Towards the end of our class, we have been paying attention to Monte Carlo techniques. Monte Carlo simulation, which randomly generates values for uncertain variables over and over to simulate a model, have the advantage of factoring uncertainty into the processes where it is applied. Stanislow Ulam might be amused to learn that his Monte […]

The application of matrix factorization and singular value decomposition (SVD) to image processing that many posts have provided interesting examples of multidimensional, or multivariate data. Those discussions led me to look at the principle component analysis (PCA) technique, which has been addressed quite a few times but from different angles. It is also used to […]

We have in the past few weeks implemented root-finding algorithms to create images as the first class project. The Bisection method, the Regula Falsi method, Newton’s method, and Secant method are all suggested to be used to supply roots to a ray-casting program. The project not only confirms the importance of considering algorithm differences […]