The single 2 dilation orthogonal wavelet multipliers in one dimensional case and single A-dilation(where A is any expansive matrix with integer entries and|det A|=2) wavelet multipliers in high dimensional case were c...The single 2 dilation orthogonal wavelet multipliers in one dimensional case and single A-dilation(where A is any expansive matrix with integer entries and|det A|=2) wavelet multipliers in high dimensional case were completely characterized by the Wutam Consortium(1998) and Z. Y. Li, et al.(2010). But there exist no more results on orthogonal multivariate wavelet matrix multipliers corresponding integer expansive dilation matrix with the absolute value of determinant not 2 in L~2(R~2). In this paper, we choose 2I2=(~2~0)as the dilation matrix and consider the 2 I2-dilation orthogonal multivariate waveletΨ = {ψ, ψ, ψ},(which is called a dyadic bivariate wavelet) multipliers. We call the3 × 3 matrix-valued function A(s) = [ f(s)], where fi, jare measurable functions, a dyadic bivariate matrix Fourier wavelet multiplier if the inverse Fourier transform of A(s)( ψ(s), ψ(s), ψ(s)) ~T=( g(s), g(s), g(s))~ T is a dyadic bivariate wavelet whenever(ψ, ψ, ψ) is any dyadic bivariate wavelet. We give some conditions for dyadic matrix bivariate wavelet multipliers. The results extended that of Z. Y. Li and X. L.Shi(2011). As an application, we construct some useful dyadic bivariate wavelets by using dyadic Fourier matrix wavelet multipliers and use them to image denoising.展开更多
The discrete scalar data need prefiltering when transformed by discrete multi-wavelet, but prefiltering will make some properties of multi-wavelets lost. Balanced multi-wavelets can avoid prefiltering. The sufficient ...The discrete scalar data need prefiltering when transformed by discrete multi-wavelet, but prefiltering will make some properties of multi-wavelets lost. Balanced multi-wavelets can avoid prefiltering. The sufficient and necessary condition of p-order balance for multi-wavelets in time domain, the interrelation between balance order and approximation order and the sampling property of balanced multi-wavelets are investigated. The algorithms of 1-order and 2-order balancing for multi-wavelets are obtained. The two algorithms both preserve the orthogonal relation between multi-scaling function and multi-wavelets. More importantly, balancing operation doesnt increase the length of filters, which suggests that a relatively short balanced multi-wavelet can be constructed from an existing unbalanced multi-wavelet as short as possible.展开更多
【目的】从棉花无短绒突变体GZnn中分离棉纤维发育相关的转录因子,并对其转录激活功能和表达模式进行初步分析。【方法】通过RACE(rapid amplification of the cDNA ends)和染色体步行(genome walking)技术,获得GhMS3的cDNA序列及基因组...【目的】从棉花无短绒突变体GZnn中分离棉纤维发育相关的转录因子,并对其转录激活功能和表达模式进行初步分析。【方法】通过RACE(rapid amplification of the cDNA ends)和染色体步行(genome walking)技术,获得GhMS3的cDNA序列及基因组DNA序列。利用生物信息学方法对获得的DNA序列及推定的氨基酸序列进行分析,采用酵母单杂交系统验证GhMS3蛋白的转录激活功能,运用GUS组织化学染色法在转基因烟草中分析该基因的表达模式。【结果】获得GhMS3的基因组DNA以及上游1174bp的启动子序列。氨基酸序列比对发现GhMS3是R2R3 MYB转录因子。酵母试验表明,GhMS3蛋白具体外转录激活功能,C端体外转录激活功能较强,在PGhMS3:GUS转基因烟草中,GUS主要在表皮毛、根毛以及细胞分裂旺盛区域表达。【结论】从棉花无短绒突变体GZnn中分离到的R2R3 MYB转录因子GhMS3,具有组织特异性表达模式并且其编码蛋白具有体外转录激活功能,是否参与植物表皮细胞分化有待于进一步研究。展开更多
基金partially supported by the National Natural Science Foundation of China (Grant No. 11101142 and No. 11571107)
文摘The single 2 dilation orthogonal wavelet multipliers in one dimensional case and single A-dilation(where A is any expansive matrix with integer entries and|det A|=2) wavelet multipliers in high dimensional case were completely characterized by the Wutam Consortium(1998) and Z. Y. Li, et al.(2010). But there exist no more results on orthogonal multivariate wavelet matrix multipliers corresponding integer expansive dilation matrix with the absolute value of determinant not 2 in L~2(R~2). In this paper, we choose 2I2=(~2~0)as the dilation matrix and consider the 2 I2-dilation orthogonal multivariate waveletΨ = {ψ, ψ, ψ},(which is called a dyadic bivariate wavelet) multipliers. We call the3 × 3 matrix-valued function A(s) = [ f(s)], where fi, jare measurable functions, a dyadic bivariate matrix Fourier wavelet multiplier if the inverse Fourier transform of A(s)( ψ(s), ψ(s), ψ(s)) ~T=( g(s), g(s), g(s))~ T is a dyadic bivariate wavelet whenever(ψ, ψ, ψ) is any dyadic bivariate wavelet. We give some conditions for dyadic matrix bivariate wavelet multipliers. The results extended that of Z. Y. Li and X. L.Shi(2011). As an application, we construct some useful dyadic bivariate wavelets by using dyadic Fourier matrix wavelet multipliers and use them to image denoising.
基金Supported by the Scientific Research Foundation for Returned Overseas Chinese Scholars from the State Education Ministry (No. [2002]247) and the Young Key Teachers Foundation of Chongqing University.
文摘The discrete scalar data need prefiltering when transformed by discrete multi-wavelet, but prefiltering will make some properties of multi-wavelets lost. Balanced multi-wavelets can avoid prefiltering. The sufficient and necessary condition of p-order balance for multi-wavelets in time domain, the interrelation between balance order and approximation order and the sampling property of balanced multi-wavelets are investigated. The algorithms of 1-order and 2-order balancing for multi-wavelets are obtained. The two algorithms both preserve the orthogonal relation between multi-scaling function and multi-wavelets. More importantly, balancing operation doesnt increase the length of filters, which suggests that a relatively short balanced multi-wavelet can be constructed from an existing unbalanced multi-wavelet as short as possible.
文摘【目的】从棉花无短绒突变体GZnn中分离棉纤维发育相关的转录因子,并对其转录激活功能和表达模式进行初步分析。【方法】通过RACE(rapid amplification of the cDNA ends)和染色体步行(genome walking)技术,获得GhMS3的cDNA序列及基因组DNA序列。利用生物信息学方法对获得的DNA序列及推定的氨基酸序列进行分析,采用酵母单杂交系统验证GhMS3蛋白的转录激活功能,运用GUS组织化学染色法在转基因烟草中分析该基因的表达模式。【结果】获得GhMS3的基因组DNA以及上游1174bp的启动子序列。氨基酸序列比对发现GhMS3是R2R3 MYB转录因子。酵母试验表明,GhMS3蛋白具体外转录激活功能,C端体外转录激活功能较强,在PGhMS3:GUS转基因烟草中,GUS主要在表皮毛、根毛以及细胞分裂旺盛区域表达。【结论】从棉花无短绒突变体GZnn中分离到的R2R3 MYB转录因子GhMS3,具有组织特异性表达模式并且其编码蛋白具有体外转录激活功能,是否参与植物表皮细胞分化有待于进一步研究。
