13 Offsets of Parametric Curves and Surfaces 13.1 Motivation.... 13.2 Parametric offset curves ........... 13.2.1 Differential geometry of parametric offset curves 22556 13.2.2 Singularities of parametric offset curves 13.2.3 Approximations

0.1 Overview of intersection problems 10.2 Intersection problem classification 10. 2. 1 Classification by dimension 10.2.2 Classification by type of geometr 10.2.3 Classification by number system 10.3 Point /point\intersection

Lecture 2 Differential geometry of curves 2.1 Definition of curves 2.1.1 Plane curves Implicit curves f(, y)=0 Example:x2+y2=a2 It is difficult to trace implicit curves It is easy to check if a point lies on the curve Multi-valued and closed curves can be represented

Lecture 6 B-splines(Uniform and Non-uniform) 6.1 Introduction The formulation of uniform B-splines can be generalized to accomplish certain objectives These include Non-uniform parameterization Greater general flexibility Change of one polygon vertex in a Bezier curve or of one data point in a cardinal(or interpolatory) spline curve changes entire curve(global schemes) Remove necessity to increase degree of Bezier curves or construct composite Bezier curves

Lecture 1 Introduction and classification of geometric modeling forms 1.1 Motivation Geometric modeling deals with the mathematical representation of curves, surfaces, and solids necessary in the definition of complex physical or engineering objects. The associated field of computational geometry is concerned with the development, analysis, and computer implemen tation of algorithms encountered in geometric modeling. The objects we are concerned with in engineering range from the simple

3.5 线形定常系统的稳定性 3.6 线性系统的稳态误差计算

3.1 引言 3.2 一阶系统的时域分析 3.3 二阶系统的时域分析

1概述 2杆件变形能的计算 3变形能的普遍表达式 4互等定理 5卡氏定理 6虚功原理 7单位载荷法莫尔积分 8计算莫尔积分的图乘法

1应力状态概述 2二向和三向应力状态的实例 3二向应力状态分析解析法 4二向应力状态分析图解法 5三向应力状态 6位移与应变分量 7平面应变状态分析 8广义胡克定律

1组合变形和叠加原理 2拉伸或压缩与弯曲的组合 3偏心压缩和截面核心 4扭转与弯曲的组合 5组合变形的普遍情况