Deterministic Linear Time Constrained Triangulation using Simplified Earcut
نویسندگان
چکیده
منابع مشابه
Finding the Constrained Delaunay Triangulation and Constrained Voronoi Diagram of a Simple Polygon in Linear Time
In this paper, we present an Θ(n) time worst-case deterministic algorithm for finding the constrained Delaunay triangulation and constrained Voronoi diagram of a simple n-sided polygon in the plane. Up to now, only an O(n logn) worst-case deterministic and an O(n) expected time bound have been shown, leaving an O(n) deterministic solution open to conjecture.
متن کاملConstrained Delaunay Triangulation using Plane Subdivision
This paper presents an algorithm for obtaining a constrained Delaunay triangulation from a given planar graph. The main advantage towards other algorithms is that I use an efficient Žalik’s algorithm, using a plane subdivison for obtaining a Delaunay triangulation. It is used for insertion of points into existing triangulation. The other part of algorithm presents a method for inserting edges, ...
متن کاملConstrained Delaunay Triangulation Using Delaunay Visibility
An algorithm for constructing constrained Delaunay triangulation (CDT) of a planar straight-line graph (PSLG) is presented. Although the uniform grid method can reduce the time cost of visibility determinations, the time needed to construct the CDT is still long. The algorithm proposed in this paper decreases the number of edges involved in the computation of visibility by replacing traditional...
متن کاملLinear-Time Delaunay Triangulations Simplified∗
Recently it was shown that — under reasonable assumptions — Voronoi diagrams and Delaunay triangulations of planar point sets can be computed in time o(n log n), beating the classical comparisonbased lower bound. A number of increasingly faster randomized algorithms have been proposed, most recently a linear-time algorithm based on a randomized incremental construction that uses a combination o...
متن کاملLinear Time Triangulation of Simple Polygons
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Visualization and Computer Graphics
سال: 2021
ISSN: 1077-2626,1941-0506,2160-9306
DOI: 10.1109/tvcg.2021.3070046