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首页> 外文期刊>Applications of Mathematics >RELATION BETWEEN ALGEBRAIC AND GEOMETRIC VIEW ON NURBS TENSOR PRODUCT SURFACES
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RELATION BETWEEN ALGEBRAIC AND GEOMETRIC VIEW ON NURBS TENSOR PRODUCT SURFACES

机译：NURBS张量积曲面的代数和几何视图之间的关系

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摘要

NURBS (Non-Uniform Rational B-Splines) belong to special approximation curves and surfaces which are described by control points with weights and B-spline basis functions. They are often used in modern areas of computer graphics as free-form modelling, modelling of processes. In literature, NURBS surfaces are often called tensor product surfaces. In this article we try to explain the relationship between the classic algebraic point of view and the practical geometrical application on NURBS.
机译：NURBS（非均匀有理B样条曲线）属于特殊的近似曲线和曲面，由具有权重和B样条曲线基函数的控制点描述。它们经常在现代计算机图形学领域中用作自由格式建模，流程建模。在文献中，NURBS曲面通常称为张量积曲面。在本文中，我们试图解释经典代数观点与NURBS上实际几何应用之间的关系。

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  • 来源
    《Applications of Mathematics》 |2010年第5期|p.419-430|共12页
  • 作者

    Dalibor Martisek; Jana ProchAzkova;

  • 作者单位

    Brno University of Technology, Faculty of Mechanical Engineering, Institute of Mathematics, Dept. of Computer Graphics and Geometry, Technicka 2, 616 69 Brno, Czech Republic;

    rnBrno University of Technology, Faculty of Mechanical Engineering, Institute of Mathematics, Dept. of Computer Graphics and Geometry, Technicka 2, 616 69 Brno, Czech Republic;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    tensor product surface; bilinear form; B-spline; NURBS;

    机译：张量积表面;双线性形式B样条纽伯斯;

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