为使得求值简单且具保形性的DP-NTP曲线增加一个形状调节的功能,将文献(Delgado J,Pe a J M.Ashape preserving representation with an evaluation algorithm of linear complexity.Computer Aided GeometricDesign,2003,20(1):1-10)...为使得求值简单且具保形性的DP-NTP曲线增加一个形状调节的功能,将文献(Delgado J,Pe a J M.Ashape preserving representation with an evaluation algorithm of linear complexity.Computer Aided GeometricDesign,2003,20(1):1-10)中给出的一类全新的标准全正(NTP)基进行推广,提出了带多个形状参数的DP-NTP基,并在此基础上定义了带形状参数的DP-NTP曲线.在分析DP-NTP曲线基本几何性质的同时,给出了这类带形状参数的DP-NTP基到Bernstein基的转换公式,并对各个形状参数的几何意义进行讨论,给出了形状调节的一些实例.实例结果表明,形状参数可以较好地起到外形调节的作用.展开更多
An accurate closed form solution is proposed to estimate camera pose by several mirrored reference object images acquired via a planar mirror under different unknown poses. Compared with state-of-the-art methods, our ...An accurate closed form solution is proposed to estimate camera pose by several mirrored reference object images acquired via a planar mirror under different unknown poses. Compared with state-of-the-art methods, our method is more accurate when there are more than three images and has explicit geometric meanings. This method also properly handles cases in which some of the mirror poses are parallel. The central idea is to minimize an error metric based on all reflections of rotation, which enables the camera rotation to be estimated directly by SVD of sum of mirrored camera rotations. After that, the camera translation is computed by solving a large system of linear equations to minimize object space collinearity error. Both synthesized data and real data experiments show the advantages of our approach.展开更多
文摘为使得求值简单且具保形性的DP-NTP曲线增加一个形状调节的功能,将文献(Delgado J,Pe a J M.Ashape preserving representation with an evaluation algorithm of linear complexity.Computer Aided GeometricDesign,2003,20(1):1-10)中给出的一类全新的标准全正(NTP)基进行推广,提出了带多个形状参数的DP-NTP基,并在此基础上定义了带形状参数的DP-NTP曲线.在分析DP-NTP曲线基本几何性质的同时,给出了这类带形状参数的DP-NTP基到Bernstein基的转换公式,并对各个形状参数的几何意义进行讨论,给出了形状调节的一些实例.实例结果表明,形状参数可以较好地起到外形调节的作用.
基金supported by the National Natural Science Foundation of China(Grant No.11072263)
文摘An accurate closed form solution is proposed to estimate camera pose by several mirrored reference object images acquired via a planar mirror under different unknown poses. Compared with state-of-the-art methods, our method is more accurate when there are more than three images and has explicit geometric meanings. This method also properly handles cases in which some of the mirror poses are parallel. The central idea is to minimize an error metric based on all reflections of rotation, which enables the camera rotation to be estimated directly by SVD of sum of mirrored camera rotations. After that, the camera translation is computed by solving a large system of linear equations to minimize object space collinearity error. Both synthesized data and real data experiments show the advantages of our approach.
