In this paper Singular Decompositon Value (SVD) formula and modified Chi-square solution are provided, and the modified Chi-square is combined with FT-IR instrument to control biochemical reaction process. Using the m...In this paper Singular Decompositon Value (SVD) formula and modified Chi-square solution are provided, and the modified Chi-square is combined with FT-IR instrument to control biochemical reaction process. Using the modified Chi-square technique, the unknown concentration of reactants and products in test samples withdrawn from the process is determined. The technique avoids the need for the spectral data to conform to Beer’s Law and the best spectral range is determined automatically.展开更多
提出了一种以代数B-样条曲线为表达形式、基于有向距离场的隐式曲线重建方法.首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云,采用移动最小平方(moving least square,简称MLS)方法对点云去噪、重采样,得到一个低噪音、...提出了一种以代数B-样条曲线为表达形式、基于有向距离场的隐式曲线重建方法.首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云,采用移动最小平方(moving least square,简称MLS)方法对点云去噪、重采样,得到一个低噪音、分布均匀的"线状"点云,再通过Level Set方法建立该"线状"点云的离散几何距离场,最后用一个代数B-样条函数光顺拟合该离散距离场,代数函数的零点集即为重建曲线.曲线重建过程可以归结为求解线性方程组问题.这种重建方法不仅可以得到高质量的重建曲线,还可以得到曲线周围的距离场信息.同时,避免了隐式曲线重建中经常出现的多余分支问题.展开更多
文摘In this paper Singular Decompositon Value (SVD) formula and modified Chi-square solution are provided, and the modified Chi-square is combined with FT-IR instrument to control biochemical reaction process. Using the modified Chi-square technique, the unknown concentration of reactants and products in test samples withdrawn from the process is determined. The technique avoids the need for the spectral data to conform to Beer’s Law and the best spectral range is determined automatically.
基金Supported by the National Natural Science Foundation of China under Grant Nos.6037303660333010(国家自然科学基金)+2 种基金the National Basic Research Program of China under Grant No.2002CB312101(国家重点基础研究发展计划(973))the National Research Foundation for the Doctoral Program of Ministry of Education of China under Grant No.20050335069(国家教育部高等学校博士学科点专项科研基金)the Natural Science Foundation of Zhejiang Province of China under Grant No.R106449(浙江省自然科学基金)
文摘提出了一种以代数B-样条曲线为表达形式、基于有向距离场的隐式曲线重建方法.首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云,采用移动最小平方(moving least square,简称MLS)方法对点云去噪、重采样,得到一个低噪音、分布均匀的"线状"点云,再通过Level Set方法建立该"线状"点云的离散几何距离场,最后用一个代数B-样条函数光顺拟合该离散距离场,代数函数的零点集即为重建曲线.曲线重建过程可以归结为求解线性方程组问题.这种重建方法不仅可以得到高质量的重建曲线,还可以得到曲线周围的距离场信息.同时,避免了隐式曲线重建中经常出现的多余分支问题.
