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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 variable like t or u. According to the natural equations, the curve length is the integration of the curve parametric equation’s derivation. So the core algorithm for curve length calculation is the numerical integration method. OpenCASCADE use Gauss-Legendre to calculate the integration for single v 阅读全文
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Abstract. OpenCascade uses advanced text rendering powered by FTGL library. The FreeType provides vector text rendering, as a result the text can be rotated and zoomed without quality loss. FreeType also support unicode charset. The paper focus on the Chinese Text rendering.
Key Words. OpenCascade, FreeType, Chinese Text, 中文汉字, Unicode 阅读全文
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Abstract. Draw is a command interpreter based on Tcl/Tk and a graphical system used to test and demonstrate OpenCascade modeling libraries. It provides a flexible and easy to use means of testing and demonstrating the OCCT modeling libraries. By a given command of Tcl, you can find the implentation code for that command by OpenCascade, the code could be as a demo to use of OCC modeling libraries. So this is the most effectively way of use OpenCascade.
Key words. OpenCascade, Tcl/Tk, Testing, 阅读全文
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Abstract. Delaunay Triangulation is the core algorithm for mesh generation. By Delaunay Triangulator you can make a general method to visualize geometry surfaces, so does OpenCascade. The paper focus on the geometry surfaces visualization, include the surfaces with holes.
Key words. OpenCascade, Delaunay Triangulator, OpenSceneGraph, Mesh, NURBS 阅读全文
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Abstract. B-splines are quite a bit more flexible than Bezier curves. This flexibility comes from the fact that you have much more control over the basis functions. For Bezier curves that each control point had an effect on each point on the curve; likewise the number of control points affected the degree of the curve. For the sake of flexiblity, you would like to be able to arbitrarily set the degree of the curve and to also determine the range of the affect each control point has. B-splines al 阅读全文
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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 eigenvectors by using Jacobi method. The exception NotSquare is raised if the matrix is not square. No verification that the matrix is really symmetric is done.
Key words. Eigenvalues, Eigenvectors, OpenCascade, Matrix, Jacobi method, 阅读全文
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Abstract. The ModelDataExchange import utility enables the user to import geometric models of equipment into 3D models within Design. The input models files format are STEP, IGES, STL .etc. The imported model is saved in polyhedron of the equipment.
Key Words. ModelDataExchange, Import, MEI, Mechanical Equipment Inteface 阅读全文
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摘要：本文简要介绍了Delaunay三角剖分的基础理论，并使用OpenCascade的三角剖分算法将边界BRep表示的几何体进行三角离散化后在OpenSceneGraph中显示。
关键字：Delaunay Triangulation、OpenCascade、OpenSceneGraph 阅读全文
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摘要Abstract：分析幂基曲线即多项式曲线在OpenCascade中的计算方法，以及利用OpenSceneGraph来显示OpenCascade的计算结果，加深对多项式曲线的理解。
关键字Key Words：OpenCascade、PLib、OpenSceneGraph、Polynomial Library 阅读全文
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Abstract. One of the important features of the boost polygon library is the implementation of the generic sweepline algorithm to construct Voronoi diagrams of points and linear segments in 2D(developed as part of the Google Summer of Code 2010 program). Voronoi diagram data structure has applications in image segmentation, optical character recognition, nearest neighbor queries execution. It is closely related with the other computational geometry conectps: Delaunay triangulation, medial axis, s 阅读全文