Weak visibility polygons of NURBS curves inside simple polygons

Weak visibility polygons of NURBS curves inside simple polygons
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简单多边形内 NURBS 曲线的弱可见性多边形

DOI:
10.1016/j.cam.2013.07.006
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发表时间:
2014
影响因子:
2.4
通讯作者:
Wei Zeng
Wei Zeng
中科院分区:
数学2区
文献类型:
--
作者:
Lin Lu;Zhi-Jie Zhu;Binhai Zhu;Wei Zeng

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可见度计算在建筑设计、美术馆巡视、虚拟世界等应用中发挥着重要作用。本文提出了一种计算简单多边形内非均匀有理B-Spline(NURBS)曲线的弱可见多边形的算法。首先将NURBS曲线细分为三角形曲线。然后,我们通过剪切每条三角曲线的三角壳来计算每条三角曲线的WVP。最后,将所有三角曲线的WVP合并在一起,得到NURBS曲线的WVP。文中给出了分析和算例,验证了算法的有效性。
Visibility computation plays an important role in applications such as architectural design, art gallery patrolling and virtual worlds. In this paper, we present an algorithm to compute the weak visibility polygons (WVP) of Non Uniform Rational B-spline (NURBS) curves inside simple polygons. The NURBS curve is first subdivided into triangular curves. We then compute the WVP of each triangular curve by shearing that of its triangle hull. Finally, all triangular curves’ WVPs are merged together to obtain the WVP of the NURBS curve. Analysis and examples are given to show the performance of our algorithm.
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