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Image_Processing_Tool_2 >> Image_Processing_Tool_2 > radon

radon

Radon Transform

Calling Sequence

R = radon(I, theta)
[R,xp] = radon(I, theta)

Arguments

R

The transformed radon value for the intensity image I having the real value. It may be a column vector or a matrix.

I

A input matrix having real/integer values. It may be the intensity value of an image.

theta

It is a angle value. It defaults to 0:179. Theta may be a column or it may be a vector.

xp

xp is a vector containing the radial coordinates corresponding to each row of R.

Description

The radon transform in two dimensions is the integral transform consisting of the integral of a function over straight lines. Radon transform is also known as Penrose transform. The radon transform of an image is the sum of the Radon transforms of each individual pixel. If a function f represents an unknown density, then the radon transform represents the scattering data obtained as the output of a tomographic scan.

Examples

I = [3 1 10 5; 5 9 4 2; 9 12 6 21];
theta = 45;
[R,xp] = radon(I,theta);

<p class="para">The radon transform is widely applicable in tomography, the creation of an image from the scattering data associated with cross-sectional scans of an object. Hence the inverse of the radon transform can be used to reconstruct the original density from the scattering data and thus the image is reconstructed again.</p>

See Also

Authors

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