Rigid motion linking two objects

This group project was done during the first semester of my Master 2 in Grenoble. The title is : Rigid Motion Linking Two Objects. The project is about finding the movement linking two rigid bodies : given two sets of points, we ask the question what are the rotation and translation that would align the two objects. The principal algorithm we studied was the Iterative Closest Point. Report

Digital Analysis of Fingerprint

This group project was done during the second semester of my first Master’s year in Grenoble. The title is : Digital analysis of Fingerprint. The subject was image manipulation and fingerprint detection. During the project, we got familiar with an Image manipulation library (OpenCV) at first, then we mathematically modelled and implemented methods to simulate irregularities that can occur during the fingerprint acquisition process. Lastly, we applied an algorithm that finds the best parameters to modify a fingerprint to match another fingerprint.

Preventive Maintenance

This project was conducted during my Master’s final year in Algiers. The full title of the project is: Optimization of the Maintenance Strategy of a System subject to a Stochastic Degradation. It was done in collaboration with my comrade Zaoui Riyadh; its aim is to use stochastic methods to come up with an optimal plan for preventive maintenance, to minimize both risk of failures and operating costs. It consists of a theoretical study and computer simulation done at the École Nationale Supérieure de Technologie (ENST) in Algiers.

Cuckoo metaheuristic

This is a group project done for the metaheuristic unit during the second semester of my master’s program in Operations Research, in Algiers. The full title is: The Cuckoo Search metaheuristic and its application to the Travelling Salesman Problem (TSP). The subject was inspired by X-S. Yang and S. Deb’s work and we adapted the method to the TSP problem. The group was composed of four students, including me; I was mainly involved with the LaTeX work, the part about the Levy Flights (research + programming) and the numerical results (tested on my computer).

Hungarian method

This is a project I did during my Operations Research Master’s in Algiers, as part of the Combinatorial Optimization course. I implemented the Hungarian method in C and tested it for small assignment problems. Report | Source code

Runge Kutta methods

This project was done as a final year project for my bachelor’s degree in Mathematics. It was a group project done with my comrade Kaoune Amel. The subject is about the Runge-Kutta methods which were programmed in C and Scilab. Bachelor’s thesis | Source code