3D Face Similarity Measure by Fréchet Distances of Geodesics
Autor: | Zhenkuan Pan, Kang Wang, Zhongke Wu, Junli Zhao, Fuqing Duan, Yu-Cong Chen, Jinhua Li, Zhihan Lv |
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Rok vydání: | 2018 |
Předmět: |
Geodesic
Triangle inequality business.industry Computer science Fréchet distance 020207 software engineering Pattern recognition 02 engineering and technology Similarity measure Facial recognition system Computer Science Applications Theoretical Computer Science Hausdorff distance Computational Theory and Mathematics Similarity (network science) Hardware and Architecture Face (geometry) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Artificial intelligence business Software |
Zdroj: | Journal of Computer Science and Technology. 33:207-222 |
ISSN: | 1860-4749 1000-9000 |
Popis: | 3D face similarity is a critical issue in computer vision, computer graphics and face recognition and so on. Since Frechet distance is an effective metric for measuring curve similarity, a novel 3D face similarity measure method based on Frechet distances of geodesics is proposed in this paper. In our method, the surface similarity between two 3D faces is measured by the similarity between two sets of 3D curves on them. Due to the intrinsic property of geodesics, we select geodesics as the comparison curves. Firstly, the geodesics on each 3D facial model emanating from the nose tip point are extracted in the same initial direction with equal angular increment. Secondly, the Frechet distances between the two sets of geodesics on the two compared facial models are computed. At last, the similarity between the two facial models is computed based on the Frechet distances of the geodesics obtained in the second step. We verify our method both theoretically and practically. In theory, we prove that the similarity of our method satisfies three properties: reflexivity, symmetry, and triangle inequality. And in practice, experiments are conducted on the open 3D face database GavaDB, Texas 3D Face Recognition database, and our 3D face database. After the comparison with iso-geodesic and Hausdorff distance method, the results illustrate that our method has good discrimination ability and can not only identify the facial models of the same person, but also distinguish the facial models of any two different persons. |
Databáze: | OpenAIRE |
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