ABSTRACT
This chapter discusses the definitions and properties of the Radon transform. It also discusses the radon transform of a convolution, the Fourier slice theorem, and the parseval and plancherel equalities. Consistency and moment conditions are reviewed for integrals over a domain. The Radon transform of spherically symmetric functions are discussed and the Radon transform of functions or distributions which can grow at infinity are reviewed. The chapter illustrates the inversion in two- and three-dimensional spaces, reviews Radon’s original inversion formula, and discusses Inversion via the spherical harmonics series. Singular value decomposition of the Radon transform, and attenuated and exponential Radon transforms are also discussed with examples.
