Abstract

Estimation of Depth (z-coordinate) of 3D face from 2D (x-, y-) face images based on similarity transform is an optimization problem. In this work Correlation Scale Factor Differential Evolution (csDE) is proposed and used to estimate the optimal depth values which represent the z-coordinate. The different correlations considered to compute the scale factor of Differential Evolution are Spearman’s Rho, Kendall’s Tau and Pearson Correlation Coefficient. The proposed algorithm is implemented in MATLAB and empirical study is conducted on 2D images taken in lab and 3D Bosphorus database images. Similarity measure is computed between the estimated depth values and Candide Face model depth values for the 2D images captured in lab. In the case of 3D Bosphorus database similarity measure is computed between the estimated and true depth values provided with the database. The similarity measure obtained using Correlation Scale Factor Differential Evolution for the sample images of 3D Bosphorus database is compared with other similar estimation algorithms.

Authors

K. Punnam Chandar¹, K. Rajendra Prasad²
Kakatiya Unversity, India¹, KLR College of Engineering and Technology, India²

Keywords

Structure-from-Motion, Depth Estimation, Orthographic Projection, Differential Evolution, Computer Vision