Radon Transform

What is Radon Transform

In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line. The transform was introduced in 1917 by Johann Radon, who also provided a formula for the inverse transform. Radon further included formulas for the transform in three dimensions, in which the integral is taken over planes. It was later generalized to higher-dimensional Euclidean spaces and more broadly in the context of integral geometry. The complex analogue of the Radon transform is known as the Penrose transform. The Radon transform is widely applicable to tomography, the creation of an image from the projection data associated with cross-sectional scans of an object.

How you will benefit

(I) Insights, and validations about the following topics:

Chapter 1: Radon transform

Chapter 2: Fourier transform

Chapter 3: Bessel function

Chapter 4: Convolution theorem

Chapter 5: Discrete Fourier transform

Chapter 6: Fourier series

Chapter 7: Integration by parts

Chapter 8: Fractional Fourier transform

Chapter 9: Mellin transform

Chapter 10: Poisson kernel

(II) Answering the public top questions about radon transform.

(III) Real world examples for the usage of radon transform in many fields.

Who this book is for

Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Radon Transform.