Dear potential client,
Having read and understood your work brief, the following are the reasons why I believe I'm the best fit for the job. Firstly, I'm a senior MATLAB developer with 15+ experience. Kindly see my profile and portfolio for more information about my experience & skillset, and examples of my previous work, respectively, accessible via:
https://www.freelancer.com/u/Stantheguy
Secondly, I have recently worked on a project titled "Video stabilization" in which sensor data (IMU), from the video recording apparatus, is used to stabilize a very unstable video clip. In that project, many of the steps you've listed here were employed there as well.
Thirdly, I'm quite experienced in implementing algorithms, especially from peer-reviewed papers. So, implementing the required algorithm for the project is not a non-issue. In addition, I have expertise in curve fitting and regression. This means fitting regression curves to your data and calculating the error performance shouldn't be an issue as well.
So, I look forward to hearing from soon.
Warm regards,
Stanley