Nonobtuse triangulation of polygons
نویسندگان
چکیده
منابع مشابه
Fast Triangulation of Simple Polygons
We present a new algorithm for triangulating simple polygons that has four advantages over previous solutions [GJPT, Ch]. a) It is faster: Whilst previous solutions worked in time O(nlogn), the new algorithm only needs time O(n+rlogr) where r is the number of concave angles of the polygon. b) It works for a larger class of inputs: Whilst previous solutions worked for simple polygons, the new al...
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We propose the triangulation axis as an alternative skeletal structure for a simple polygon P . This axis is a straight-line tree that can be interpreted as an anisotropic medial axis of P , where inscribed disks are line segments or triangles. The underlying triangulation that specifies the anisotropy can be varied, to adapt the axis so as to reflect predominant geometrical and topological fea...
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Triangulation of 3D polygons is a well studied topic of research. Existing methods for finding triangulations that minimize given metrics (e.g., sum of triangle areas or dihedral angles) run in a costly $O(n^4)$ time \cite{Barequet95,Barequet96}, while the triangulations are not guaranteed to be free of intersections. To address these limitations, we restrict our search to the space of triangle...
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From the early days of computational geometry, practitioners have looked for faster ways to triangulate a simple polygon. Several near-linear time algorithms have been devised and implemented. However, the true linear time algorithms of Chazelle and Amato et al. are considered impractical for actual use despite their faster asymptotic running time. In this paper, I examine the latter of these i...
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Decomposing simple polygon into simpler components is one of the basic tasks in computational geometry and its applications. The most important simple polygon decomposition is triangulation. Different techniques for triangulating simple polygon were designed. The first part of the paper is an overview of triangulation algorithms based on diagonal inserting. In the second part we present algorit...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 1988
ISSN: 0179-5376,1432-0444
DOI: 10.1007/bf02187904