3D Facial Similarity Measure Based on Geodesic Network and Curvatures

Automated 3D facial similarity measure is a challenging and valuable research topic in anthropology and computer graphics. It is widely used in various fields, such as criminal investigation, kinship confirmation, and face recognition. This paper proposes a 3D facial similarity measure method based...

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Bibliographic Details
Published in:Mathematical problems in engineering 2014-01, Vol.2014 (2014), p.1-17
Main Authors: Jia, Taorui, Zhang, Minqi, Duan, Fu-qing, Wu, Zhongke, Liu, Cuiting, Zhao, Junli, Wang, Kang
Format: Article
Language:English
Subjects:
Anthropology
Automation
Biometrics
Computation
Computer graphics
Correlation coefficients
Curvature
Engineering
Experiments
Face
Face recognition
Facial
Feature recognition
Geodesy
Mathematical analysis
Mathematical models
Methods
Networks
Similarity
Three dimensional
Three dimensional models
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Summary:Automated 3D facial similarity measure is a challenging and valuable research topic in anthropology and computer graphics. It is widely used in various fields, such as criminal investigation, kinship confirmation, and face recognition. This paper proposes a 3D facial similarity measure method based on a combination of geodesic and curvature features. Firstly, a geodesic network is generated for each face with geodesics and iso-geodesics determined and these network points are adopted as the correspondence across face models. Then, four metrics associated with curvatures, that is, the mean curvature, Gaussian curvature, shape index, and curvedness, are computed for each network point by using a weighted average of its neighborhood points. Finally, correlation coefficients according to these metrics are computed, respectively, as the similarity measures between two 3D face models. Experiments of different persons’ 3D facial models and different 3D facial models of the same person are implemented and compared with a subjective face similarity study. The results show that the geodesic network plays an important role in 3D facial similarity measure. The similarity measure defined by shape index is consistent with human’s subjective evaluation basically, and it can measure the 3D face similarity more objectively than the other indices.
ISSN:1024-123X
1563-5147
DOI:10.1155/2014/832837