A classic problem in the field of pattern recognition is that of handwritten digit recognition. The heart of the problem lies within the ability to design an efficient algorithm that can recognize digits written and submitted by users via a tablet, scanner, and other digital devices. Previous studies have shown that the digits can be modeled as points in a high dimensional space which can adequately approximated by linear structures. In Chapters 2 and 3, we present two previously established algorithms rooted in two distinct geometric frameworks. In Chapter 4, we introduce a novel approach to...