Touring a Sequence of Weighted Polygons

نویسندگان

  • Amir Hedayaty
  • Mohammad Ghodsi
چکیده

In this paper we will solve a generalization of the problem “Touring a Sequence of Polygons” where polygons can be concave and a weight is considered when visiting them. The main idea to solve the problem is triangulation of the polygons and adding some Steiner on the edges. We will also use a modified version of BUSHWHACK algorithm to find the shortest path among Steiner points. The running time of the algorithm will be O( log 1 (logn + log 1 )).

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Approximate Algorithms for Touring a Sequence of Polygons

Given two points p and q and a finite number of simple polygons in a plane. The basic version of a touring-a-sequence-of-polygons problem (in brief: a touring polygons problem, TPP) is how to find a shortest path such that it starts at p, then it visits these polygons in the given order, and finally it ends at q. This paper describes approximate algorithms for different versions of touring poly...

متن کامل

On The Watchman Route Problem and Its Related Problems

We propose to study the watchman route problem and its related problems. The watchman route problem asks a shortest closed path within a given polygon so that every point in the polygon is visible from at least one point on the path. We first discuss the watchman route problem for simple polygons, for polygonal domains, and for arrangements of lines and line segments. We then focus on a problem...

متن کامل

Touring a Sequence of Line Segments in Polygonal Domain Fences

In this paper, we consider the problem of touring a sequence of line segments in presence of polygonal domain fences. In this problem there is a sequence S = (s = S0, . . . , Sk, Sk+1 = t) in which s and t are respectively start and target points and S1, . . . , Sk are line segments in the plane. Also, we are given a sequence F = (F0, . . . , Fk) of planar polygonal domains called fences such t...

متن کامل

A New Algorithm for the Shortest Path of Touring Disjoint Convex Polygons

Given a start point s, a target point t, and a sequence of k disjoint convex polygons in the plane, finding the shortest path from s to t which visits each convex polygon in the given order is our focus. In this paper, we present an improved method to compute the shortest path based on the last step shortest path maps by Dror et al. Instead of using of point location in previous algorithm, we p...

متن کامل

Approximate shortest path algorithms for sequences of pairwise disjoint simple polygons

Assume that two points p and q are given and a finite ordered set of simple polygons, all in the same plane; the basic version of a touring-a-sequence-of-polygons problem (TPP) is to find a shortest path such that it starts at p, then visits these polygons in the given order, and ends at q. This paper describes four approximation algorithms for unconstrained versions of problems defined by tour...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008