Shortest paths in simply connected regions in R2

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Approximate Shortest Homotopic Paths in Weighted Regions

Let P be a path between two points s and t in a polygonal subdivision T with obstacles and weighted regions. Given a relative error tolerance ε ∈ (0, 1), we present the first algorithm to compute a path between s and t that can be deformed to P without passing over any obstacle and the path cost is within a factor 1+ ε of the optimum. The running time is O( 3 ε2 knpolylog(k, n, 1 ε )), where k ...

متن کامل

Shortest path in a simply-connected domain having curved boundary

Given two distinct points S and E on a simply-connected domain (without holes) enclosed by a closed parametric curve, this paper provides an algorithm to find the shortest interior path (SIP) between the two points in the domain. SIP consists of portions of curves along with straight line segments that are tangential to the curve. The algorithm initially computes point-curve tangents and bitang...

متن کامل

Approximate shortest paths in moderately anisotropic regions

We want to find an approximate shortest path for a point robot moving in a planar subdivision. Each face of the subdivision is associated with a convex distance function that has the following property: its unit disk contains a unit Euclidean disk, and is contained in a Euclidean disk with radius ρ. Obstacles are allowed, so there can be regions that the robot is not allowed to enter. We give a...

متن کامل

Approxiamte Shortest Homotopic Paths in Weighted Regions∗

Let P be a path between two points s and t in a polygonal subdivision T with obstacles and weighted regions. Given a relative error tolerance ε ∈ (0, 1), we present the first algorithm to compute a path between s and t that can be deformed to P without passing over any obstacle and the path cost is within a factor 1 + ε of the optimum. The running time is O( 3 ε2 kn polylog(k, n, 1 ε )), where ...

متن کامل

Tiling simply connected regions with rectangles

Abstract. In 1995, Beauquier, Nivat, Rémila, and Robson showed that tiling of general regions with two rectangles is NP-complete, except for a few trivial special cases. In a different direction, in 2005, Rémila showed that for simply connected regions by two rectangles, the tileability can be solved in quadratic time (in the area). We prove that there is a finite set of at most 10 rectangles f...

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

ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 1989

ISSN: 0001-8708

DOI: 10.1016/0001-8708(89)90054-6