A Projective Framework for Polyhedral Mesh Modelling

We present a novel framework for polyhedral mesh editing with face‐based projective maps that preserves planarity by definition. Such meshes are essential in the field of architectural design and rationalization. By using homogeneous coordinates to describe vertices, we can parametrize the entire shape space of planar‐preserving deformations with bilinear equations. The generality of this space allows for polyhedral geometric processing methods to be conducted with ease. We demonstrate its usefulness in planar‐quadrilateral mesh subdivision, a resulting multi‐resolution editing algorithm, and novel shape‐space exploration with prescribed transformations. Furthermore, we show that our shape space is a discretization of a continuous space of conjugate‐preserving projective transformation fields on surfaces. Our shape space directly addresses planar‐quad meshes, on which we put a focus, and we further show that our framework naturally extends to meshes with faces of more than four vertices as well.     

云南蒋家沟黏性泥石流输沙的涨落特征

间歇性阵流是山区小流域发生的黏性泥石流活动的基本形式,其输沙特性表现出一定的间歇性和涨落特性,其涨落可达均值的2~4个数量级。利用Hurst指数分析了蒋家沟近50年的数千阵泥石流观测资料,发现间歇性阵流的流量、径流量、输沙量序列的Hurst指数均大于0.5,说明序列具有一定程度的长程关联性。同时,对比阵流序列与洪峰序列,发现泥石流阵流的长程关联性强于洪峰序列。另一方面,输沙量的累积百分比均满足统一的指数分布形式:P(S)=CS~(-μ)exp(-S/S_c),其中μ越大意味着序列中输沙量较小的阵次越多;S_c表示的是阵流输沙的涨落情况,即S_c越大,阵流输沙的涨落越大。     

不同缝面形态下诱导缝开裂效果对比研究

一些采用径向扭缝的碾压混凝土拱坝工程中,出现了诱导缝周边坝体混凝土开裂而诱导缝本身未张开的现象,因此需定量分析不同空间形态缝面对诱导缝开裂的影响效果。根据碾压混凝土拱坝应力变化特点以及诱导缝开裂变化规律,本文拟定含不同缝面空间形态的有限大平板和圆筒拱坝算例,利用虚拟裂纹闭合法和Richard脆性断裂准则获取空间缝面等效应力强度因子,研究缝面应力强度因子随缝面夹角的变化规律;通过对归一化后的应力强度因子求倒数,获取不同缝面夹角条件下诱导缝等效强度的修正系数即缝面空间形态影响因子,以反映不同缝面空间形态下诱导缝开裂效果。研究表明,随着缝面夹角的不断增大,缝面越不容易张开,这就意味着缝面的等效强度在逐渐增大。因此,在实际碾压混凝土拱坝设计中,诱导缝应尽量采用竖向垂直缝布置;若要布置成径向扭缝,则缝面夹角最大不宜超过10°。     

Pb(Mg_(1+x)/3Nb_(2-x)/3)O_3铁电材料中有序-无序相变的理论研究

基于Kikuchi自洽迭代方法,利用有序-无序相变理论,并取最近邻相互作用近似,研究了Pb(Mg_((1+x)/2)Nb_((2-x)/2)O_3晶粒中在x=0.5时有序区形成的原因,提出Mg~(2+)∶Nb~(5+)=1∶1(离子数比)时,形成B位有序排列最为有利,并且弱的空间电荷场不影响这种有序排列的形成,同时给出了温度-组份的有序-无序相图。     

Deformation similarity measurement in quasi-conformal shape space

This paper presents a novel approach based on the shape space concept to classify deformations of 3D models. A new quasi-conformal metric is introduced which measures the curvature changes at each vertex of each pose during the deformation. The shapes with similar deformation patterns follow a similar deformation curve in shape space. Energy functional of the deformation curve is minimized to calculate the geodesic curve connecting two shapes on the shape space manifold. The geodesic distance illustrates the similarity between two shapes, which is used to compute the similarity between the deformations. We applied our method to classify the left ventricle deformations of myopathic and control subjects, and the sensitivity and specificity of our method were 88.8% and 85.7%, which are higher than other methods based on the left ventricle cavity, which shows our method can quantify the similarity and disparity of the left ventricle motion well.     

Fuzzy PID control of space manipulator for both ground alignment and space applications

Considering gravity change from ground alignment to space applications, a fuzzy proportional-integral-differential (PID) control strategy is proposed to make the space manipulator track the desired trajectories in different gravity environments. The fuzzy PID controller is developed by combining the fuzzy approach with the PID control method, and the parameters of the PID controller can be adjusted on line based on the ability of the fuzzy controller. Simulations using the dynamic model of the space manipulator have shown the effectiveness of the algorithm in the trajectory tracking problem. Compared with the results of conventional PID control, the control performance of the fuzzy PID is more effective for manipulator trajectory control.     

基于共生矩阵和形态学的彩色图像边缘检测

针对在RGB空间中难以有效区分颜色相似性的问题,提出了一种基于共生矩阵和HSI空间形态学的彩色图像边缘检测方法。采用二维共生矩阵直方图均衡化方法,解决图像过渡不自然的现象;针对HSI的分量利用形态学方法进行加权分析和图像融合,得到彩色图像边缘。通过MATLAB实验表明,该算法检测准确率高,自适应性好,有较好的检测效果。     

考虑重力影响的空间机械臂轨迹跟踪滑模控制

针对空间机械臂由地面装调到空间应用过程中重力环境发生变化的问题,使用滑模控制器对空间机械臂进行控制,通过将配置特殊的非线性结构-fal函数引入趋近律的设计中,提出一种新的基于趋近律的滑模控制方法,并基于李亚普诺夫理论证明了闭环系统的渐近稳定性。仿真结果表明该方法能够很好地完成不同重力环境下机械臂的轨迹跟踪控制任务,并具有较强的鲁棒性。     

基于图像空间的三维动态场景远程可视化方法

对复杂三维动态场景进行远程可视化,基于顶点运动轨迹的压缩、传输方法需要计算的顶点数量巨大,速度慢.针对这些问题,提出一种基于图像空间的三维动态场景远程可视化方法:首先在服务器端进行先空间后时间的自适应采样,获得多幅动画深度图像.通过使用动画深度图像的采样点代替原始动态场景中的顶点,极大减少需要参与计算的三维点数量;然后在每幅动画深度图像中并行压缩采样点的运动轨迹,有效减少压缩时间;最后将压缩后的动态数据传输到客户端并重构一定时间内的三维动态场景.实验结果表明,算法可以极大提高服务器端数据压缩速度,减少需要传输的数据量,有效降低网络带宽对数据传输的限制.