This was an effort to recreate Jean-Pierre Luminet's famous 1979 paper in matlab. The paper uses spherical trigonometry, general simplifications to relativity, and elliptic integrals in order to create the lensing of an accretion disk around a black hole. The circle in the middle represents the center of the black hole and the amount of red represents the apparent luminosity. Red shifting and stipplism are in the works but not ready to present.

In my orbital mechanics class I was tasked with creating a propagation tool in matlab in order to evaluate the effectiveness of a given satellite constellation. A database of over 42,000 cities was given and line of sight was calculated for each satellite at each time step. I was able to exploit symmetries in the true anomaly in order to significantly speed up code execution time. 

I made a matlab script to create a transfer function to characterize a person's color sensitivity. The person takes a color perception test and the data automatically gets compiled to create a transfer function to create said person's color profile. The function could then be applied to an image to show everyone how certain person perceives color. 

When studying conformal mappings, I learned about the Joukowsky airfoil and transformation. This inspired me to build a tool in order test different airfoil shapes and see how they affected the streamlines. Because of the assumptions made when solving for the streamlines (incompressible, inviscid, etc.) we cannot trust this solution in any real context. Regardless, the plots are quite nice.

I wrote a Kalman filter to produce state estimations of a simulated aircraft. This was accurate enough to control the aircraft with the introduction of perturbations.

The dynamic mode decomposition (DMD) is a data driven approach to decompose a dynamic system into it's constituent dynamic modes. I wrote a a DMD script to decompose the modes of a Von Karman vortex into it's dynamic modes.