An evaluation of Radon transform computations using DSP chips

Abstract

The Radon transform and its inverse (a filtered backprojection) are receiving increasing attention for applications in image reconstruction. As data collection capabilities and image reconstruction algorithms have become more sophisticated, the computational intensity of these problems has drastically increased. Parallel processing techniques are being used to implement highspeed hardware designs that will speed up this computationally burdensome task. Parallel arrays of digital signal processing (DSP) chips may be used to compute the Radon transform and back-projection for high-speed image reconstruction. In this paper we describe computation of the Radon transform and back-projection using a parallel pipelined processor architecture of DSP chips and evaluate the accuracy of the computations and quality of reconstructed images. To justify the computational approach selected, alternative procedures for computation of the Radon transform and back-projection are described and their performance using the 32-bit fixed-point arithmetic of the selected DSP chips are compared. We present, evaluate, and compare the simulated performances of implementations of these procedures on two fixed-point DSP chips: the TI TMS32020 and the AT&T DSP16.