3D Normalization Based on the Barycentric Coordinates
El Mostafa Rajaallah, Lahcen Moumoun, and Taoufiq Gadi
Laboratory LAVETE, Dept. Mathematics and Computer Science, Faculty of Science and Technology, University Hassan 1st, Settat, Morocco
Abstract—The most common technique in the normalization of 3D objects is the Principal Component Analysis (PCA). However, it is well known that the principal axes generated by the PCA may be different for similar shapes. To overcome the limitations of the PCA we propose in this paper a normalization method to give robustness to remeshing, rotations and reflections of meshed 3D objects. This method is based on the integration of the mesh volume, the use of barycentric coordinates and the CPCA (Continuous Principal Component Analysis).
Index Terms—normalization, PCA, barycentric coordinates.
Cite: El Mostafa Rajaallah, Lahcen Moumoun, and Taoufiq Gadi, "3D Normalization Based on the Barycentric Coordinates," Journal of Emerging Technologies in Web Intelligence, Vol. 6, No. 1, pp. 75-79, February 2014. doi:10.4304/jetwi.6.1.75-79
Index Terms—normalization, PCA, barycentric coordinates.
Cite: El Mostafa Rajaallah, Lahcen Moumoun, and Taoufiq Gadi, "3D Normalization Based on the Barycentric Coordinates," Journal of Emerging Technologies in Web Intelligence, Vol. 6, No. 1, pp. 75-79, February 2014. doi:10.4304/jetwi.6.1.75-79
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