Surface orientation driven 3D rigid registration method

In this paper, we propose a new surface-based method to solve the rotation transformation of 3D rigid registration. Different from the criterion that minimize the sum of the squares of the errors between the corresponding parts of objects, here we estimate the spatial modalities of objects by their orientations. In details, Gauss map of surface is introduced to measure the distribution of surface curvature. To depict the characters of surface, we add sign weights to Gauss sphere according to the local total curvature. The stereographic projection is utilized to transform the spherical statistics to bifacial plane. As well, an optimization solution is done by iterated algorithm. We applied our proposed method on lung triangular surface registration. The experiments were completed by mutual information of block statistic.