Precise multidimensional deconvolution using the polynomial algebra concept

Abstract

The paper presents a fast precise algorithm to solve the problem of deconvolution. The proposed algorithm is error-free. It does not introduce computational errors into the solution. Its derivation is based on polynomial algebra operations. The final form of the algorithm can in future easily be implemented in hardware.

Keywords:

• Rounding-off errors
• response matrix
• k-dimensional convolution system
• polynomial algebra
• algorithm of k-dimensional deconvolution