In this research paper, I discuss the different mathematical approaches that apply to face recognition. I know that every human being has unique poses, facial expressions, hair style, pictorial style and light conditions. So, face recognition is a very difficult task. To solve this, I need to test different image recognition methods such as image processing tools and heuristics. In this research paper I have explored the main features of the mathematical approach.

Keywords: Face Recognition System, Eigenfaces, Key-Frame, Colour Histogram.