Mathematica 9 is now available

THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

DOCUMENTATION CENTER SEARCH

New to Mathematica? Find your learning path »

Mathematica > Data Manipulation > Image Processing & Analysis > Image Geometry > ImageForwardTransformation >

BUILT-IN MATHEMATICA SYMBOL

See Also »|More About »

ImageForwardTransformation

ImageForwardTransformation

gives an image in which each pixel at position

corresponds to the position

in image.

ImageForwardTransformation

gives an image of the specified size.

MORE INFORMATION

ImageForwardTransformation gives an image of the same size as the original.

The pixel positions in the original image are assumed to run from 0 to 1 in the horizontal direction and from 0 to the aspect ratio in the vertical direction.

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

ImageForwardTransformation can take the following options:

	AspectRatio	Automatic	aspect ratio of the output image
	Background	Black	background value
	DataRange	Automatic	assumed range of and values in the original image
	PlotRange	Automatic	range of coordinates to be included in the result of the transformation

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 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.

With an option setting False, pixels that are not reached by the forward transformation are set to the background color.

Basic Examples (1)

Applying a forward transformation on a color image:

Applying a forward transformation on a color image:

Out[1]=

Use a geometric transform function:

Applying a power of 2 function on the

coordinate:

Specifying the full data range determines the coordinate range of the function:

Adjust the plot range to include all image pixels:

Direct transformation of points with no interpolation:

Include all transformed image pixels:

Set the plot range to adjust the cropping of the output image:

Applications (1)

Translating a square image by one-tenth of the entire image in each direction:

Neat Examples (4)

Fisheye effect:

Melting effect:

Mirror facets effect:

Smudge effect:

ImageTransformation ImagePerspectiveTransformation ImageResize ImageRotate ImageAlign

Image Geometry

New in 8.0: Alphabetical Listing

New in 8

Ask a question about this page | Suggest an improvement | Leave a message for the team

Format: HTML | CDF