科研之友
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摘要
Moment invariants are widely used in reconstruction, recognition and discrimination of 2D and 3D images. Accurate and efficient computation of these moment invariants is a big challenge to the community of image processing and pattern recognition. Since the wide class of moment invariants of digital images is generally expressed as a combination of geometric moments, highly accurate and efficient computation of 2D and 3D geometric moments is a very desirable target. In this work, a novel highly efficient symmetry-based method is proposed for exact computation of 2D and 3D geometric moments. Exact values of 2D and 3D geometric moments are calculated by using pixel- and voxel-wise integration of the monomial terms over digital image pixels/voxels. Three types of symmetry are applied to reduce the computational complexity of 2D geometric moments by 87%. The proposed method is extended to compute 3D geometric moments, where the computational complexity is reduced by more than 93%. The proposed method is adapted to compute different families of continuous and discrete orthogonal moments. A comparison with other existing methods is performed where the numerical experiments and the memory storage analysis ensure the efficiency of the proposed method.
- 出版日期2012-9
