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ImagePerspectiveTransformation

ImagePerspectiveTransformation

applies a linear fractional transform specified by a matrix m to the positions of each pixel in image.

ImagePerspectiveTransformation

gives an image of the specified size.

MORE INFORMATION

For a 2×2 matrix m, ImagePerspectiveTransformation applies AffineTransform[m] to image.

ImagePerspectiveTransformation applies AffineTransform to image.

For a 3×3 matrix m, ImagePerspectiveTransformation applies LinearFractionalTransform[m] to image.

In ImagePerspectiveTransformation, where a is a 2×2 matrix, b and c are vectors of length 2, and d is a scalar, a LinearFractionalTransform is applied to image.

ImagePerspectiveTransformation also works with TransformationFunction objects.

ImagePerspectiveTransformation can take the following options:

	AspectRatio	Automatic	aspect ratio of the output image
	DataRange	Automatic	range of coordinates in the original image
	PlotRange	Automatic	range of coordinates in the resulting image
	Padding	Black	padding method
	Resampling	Automatic	resampling method

DataRange->Full and PlotRange->Full assume the range .

DataRange->Automatic is equivalent to a setting of , where represents the aspect ratio of the original image.

PlotRange->All tries to include all of the target pixels.

PlotRange->Automatic takes PlotRange to be equal to DataRange.

When PlotRange is not Automatic, size is chosen based on the size of the original image and the ratio of PlotRange and DataRange.

For possible size specifications, see the reference page for ImageResize.

Basic Examples (1)

Transform an image using a perspective transformation:

Transform an image using a perspective transformation:

Click for copyable input

Out[1]=

Specify the size of the resulting image:

Use a geometric transformation matrix:

Set the input range of the function to be the actual pixel coordinates:

Use a fixed padding while rotating the image:

Use reflected padding:

Use the PlotRange option to show all the transformed pixels from the original image:

Use different resampling methods:

Applications (3)

Remove the perspective distortion of the road:

Enhance the perspective effect:

Segment out the building in an image:

Shear the image to straighten up the building:

Possible Issues (1)

When the function maps some coordinates to infinity, truncated output is displayed:

TransformationFunction FindGeometricTransform ImageForwardTransformation ImageTransformation AffineTransform

Image Geometry

Image Processing & Analysis

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