• Title/Summary/Keyword: Triangulation of NURBS

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Trimmed NURBS surface tessellation with sharp shape constraint (Sharp Shape를 유지하는 trimmed NURBS 곡면의 삼각화 방법)

  • Cho, Doo-Yeoun;Kim, In-Ill;Lee, Kyu-Yeul;Kim, Tae-Wan
    • Journal of Korea Game Society
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    • v.2 no.1
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    • pp.62-68
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    • 2002
  • This paper presents a method for tessellating trimmed NURBS surface with preserving sharp shape Although several existing approaches need a large number of triangular meshes to represent sharp shape of surface, resulting triangular meshes may not reflect sharp edges properly. In this study, we flit detect the sharp shape of NURBS surface automatically using C1 continuous condition and then use constraint Delaunay triangulation method to present exact sharp shape with the minimum triangular meshes. And we also use approximated developed surface domain as triangulation domain of rimmed NURBS surface. In this way, the shape of triangular elements on the triangular domains is approximately preserved and can avoid distortion when mapped into three-dimensional space. finally, we show examples that demonstrate the effectiveness of the proposed scheme in terms of reducing the number of triangular meshes and preserving sharp shape of surface more exactly.

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An Efficient Triangulation Algorithm for Trimmed NURBS Surfaces (트림된 NURBS 곡면의 효율적인 삼각화 알고리즘)

  • 정재호;박준영
    • Korean Journal of Computational Design and Engineering
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    • v.5 no.2
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    • pp.144-154
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    • 2000
  • We propose an algorithm for obtaining a triangular approximation of a trimmed NLRBS surface. Triangular approximation is used in the pre-processing step of many applications such as RP(Rapid Prototyping), NC(Numerical Control) and FEA(Finite Element Analysis), etc. The algorithm minimizes the number of triangular elements within tolerance and generates a valid triangular mesh for STL file and NC tool path generation. In the algorithm, a subdivision method is used. Since a patch is a basic element of triangular mesh creation, boundary curves of a patch are divided into line segments and the division of curves is applied for the interior of the surface. That is, boundary curves are subdivided into line segments and two end points of each line segment are propagated to the interior of the surface. For the case of a trimmed surface, triangulation is carried out using a model space information. The algorithm is superior because the number of elements can be controlled as the curvature of the surface varies and it generates the triangular mesh in a trimmed region efficiently. To verify the efficiency, the algorithm was implemented and tested for several 3D objects bounded by NURBS surfaces.

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An Optimization-based Computational Method for Surface Fitting to Update the Geometric Information of An Existing B-Rep CAD Model

  • Louhichi, Borhen;Aifaoui, Nizar;Hamdi, Mounir;BenAmara, Abdelmajid;Francois, Vincent
    • International Journal of CAD/CAM
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    • v.9 no.1
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    • pp.17-24
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    • 2010
  • For several years, researchers have focused on improving the integration of the CAD, CAM and Analysis through a better communication between the various analysis tools. This tendency to integrate the CAD/Analysis and automation of the corresponding processes requires data sharing between the various tasks using an integrated product model. We are interested in this research orientation to CAD/CAM/Analysis integration by rebuilding the CAD model (BREP), starting from the Analysis results (deformed mesh). Because this problem is complex, it requires to be split into several complementary parts. This paper presents an original interoperability process between the CAD and CAE. This approach is based on a new technique of rebuilding the CAD surface model (Nurbs, Bezier, etc.) starting from triangulation (meshed surface) as a main step of the BREP solid model. In our work, the advantages of this approach are identified using a centrifugal pump example.

An Implementation of Three-Dimensional STEP Data Viewer (삼차원 STEP 데이터 뷰어 개발)

  • Choi, Young;Yuh, Chang-Hun
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.9
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    • pp.54-61
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    • 1999
  • Three dimensional CAD data viewer helps a user to view and use many different types of CAD data without having costly programs that produced them loaded on their computers. A viewer for standard data formats such as STEP and IGES is more useful since most of the CAD systems provide translators for them. We developed a 3D CAD viewer for STEP AP203 solid and assembly data. In addition to the standard shading and assembly tree display, functions for 3D markups and measurement of distance and angles were implemented.

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