. It is not georeferenced. |
|
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Translate |
Move the geometry a fixed distance. |
x' = 1x + 0y + 0z + D Simplified: x' = x + D D = X offset H = Y offset L = Z offset |
Move object 22 meters along all axes: x' = 1x + 0y + 0z + 22 y' = 0x + 1y + 0z + 22 z' = 0x + 0y + 1z + 22
|
Scale |
Shrink or enlarge the geometry. |
x' = Ax + 0y + 0z + 0 Simplified: x' = Ax A = X scale factor F = Y scale factor K = Z scale factor |
Enlarge object by a scale factor of 1.5: x' = 1.5x + 0y + 0z + 0 y' = 0x + 1.5y + 0z + 0 z' = 0x + 0y + 1.5z + 0
|
Rotate about X |
Rotate the geometry around the X axis. |
x' = 1x + 0y + 0z + 0 Simplified: x' = x ϴ = Angle in degrees F = cos(ϴ) G = −sin(ϴ) (Note negative value) J = sin(ϴ) K = cos(ϴ) |
Rotate object by 45 degrees around the X axis: x' = 1x + 0y + 0z + 0 y' = 0x + 0.70711y + −0.70711z + 0 z' = 0x + 0.70711y + 0.70711z + 0
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Rotate about Y |
Rotate the geometry around the Y axis. |
x' = cos(ϴ)x + 0y + sin(ϴ)z + 0 Simplified: x' = cos(ϴ)x + sin(ϴ)z ϴ = Angle in degrees A = cos(ϴ) C = sin(ϴ) I = −sin(ϴ) (Note negative value) K = cos(ϴ) |
Rotate object by 45 degrees around the Y axis: x' = 0.70711x + 0y + 0.70711z + 0 y' = 0x + 1y + 0z + 0 z' = -0.70711x + 0y + 0.70711z + 0
|
Rotate about Z |
Rotate the geometry around the Z axis. |
x' = cos(ϴ)x + −sin(ϴ)y + 0z + 0 Simplified: x' = cos(ϴ)x − sin(ϴ)z ϴ = Angle in degrees A = cos(ϴ) B = −sin(ϴ) (Note negative value) E = sin(ϴ) F = cos(ϴ) |
Rotate object by 45 degrees around the Z axis: x' = 0.70711x + −0.70711y + 0z + 0 y' = 0.70711x + 0.70711y + 0z + 0 z' = 0x + 0y + 1z + 0
|
Usage Notes
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To perform affine transformations in place on geographic features, consider temporary reprojection (Reprojector) to a local coordinate system or using the CommonLocalReprojector.
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The Scaler performs 2D and 3D scaling affine transformations, with additional options for specific geometry types and origin handling.
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The Offsetter performs 2D and 3D translation affine transformations, with additional coordinate space options (polar and spherical coordinates, in addition to cartesian).
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The Rotator and 3DRotator perform rotation affine transformations, with a simplified interface for rotation value, origin (2D) and axis choice (3D).
Configuration
Input Ports
Output Ports
Parameters
Editing Transformer Parameters
Using a set of menu options, transformer parameters can be assigned by referencing other elements in the workspace. More advanced functions, such as an advanced editor and an arithmetic editor, are also available in some transformers. To access a menu of these options, click beside the applicable parameter. For more information, see Transformer Parameter Menu Options.
Defining Values
There are several ways to define a value for use in a Transformer. The simplest is to simply type in a value or string, which can include functions of various types such as attribute references, math and string functions, and workspace parameters. There are a number of tools and shortcuts that can assist in constructing values, generally available from the drop-down context menu adjacent to the value field.
Dialog Options - Tables
Transformers with table-style parameters have additional tools for populating and manipulating values.
Reference
Processing Behavior |
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Feature Holding |
No |
Dependencies | None |
Aliases | |
History |
FME Community
The FME Community is the place for demos, how-tos, articles, FAQs, and more. Get answers to your questions, learn from other users, and suggest, vote, and comment on new features.
Search for all results about the 3DAffiner on the FME Community.
Examples may contain information licensed under the Open Government Licence – Vancouver and/or the Open Government Licence – Canada.
3D building model by Berlin Partner für Wirtschaft und Technologie GmbH.