结合线性变换和非线性变换的放大算法研究

非线性放大能在保持图像上下文关联的情况下对目标进行放大.利用球面几何模型得到了一种非线性的映射关系,并通过分析得到了该映射关系在图像变换中可以得到非线性放大的效果.为了进行有效的观察,避免感兴趣区域的中心出现变形,采用结合线性和非线性变换的方法对图像进行放大.实际应用的结果表明,该算法不仅可以放大感兴趣区域,而且能有效的保持上下文的关联关系,是一种有效的图像放大算法.     

Effect of manganese substitution on the crystal structure and decomposition kinetics of siderite

In this study, Mn-substituted siderites with different substitution amounts were prepared and characterized by using XRD (X-ray diffraction), TEM (transmission electron microscope), TG and DTG (thermogravimetry and derivative thermogravimetry) and Raman spectroscopy. The effect of Mn substitution on the crystal structure of siderite and thermal decomposition processes of synthetic siderite was investigated. The substitution of Mn for Fe in the crystal structure of siderite resulted in an increase in a and c dimensions from 4.702 and 15.374 to 4.718 and 15.43 Å as the substitution amount increased from 0 to 7.4%, respectively. The substitution of Mn also decreased the crystallinity of siderite. The thermal decomposition of synthetic siderite took place at approximately 350 °C. However, the substitution of Mn for Fe increased the decomposition temperature and improved the activation energy (E_d) values from 126.3, 155.7, 156.8 to 164.5, 167.6, 170.3 kJ mol⁻¹ when Mn substitution increased from 0 to 7.4 mol%.

     

星体径向弦长积分

我们引入星体的径向弦长积分的概念,并研究了它的性质．作为它的应用,建立了径向弦长积分的循环不等式、Brunn-Minkowski型不等式和对偶Bieberbach型不等式．