Question

Consider an image that has been affected by motion blur, simulating a photograph taken with a mobile camera. Motion blur is a common artifact in images captured by moving cameras or objects within the scene during exposure. In this scenario, assume the axis of movement is known and can be modeled by a proper motion filter.

Task: Propose a method to remove the motion blur effect from the image

Hint: Consider "inverting" the effect of the motion filter to restore the original image. Fourier Transformation and inverse matrixes should be used.

Requirements: Write a report explaining your method, including pseudo$-$code and$/$or mathematical formulation. Develop MATLAB code that creates a motion effect on an image and then applies a filter to attempt to recover the original image as closely as possible. Provide both your code and sample input$/$output images in the report.

Note: Ensure your method is well$-$documented and your code is appropriately commented for clarity.

Report Structure:

Introduction

Brief explanation of motion blur and its impact on images. $2.$

Methodology

Description of the proposed method to remove motion blur.

Explanation of the chosen approach $($inverting the effect of the motion filter$).$

Pseudo$-$code or mathematical formulation of the method.

Implementation

Overview of the implementation details.

Explanation of the developed code.

Description of the algorithm steps.

Sample input$/$output images. $4.$ Results

Evaluation of the method's effectiveness.

Comparison between the original and restored images.

Discussion on the limitations and potential improvements. $5.$ References

List of resources consulted during the study.