Indian Journal of Industrial and Applied Mathematics
  • Year: 2015
  • Volume: 6
  • Issue: 2

Interaction of Vector-ValuedWavelet and Vector Field Tomography

1Assistant Professor, Department of Electronics and Communication, Sharda University, Greater Noida, India

2Professor, Department of Basic Sciences and Research, Sharda University, Greater Noida, India

*(Corresponding Author) E-mail Id: noore.zahra@sharda.ac.in

**siddiqi.abulhasan@gmail.com

Abstract

Computerised tomography is the process of determination of scalar quantities from integral information along lines. By now it is a vast interdisciplinary field having significant applications in medical and earth sciences. The work of Hounsfield and Cormak in this area fetched a Noble prize in 1979. The concept of vector field tomography was introduced by Norton in 1988 that deals with the determination of vector fields from integral information. In a series of papers the role of wavelet analysis has been examined. In this article interaction of vector field tomography and vector-valued wavelets is studied.

Keywords

Computed tomography, Radon transform, Wavelet transform, Vector-valued function, Medical imaging, Reconstruction, Integral transform