针对医学图像配准鲁棒性强、准确性高和速度快的要求,提出了一种基于融合多种特征点信息的最小生成树医学图像配准算法.该算法首先提取3种特征点,Harris-Laplace,Laplacian of Gaussian和网格点;然后使用遗传算法去除特征点集的冗余,并...针对医学图像配准鲁棒性强、准确性高和速度快的要求,提出了一种基于融合多种特征点信息的最小生成树医学图像配准算法.该算法首先提取3种特征点,Harris-Laplace,Laplacian of Gaussian和网格点;然后使用遗传算法去除特征点集的冗余,并通过对位映射构建无向完全图顶点集合;进而使用改进的Kruskal算法来构造最小生成树;最后使用得到的最小生成树估计Rényi熵.该算法较好地解决了在噪声数据中使用最小生成树估计Rényi熵面临的特征点不稳定导致鲁棒性低和构造最小生成树遇到的速度瓶颈.实验结果表明:在图像含有噪声、灰度不均匀以及初始误配范围较大的情况下,该算法在达到良好配准精度的同时,具有较强的鲁棒性和较快的速度.展开更多
The problem of embedding the Tsallis, Rényi and generalized Rényi entropies in the framework of category theory and their axiomatic foundation is studied. To this end, we construct a special category MES rel...The problem of embedding the Tsallis, Rényi and generalized Rényi entropies in the framework of category theory and their axiomatic foundation is studied. To this end, we construct a special category MES related to measured spaces. We prove that both of the Rényi and Tsallis entropies can be imbedded in the formalism of category theory by proving that the same basic partition functional that appears in their definitions, as well as in the associated Lebesgue space norms, has good algebraic compatibility properties. We prove that this functional is both additive and multiplicative with respect to the direct product and the disjoint sum (the coproduct) in the category MES, so it is a natural candidate for the measure of information or uncertainty. We prove that the category MES can be extended to monoidal category, both with respect to the direct product as well as to the coproduct. The basic axioms of the original Rényi entropy theory are generalized and reformulated in the framework of category MES and we prove that these axioms foresee the existence of an universal exponent having the same values for all the objects of the category MES. In addition, this universal exponent is the parameter, which appears in the definition of the Tsallis and Rényi entropies. It is proved that in a similar manner, the partition functional that appears in the definition of the Generalized Rényi entropy is a multiplicative functional with respect to direct product and additive with respect to the disjoint sum, but its symmetry group is reduced compared to the case of classical Rényi entropy.展开更多
文摘针对医学图像配准鲁棒性强、准确性高和速度快的要求,提出了一种基于融合多种特征点信息的最小生成树医学图像配准算法.该算法首先提取3种特征点,Harris-Laplace,Laplacian of Gaussian和网格点;然后使用遗传算法去除特征点集的冗余,并通过对位映射构建无向完全图顶点集合;进而使用改进的Kruskal算法来构造最小生成树;最后使用得到的最小生成树估计Rényi熵.该算法较好地解决了在噪声数据中使用最小生成树估计Rényi熵面临的特征点不稳定导致鲁棒性低和构造最小生成树遇到的速度瓶颈.实验结果表明:在图像含有噪声、灰度不均匀以及初始误配范围较大的情况下,该算法在达到良好配准精度的同时,具有较强的鲁棒性和较快的速度.
基金supported by the National Natural Science Foundation of China(21503076)Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province,China(Xiang Jiao Tong[2012]318)~~
文摘The problem of embedding the Tsallis, Rényi and generalized Rényi entropies in the framework of category theory and their axiomatic foundation is studied. To this end, we construct a special category MES related to measured spaces. We prove that both of the Rényi and Tsallis entropies can be imbedded in the formalism of category theory by proving that the same basic partition functional that appears in their definitions, as well as in the associated Lebesgue space norms, has good algebraic compatibility properties. We prove that this functional is both additive and multiplicative with respect to the direct product and the disjoint sum (the coproduct) in the category MES, so it is a natural candidate for the measure of information or uncertainty. We prove that the category MES can be extended to monoidal category, both with respect to the direct product as well as to the coproduct. The basic axioms of the original Rényi entropy theory are generalized and reformulated in the framework of category MES and we prove that these axioms foresee the existence of an universal exponent having the same values for all the objects of the category MES. In addition, this universal exponent is the parameter, which appears in the definition of the Tsallis and Rényi entropies. It is proved that in a similar manner, the partition functional that appears in the definition of the Generalized Rényi entropy is a multiplicative functional with respect to direct product and additive with respect to the disjoint sum, but its symmetry group is reduced compared to the case of classical Rényi entropy.
