d-Dimensional parametric models for dynamic animation of deformable objects

This paper introduces an accurate, efficient, and unified engine dedicated to dynamic animation of d-dimensional deformable objects. The objects are modelled as d-dimensional manifolds defined as functional combinations of a mesh of 3D control points, weighted by parametric blending functions. This model ensures that, at each time step, the object shape conforms to its manifold definitions. The object motion is deduced from the control points dynamic animation. In fact, control points should be viewed as the degrees of freedom of the continuous object. The chosen dynamic equations (Lagrangian formalism) reflect this generic modelling scheme and yield an exact and computationally efficient linear system.     

Computing multiple-output regression quantile regions

A procedure relying on linear programming techniques is developed to compute (regression) quantile regions that have been defined recently. In the location case, this procedure allows for computing halfspace depth regions even beyond dimension two. The corresponding algorithm is described in detail, and illustrations are provided both for simulated and real data. The efficiency of a Matlab implementation of the algorithm¹ is also investigated through extensive simulations.     

板式塔总装图参数化绘图研究

板式塔总装图的绘制是板式塔设计的主要工作之一，工作量大。通过对板式塔总体结构特点及其视图表示法的分析总结，结合行业标准及有关规定，将其总装图划分为几种规范化的组件，包括塔体、塔板及开孔结构等部分。根据各组件及总体表达方案的特点建立组件对应的子程序库、数据库、总装图数据文件及相关规则库，在此基础上，提出了板式塔总装图参数化绘图方法，并借助ＡＵＴＯＬＩＳＰ语言在ＡＵＴＯＣＡＤ１２环境中编程实现，提高绘图效率约２０倍。由于板式塔总装图的复杂性，未能解决文字及符号等的自动标注，有待完善。     

微分观点下的参数化设计技术原理和实现方法

参数化设计以其强有力的草图设计和图纸尺寸驱动功能已成为实现产品的初步设计，系列设计以及变异式设计的核心技术，本文提出了一种新的基于微妥观点的参数化设计方法，其基一思想是将用户修改参数的过程用一个关于时间的常发方程组来建模，通过求解该常微分方程组的初始值问题来实现系统的自动参数调整，与现有单纯使用非线性方程组求解的参数化方法相比，这种参数化设计方法在可靠性和效率方面有较大的改进，此外这种方法还可以用     

A study on a generalized parametric interpolator with real-time jerk-limited acceleration

The impossibility of exact arc length computation for ‘standard’ parametric curves such as Bézier/B-spline curves makes it difficult to generate a feedrate profile with desired accelerations in real-time. This paper presents a new recursive trajectory generation method that estimates an admissible path increment and determines the initiation of the final deceleration stage according to the distance left to travel estimated at every sampling time, resulting in exact feedrate trajectory generation through jerk-limited acceleration profiles for the parametric curves. The proposed approach allows the feedrate profile to be dynamically adjusted according to geometrical path constraints for the curved path. The simulation result has been also provided to illustrate the generation of smooth feedrate profile encompassing a sequence of mixed NC blocks including traditional linear and circular blocks.     

A new parametric control method for freeform mesh models

Parametric modeling technology is difficult to apply to freeform mesh models since there is no efficient way to impose geometric constraints. In this paper, we propose a novel method to control freeform mesh models parametrically. Our approach is to construct a control mesh that surrounds an object model and then impose constraints on it. The control mesh is parametrically controlled and the shape of the object model is modified by using an existing freeform deformation method. This paper is mainly concerned with automated construction of a control mesh and treatment of geometric constraints. Procedures for creating a control mesh are as follows: 1) determine the optimal orientation of the model, 2) project the model along three axes and extract contours, 3) create 2D control polygons for the contours, and 4) construct the 3D control mesh from the 2D control polygons. Geometric constraints are imposed on the edges and faces of a control mesh. Types of constraints are given by either a relative relationship between elements or an absolute displacement. A new control mesh is calculated by solving these constraints and the original model is modified accordingly. We tested our algorithms for two freeform models.     

Robust observers for systems with parameters

In many cases linear multivariable models which describe physical systems contain structured parametric type uncertainties. Specifically it may be that the state space model is expressed in a form which involves parameters. We first consider circumstances in which a parameter independent observer can be constructed for the system, and suggest conditions that guarantee its existence. We also give conditions under which such a robust observer can be subsequently used with additional dynamics in a parameter free configuration for regulation.     

基于Genius—Gev阀门参数化设计

分析Gev的参数化设计原理，介绍计算机辅助阀门参数化设计软件的基本功能。     

基于有向超图的参数代表示模型及其实现

本文提出了一种基于有向超图的参数化图形表示模型．它不仅能够表示图形的尺寸约束和几何约束，而且能够支持图形拓扑结构变化和工程设计约束的表示．在交互绘制图形对象的同时直接建立参数化图形约束模型．由于在图形构造的每一步都保证约束的一致性，因此，不会出现过约束或欠约束的情况．经实践表明，该模型具有实用方便、高效可行的特点，适合于系列化产品的参数化ＣＡＤ系统建模和绘图．     

参数化设计中的动态约束迭代及静态因果分析技术

参数化设计以其强有力的草图设计和图纸尺寸驱动功能成为实现产品的初步设计、系列设计以及变异式设计的核心技术。这两种参化设计算法克服了现有参数化方法在功能、效率以及可靠性等方面存在的 问题，历而能够地应用到实际系统中去。