BUILT-IN MATHEMATICA SYMBOL

ImageTransformation

ImageTransformation[image, function]
gives an image in which each pixel at position corresponds to the position in image.

ImageTransformation[image, function, size]
gives an image of the specified size.

Details and Options Details and Options

The bottom-left corner of the image corresponds to coordinates by default. Other coordinate systems can be specified by setting the PlotRange and DataRange options.
ImageTransformation can take the following options:

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

The range of the coordinate system for the input image is assumed to be , where a is the aspect ratio. Other coordinate systems can be specified by setting the DataRange option.
Typical settings for DataRange include:
Automatic range , where a is the aspect ratio

{{left,right},{bottom,top}} explicit coordinate ranges

Full true pixel range
The coordinate system of the resulting image is specified by the PlotRange option, which takes the same settings as DataRange.
With the default setting PlotRange->Automatic, PlotRange is taken to be equal to DataRange.
PlotRange->All tries to find a plot range that includes the images of all pixels in the input image.
In ImageTransformation[image, function], the pixel dimensions of the resulting image are based on the dimensions of image and the ratio of PlotRange and DataRange.
For possible size specifications, see the reference page for ImageResize.