Image reconstruction from an efficient number of moment-based projections

Abstract

This paper presents a new technique for computed tomography that is based on moment reconstruction. The proposed technique employs the Fourier and Haar coefficients for spectral and spatial moment-based image analyses, respectively. It provides a new approach to the problem of tomographic image reconstruction, where an X-ray image is obtained from a set of line projections. The experimental evaluation includes reconstructions of standard tomographic images in the presence of blur, caused by uniform linear motions. The results lead to the conclusion that the proposed method is more selective, efficient and robust. Another issue considered is the noise associated with normal transmission.

Keywords:

• image tomography
• image reconstruction
• noise robustness
• spatial/frequency domains

2010 AMS Subject Classifications:

• 68U10
• 68U05
• 68W25