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barycentric Coordinates

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barycentric_coordinates will give the coordinates alpha, beta ,gama of the matrix face_point.



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face_point is the point [x,y]' from the mean shape of the face. dt is 3 by 2 matrix that will have the coordinates corresponding 2 the vertices of a triangle. for eg for a triangle with vertices [v1, v2, v3] v1 will have coordinates [x1,y1] so dt will contain the matrix [x1 y1; x2 y2; x3 y3]

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