基于降维比较的指横纹定位方法

针对指横纹感兴趣区域(ROI)难以准确、快速定位的问题,提出了利用降维比较进行定位的方法。该方法在图像定位阶段,对ROI特征图像在水平和垂直2个方向投影,实现了图像的降维,在保留特征信息的基础上降低了后续处理计算的时间复杂度。将降维后的2个一维向量进行比较,最终实现指横纹ROI的精准定位。相对于传统方法,本方法降低了运算的维数,算法复杂度低,速度快,实验结果验证了该方法的有效性。     

从投影理论的发展看计算机绘图

从投影方程组系数矩阵及广义轴测投影分析入手,对两个多世纪以来的投影理论发展总结评述;通过数学分析,得出计算机绘图优于手工绘制轴测图的理论依据,证明计算机绘图不仅工具方便,且理论上更具有先进性.     

变尺度梯度投影算子的一些性质

变尺度梯度投影算法是解决带约束非线性规划问题的一个常用方法，本文主要给出变尺度梯度投影算子的一些性质。     

波尔克定理中三个问题的图解与计算

本文应用画法几何的基本原理研究波尔克定理中三个问题的图解与计算的方法.     

球对称性的显著性PP检验

在本文中，利用投影寻踪（Ｐｒｏｊｅｃｔｉｏｎｐｕｒｓｕｉｔ）技巧构造了球对称性的显著性ＰＰ检验，得取检验统计量的斩近分布，讨论了其Ｂｏｏｔｓｔｒａｐ逼近以及逼近的相合性问题。     

圆弧投影与相贯作图

阐述了圆弧投影在有关直轴线截面为椭圆的曲面体相贯作图中的应用．圆弧投影解决了传统作图法在这类相贯问题中的中间作图——双曲线和其他几何元素的求交问题     

A reduction algorithm for approximating a (nonmetric) dissimilarity by a tree distance

We propose a development stemming from Roux (1988). The principle is progressively to modify the dissimilarities so that every quadruple satisfies not only the additive inequality, as in Roux's method, but also all triangle inequalities. Our method thus ensures that the results are tree distances even when the observed dissimilarities are nonmetric. The method relies on the analytic solution of the least-squares projection onto a tree distance of the dissimilarities attached to a single quadruple. This goal is achieved by using geometric reasoning which also enables an easy proof of algorithm's convergence. This proof is simpler and more complete than that of Roux (1988) and applies to other similar reduction methods based on local least-squares projection. The method is illustrated using Case's (1978) data. Finally, we provide a comparative study with simulated data and show that our method compares favorably with that of Studier and Keppler (1988) which follows in the ADDTREE tradition (Sattath and Tversky 1977). Moreover, this study seems to indicate that our method's results are generally close to the global optimum according to variance accounted for.We offer sincere thanks to Gilles Caraux, Bernard Fichet, Alain Guénoche, and Maurice Roux for helpful discussions, advice, and for reading the preliminary versions of this paper. We are grateful to three anonymous referees and to the editor for many insightful comments. This research was supported in part by the GREG and the IA² network.     

超宽带SAR成像的快速BP算法

在后向投影（BP）算法的基础上,提出了一种快速后向投影（FBP）算法。以点目标和多点目标为例,将该算法应用于超宽带合成孔径雷达成像并与原始（BP）成像算法进行比较,仿真结果证明了该算法的快速性和有效性。