1 PCA on Human Body Database

Principle Component Analysis (PCA) has been used to establish statistical models for analyzing different data. In this technical report, I mainly focus on the human body database. The main advantage is that the relationship between exemplars with low variance can be discarded after PCA analysis. The full dataset does not need to be retained to represent the original examples. As a result, both the computational complexity and the data size can be greatly reduced. Assume there are m scanned models served as exemplars, they can be listed in a matrix H = [h1 h2...hm]3n×m, (1) where hi is a 3n × 1 vector which the entities are the 3D coordinates of n vertices from the mesh surface of the ith model in the database. By subtracting the average h ̄ = 1 m m∑ i=1 hi, (2