OpenCASCADE 参数曲面面积 eryar@163.com Abstract. 本文介绍了参数曲面的第一基本公式,并应用曲面的第一基本公式,结合OpenCASCADE中计算多重积分的类,对任意参数曲面的面积进行计算. Key Words. Parametric Curve, Parametric Surface, Gauss Integration, Global Properties 1.Introduction 我们知道一元函数y=f(x)的图像是一条曲线,二元函数z=f(x,y)的图

OpenCASCADE 参数曲线曲面面积 eryar@163.com Abstract. 本文介绍了参数曲面的第一基本公式,并应用曲面的第一基本公式,结合OpenCASCADE中计算多重积分的类,对任意参数曲面的面积进行计算. Key Words. Parametric Curve, Parametric Surface, Gauss Integration, Global Properties 1.Introduction 我们知道一元函数y=f(x)的图像是一条曲线,二元函数z=f(x,y)

瘋耔C++笔记 欢迎关注瘋耔新浪微博:http://weibo.com/cpjphone 参考:C++程序设计(谭浩强) 参考:http://c.biancheng.net/cpp/biancheng/cpp/rumen_8/ 博客原文:http://www.cnblogs.com/Ph-one/p/3974707.html 一.C++初步认识 1.C++输入.输出.头文件解释 #include<iostream> using namespace std ; int mian() { cout

OpenCASCADE直线与平面求交 在<解析几何>相关的书中都给出了直线和平面的一般方程和参数方程.其中直线的一般方程有点向式形式的. 由于过空间一点可作且只能作一条直线平行于已知直线,所以当直线上一点(x0, y0, z0)和它的一方向向量(m,n,p)为已知时,直线就完全确定了.所以在OpenCASCADE中直线类gp_Lin有一个构造函数: gp_Lin (const gp_Pnt &P, const gp_Dir &V) 即通过点和方向来构造直线.由直线的点向式方程容

OpenCASCADE 平面与球面求交 eryar@163.com OpenCASCADE提供了类IntAna_QuadQuadGeo用来计算两个二次曲面quadric(球面.圆柱面.圆锥面及平面,平面是二次曲面的特例)之间的交线.他们之间可能的结果有: l 一个点 l 一条或两条直线 l 一个点和一条直线 l 圆 l 椭圆 l 抛物线 l 双曲线 将源码结合<高等数学>.<解析几何>等书,可以来学习如何将理论付诸实践.本文主要介绍这个类中平面与球面求交的源码实现.  将源码列出如

OpenCASCADE 平面求交 eryar@163.com OpenCASCADE提供了类IntAna_QuadQuadGeo用来计算两个二次曲面quadric(球面.圆柱面.圆锥面及平面,平面是二次曲面的特例)之间的交线.他们之间可能的结果有: l 一个点 l 一条或两条直线 l 一个点和一条直线 l 圆 l 椭圆 l 抛物线 l 双曲线 将源码结合<高等数学>.<解析几何>等书,可以来学习如何将理论付诸实践.本文主要介绍这个类中两个平面求交的源码实现.从源码中也可以看出Ope

OpenCASCADE圆与平面求交 eryar@163.com 在 解析几何求交之圆与二次曲面中分析了OpenCASCADE提供的类IntAna_IntConicQuad可以用来计算圆与二次曲面之间的交点,这个算法是将平面Plane作为二次曲面的一个特例来处理,最后主要是对三角函数方程进行求解. 当直接使用圆和平面作为参数时,IntAna_IntConicQuad重载了函数Perform来对圆和平面进行求交计算,这时的算法与前面解三角函数不同,代码如下: void IntAna_IntConic

OpenCASCADE Expression Interpreter by Flex & Bison eryar@163.com Abstract. OpenCASCADE provide data structure of any expression, relation or function used in mathematics. Flex and Bison are tools for building programs that handle structured input. Th

OpenCASCADE Interpolations and Approximations eryar@163.com Abstract. In modeling, it is often required to approximate or interpolate points to curves and surfaces. In interpolation, the process is complete when the curve or surface passes through al

OpenCASCADE Interpolation - Lagrange eryar@163.com Abstract. Power basis polynomial is the most simple polynomial function. It also be called power series. OpenCASCADE provides basic computation functions for polynomial functions, such as evaluate th

OpenCASCADE Hidden Line Removal eryar@163.com Abstract. To provide the precision required in industrial design, drawings need to offer the possibility of removing lines, which are hidden in a given projection. OpenCASCADE provides two algorithms for

OpenCASCADE Camera eryar@163.com Abstract. OpenCASCADE introduce a new class Graphic3d_Camera for the Visualization module. The camera class provides object-oriented approach to setting up projection and orientation properties of 3D view. The paper u

OpenCASCADE Linear Extrusion Surface eryar@163.com Abstract. OpenCASCADE linear extrusion surface is a generalized cylinder. Such a surface is obtained by sweeping a curve (called the “extruded curve” or “basis”) in a given direction (referred to as

OpenCASCADE BRep vs. OpenNURBS BRep eryar@163.com Abstract. BRep short for Boundary Representation. First give the definition of the BRep, then compare the BRep mode between OpenCASCADE and OpenNURBS. There are 3 main representation method: use face/

OpenCASCADE Root-Finding Algorithm eryar@163.com Abstract. A root-finding algorithm is a numerical method, or algorithm, for finding a value x such that f(x)=0, for a given function f. Such an x is called a root of the function f. In OpenCASCADE math

OpenCASCADE Conic to BSpline Curves-Hyperbola eryar@163.com Abstract. Rational Bezier Curve can represent conic curves such as circle, ellipse, hyperbola, .etc. But how to convert a conic curve to BSpline curve is still question, i.e. Represent a con

OpenCASCADE Conic to BSpline Curves-Parabola eryar@163.com Abstract. Rational Bezier Curve can represent conic curves such as circle, ellipse, hyperbola, .etc. But how to convert a conic curve to BSpline curve is still question, i.e. Represent a coni

OpenCASCADE Gauss Integration eryar@163.com Abstract. Numerical integration is the approximate computation of an integral using numerical techniques. The numerical computation of an integral is sometimes called quadrature. The most straightforward nu

OpenCASCADE Curve Length Calculation eryar@163.com Abstract. The natural parametric equations of a curve are parametric equations that represent the curve in terms of a coordinate-independent parameter, generally arc length s, instead of an arbitray

OpenCascade Eigenvalues and Eigenvectors of Square Matrix eryar@163.com Abstract. OpenCascade use the Jacobi method to find the eigenvalues and the eigenvectors of a real symmetric square matrix. Use class math_Jacobi to computes all eigenvalues and