Image processing algorithms for compensation of spatially variant blur

This report addresses the problem of software correction of spatially variant blur in digital images. The problem arises when the camera optics contains flaws, when the scene contains multiple moving objects with different relative motion or the camera itself is i.e. rotated. Compensation through deconvolving is impossible due to the shift-variance in the PSF hence alternative methods are required. There are a number of suggested methods published. This report evaluates two methods

Contents

1 Introduction
1.1 Document structure
2 Problem description
2.1 Blurring
2.2 Imaging model and restoration
2.3 Noise
2.4 Optical aberrations
2.5 Goal of this report
2.6 Difficulties
3 Methods
3.1 Choice of methods
3.2 Landweber method
3.3 Interpolation method
3.4 Performance
3.4.1 Landweber method
3.4.2 Interpolation method
3.5 Limitations
4 Evaluation
4.1 Test images
4.2 Generation of synthetic blurs
4.3 Evaluation methods
5 Results
5.1 Visual Comparison
5.1.1 Shift-invariant PSF
5.1.2 Shift-variant PSF
5.2 Varying blur size
5.3 Varying noise
5.4 Varying PSF estimate
5.5 Varying number of PSF estimates
5.6 Coma
6 Discussion
6.1 Summary of results
6.2 Further research
6.3 Fulfillment of goals

Author: Andersson, Mathias

Source: Linköping University

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