isRigid

Determine if geometric transformation is rigid transformation

Syntax

TF = isRigid(tform)

Description

TF = isRigid(tform) determines whether or not the affine transformation specified by tform is a rigid transformation. A rigid transformation includes only rotation and translation. It does not include reflection, and it does not modify the size or shape of an input object.

Examples

Check If 2-D Transformation Is Rigid

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

Test if it is a rigid transformation.

tf = isRigid(tform)

tf =

     1

Check If 3-D Transformation Is Rigid

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])

tform = 

  affine3d with properties:

                 T: [4x4 double]
    Dimensionality: 3

Check if the transformation is rigid.

TF = isRigid(tform)

TF =

     0

Input Arguments

tform — Geometric transformation

affine2d object | affine3d object

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

Output Arguments

TF — Geometric transformation is rigid

true | false

Geometric transformation is a rigid transformation, returned as true or false.

Data Types: logical

Version History

Introduced in R2013a