Conditional Expressions for Blind Deconvolution: Derivative form

TL;DR

This paper introduces new conditional expressions based on derivatives of zero-values of the z-transform to automatically detect multiple blurs in images without analyzing zero-sheets.

Contribution

The paper presents a novel method using derivative-based conditional expressions for blind deconvolution that simplifies multiple blur detection in images.

Findings

Effective detection of multiple blurs in model images

Automatic identification of convolutional blurs without zero-sheet analysis

Potential for improved blind deconvolution techniques

Abstract

We developed novel conditional expressions (CEs) for Lane and Bates' blind deconvolution. The CEs are given in term of the derivatives of the zero-values of the z-transform of given images. The CEs make it possible to automatically detect multiple blur convolved in the given images all at once without performing any analysis of the zero-sheets of the given images. We illustrate the multiple blur-detection by the CEs for a model image