OpenCASCADE Conic to BSpline Curves-Parabola
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...
OpenCASCADE Conic to BSpline Curves-Hyperbola
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 ...
OpenCASCADE Conic to BSpline Curves-Circle
OpenCASCADE Conic to BSpline Curves-Circle eryar@163.com Abstract. The conic sections and circles play a fundamental role in CAD/CAM applications. Undoubtedly one of the greatest a...
OpenCASCADE Root-Finding Algorithm
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 functio...
OpenCASCADE Quaternion
OpenCASCADE Quaternion eryar@163.com Abstract. The quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton. The idea for quaternions o...
OpenCASCADE Interpolation – Lagrange
OpenCASCADE Interpolation - Lagrange eryar@163.com Abstract. Power basis polynomial is the most simple polynomial function. It also be called power series. OpenCASCADE provides bas...
OPEN CASCADE Gauss Least Square
OPEN CASCADE Gauss Least Square eryar@163.com Abstract. The least square can be used to solve a set of n linear equations of m unknowns(n >= m). The OPEN CASCADE class math_Gaus...
OPEN CASCADE Multiple Variable Function
OPEN CASCADE Multiple Variable Function eryar@163.com Abstract. Multiple variable function with gradient and Hessian matrix is very very import in OPEN CASCADE optimization algorit...
Apply Newton Method to Find Extrema in OPEN CASCADE
Apply Newton Method to Find Extrema in OPEN CASCADE eryar@163.com Abstract. In calculus, Newton’s method is used for finding the roots of a function. In optimization, Newton’s me...
Function Set in OPEN CASCADE
Function Set in OPEN CASCADE eryar@163.com Abstract. The common math algorithms library provides a C++ implementation of the most frequently used mathematical algorithms. These inc...
OpenCASCADE Expression Interpreter by Flex & Bison
OpenCASCADE Expression Interpreter by Flex & Bison eryar@163.com Abstract. OpenCASCADE provide data structure of any expression, relation or function used in mathematics. Flex ...
C++ 应用程序性能优化
C++ 应用程序性能优化 eryar@163.com 1. Introduction 对于几何造型内核OpenCASCADE，由于会涉及到大量的数值算法，如矩阵相关计算，微积分，Newton迭代法解方程，以及非线性优化的一些算...