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 ...
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...
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...
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...
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...
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...
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 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 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 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 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 Gauss Integration
OpenCASCADE Gauss Integration eryar@163.com Abstract. Numerical integration is the approximate computation of an integral using numerical techniques. The numerical computation of a...