# American Institute of Mathematical Sciences

August & September  2019, 12(4&5): 1065-1072. doi: 10.3934/dcdss.2019073

## A new face feature point matrix based on geometric features and illumination models for facial attraction analysis

 School of Information Science and Technology, Northwest University, Xi'an, China

* Corresponding author: Jian Zhao

Received  July 2017 Revised  December 2017 Published  November 2018

Fund Project: The first author is supported by the National Natural Science Foundation of China grant 61379010, 61772421.

In this paper, we propose a 81-point face feature points template that used for face attraction analysis. This template is proposed that based on the AAM model, according to the geometric characteristics and the illumination model. The experimental results demonstrate that, the attraction of human face can be analyzed by the feature vector analysis of human face image quantification and the influence of light intensity on the attraction of human face. By taking the appropriate algorithm, the concept of facial beauty attractiveness can be learned by machine with numeric expressions.

Citation: Jian Zhao, Fang Deng, Jian Jia, Chunmeng Wu, Haibo Li, Yuan Shi, Shunli Zhang. A new face feature point matrix based on geometric features and illumination models for facial attraction analysis. Discrete & Continuous Dynamical Systems - S, 2019, 12 (4&5) : 1065-1072. doi: 10.3934/dcdss.2019073
##### References:

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##### References:
68 feature points detected face map
7-dimensional geometric features
The feature points of the geometric features in this paper
The feature point diagram of the illumination model
Improved light intensity map
7-dimensional distance feature vector description.
 Feature quantity number Feature quantity symbol Feature quantity description 1 F1 Nose and ears width (nose up to the top of the ear) 4 F4 Nose to the height of the forehead center 5 F5 Nose to the eyes of the angle 6 F6 Forehead center to the side of the distance 7 F7 The distance on both sides of the forehead
 Feature quantity number Feature quantity symbol Feature quantity description 1 F1 Nose and ears width (nose up to the top of the ear) 4 F4 Nose to the height of the forehead center 5 F5 Nose to the eyes of the angle 6 F6 Forehead center to the side of the distance 7 F7 The distance on both sides of the forehead
The slope of the nose of the ears
 Experimental sample Slope 1 Slope 2 Difference 1 0.0280 0.0399 -0.0119 3 0.0196 -0.0402 0.0598 4 -00476 -0.0562 0.0086 5 0.0840 0.0224 0.0616 6 0.1369 0.1168 0.0201
 Experimental sample Slope 1 Slope 2 Difference 1 0.0280 0.0399 -0.0119 3 0.0196 -0.0402 0.0598 4 -00476 -0.0562 0.0086 5 0.0840 0.0224 0.0616 6 0.1369 0.1168 0.0201
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