Generic Geometric Transformations

Perform generic geometric transformations using the imwarp workflow

Geometric transformations map pixel coordinates in the output image to coordinates in the input image. The mapping process then interpolates the value of output pixels from the input image.

Use these functions to perform general 2-D, 3-D, and N-D geometric transformations. To perform a 2-D or 3-D geometric transformation, first create a geometric transformation object that stores information about the transformation. Then, pass the image to be transformed and the geometric transformation object to the imwarp function.

Functions

expand all

Create 2-D and 3-D Geometric Transformations

`fitgeotform2d`	Fit 2-D geometric transformation to control point pairs (Since R2022b)
`affinetform2d`	2-D affine geometric transformation (Since R2022b)
`affinetform3d`	3-D affine geometric transformation (Since R2022b)
`rigidtform2d`	2-D rigid geometric transformation (Since R2022b)
`rigidtform3d`	3-D rigid geometric transformation (Since R2022b)
`simtform2d`	2-D similarity geometric transformation (Since R2022b)
`simtform3d`	3-D similarity geometric transformation (Since R2022b)
`transltform2d`	2-D translation geometric transformation (Since R2022b)
`transltform3d`	3-D translation geometric transformation (Since R2022b)
`projtform2d`	2-D projective geometric transformation (Since R2022b)
`geometricTransform2d`	2-D geometric transformation object
`geometricTransform3d`	3-D geometric transformation object
`PiecewiseLinearTransformation2D`	2-D piecewise linear geometric transformation
`PolynomialTransformation2D`	2-D polynomial geometric transformation
`LocalWeightedMeanTransformation2D`	2-D local weighted mean geometric transformation

Apply 2-D and 3-D Geometric Transformations

`imwarp`	Apply geometric transformation to image
`transformPointsForward`	Apply forward geometric transformation
`transformPointsInverse`	Apply inverse geometric transformation
`Warper`	Apply same geometric transformation to many images efficiently

Create and Apply N-D Spatial Transformations

`tformarray`	Apply spatial transformation to N-D array
`findbounds`	Find output bounds for spatial transformation
`fliptform`	Flip input and output roles of spatial transformation structure
`makeresampler`	Create resampling structure
`maketform`	Create N-D spatial transformation structure (`TFORM`)
`tformfwd`	Apply forward N-D spatial transformation
`tforminv`	Apply inverse N-D spatial transformation

Define Spatial Referencing Between Coordinate Systems

`imref2d`	Reference 2-D image to world coordinates
`imref3d`	Reference 3-D image to world coordinates
`affineOutputView`	Create output view for warping images (Since R2019b)

Topics

Geometric Transformation

2-D and 3-D Geometric Transformation Process Overview
To perform a general geometric transformation of a 2-D or 3-D image, first define the parameters of the transformation, then warp the image.
Matrix Representation of Geometric Transformations
Represent geometric transformations, such as translation, scaling, rotation, and reflection, using matrices whose elements represent parameters of the transformations.
Migrate Geometric Transformations to Premultiply Convention
Starting in R2022b, functions that create and perform geometric transformations were updated to use a premultiply matrix convention.
N-Dimensional Spatial Transformations
You can create custom geometric transformations to process images of arbitrary dimension, or to change the dimensionality of the output image from the input image.
Specify Fill Values in Geometric Transformation Output
Specify the color of blank space in the image after a geometric transformation.

Spatial Referencing

Image Coordinate Systems
Learn how image locations are expressed using discrete pixel indices and continuous spatial coordinates.
Define World Coordinate System of Image
Spatial referencing objects encode the relationship between the image extent in intrinsic coordinates, the image extent in world coordinates, and the image resolution.
Shift X- and Y-Coordinate Range of Displayed Image
This example shows how to specify a nondefault world coordinate system by changing the XData and YData properties of a displayed image.

Featured Examples

Create Composite 2-D Affine Transformations

Combine multiple affine geometric transformations using matrix multiplication.

Open Live Script

Create a Gallery of Transformed Images

Warp a test image using several built-in and custom geometric transformations, including affine, projective, polynomial, piecewise linear, sinusoidal, barrel, and pin-cushion transformations.

Open Live Script

Perform Simple 2-D Translation Transformation

Shift an image vertically and horizontally, and use spatial referencing information to display the original image and the translated image from the same perspective.

Open Live Script