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Determine if transformation is pure translation


TF = isTranslation(tform)



TF = isTranslation(tform) determines whether or not the affine transformation specified by tform is a pure translation.


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Create an affine2d object that defines a pure translation.

A = [ 1  0  0
      0  1  0
     40 40  1 ];

tform = affine2d(A)
tform = 

  affine2d with properties:

                 T: [3x3 double]
    Dimensionality: 2

Check if the transformation is a pure translation.

tf = isTranslation(tform)
tf =


Create an affine3d object that defines a different scale factor in each dimension.

Sx = 1.2;
Sy = 1.6;
Sz = 2.4;
tform = affine3d([Sx 0 0 0; 0 Sy 0 0; 0 0 Sz 0; 0 0 0 1]);
tf = 

  affine3d with properties:

                 T: [4x4 double]
    Dimensionality: 3

Check if the transformation is a pure translation. Since tform scales the object,

tf = isTranslation(tform)
tf =


As expected, the transformation is not a pure translation since scaling changes the size and shape of an input volume.

Input Arguments

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Geometric transformation, specified as an affine2d or affine3d geometric transformation object.

Output Arguments

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Flag indicating pure translation transformation, returned as a logical scalar. TF is True when tform represents a pure translation.

Data Types: logical

More About

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Translation Transformation

A translation transformation shifts an image without modifying the image size, shape, or orientation. A 2-D translation is represented by a matrix T of the form:

 [1 0 0;
  0 1 0;
  e f 1];

A 3-D translation is represented by a matrix of the form:

 [1 0 0 0;
  0 1 0 0;
  0 0 1 0;
  j k l 1];

Introduced in R2013a