Finding Pairwise Intersections Inside a Query Range

نویسندگان
چکیده

برای دانلود رایگان 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

Finding Pairwise Intersections of Rectangles in a Query Rectangle

We consider the following problem: Preprocess a set S of n axis-parallel boxes in R so that given a query of an axis-parallel box in R, the pairs of boxes of S whose intersection intersects the query box can be reported efficiently. For the case that d = 2, we present a data structure of size O(n log n) supporting O(log n+ k) query time, where k is the size of the output. This improves the prev...

متن کامل

Pairwise intersections and forbidden configurations

By symmetry we can assume a ≥ d and b ≥ c. We show that fm(a, b, c, d) isΘ(ma+b−1) if either b > c or a, b ≥ 1. We also show that fm(0, b, b, 0) is Θ(m) and fm(a, 0, 0, d) is Θ(m). This can be viewed as a result concerning forbidden configurations and is further evidence for a conjecture of Anstee and Sali. Our key tool is a strong stability version of the Complete Intersection Theorem of Ahlsw...

متن کامل

Finding and enumerating large intersections

We study the calculation of the largest pairwise intersections in a given set family. We give combinatorial and algorithmic results both for the worst case and for set families where the frequencies of elements follow a power law, as words in texts typically do. The results can be used in faster preprocessing routines in a simple approach to multi-document summarization.

متن کامل

Geometric Motion Planning: Finding Intersections

We investigate a new model for mobile agents: Motion planning with geometric primitives, similar to rulerand-circle constructions in classical geometry. In this first paper on this subject, we consider finding intersection points between two geometric objects using mobile agents that move on these objects. This amounts to finding the rendezvous point of the two agents.

متن کامل

Finding a source inside a sphere

A sphere excited by an interior point source or a point dipole gives a simplified yet realistic model for studying a variety of applications in medical imaging. We suppose that there is an exterior field (transmission problem) and that the total field on the sphere is known. We give analytical inversion algorithms for determining the interior physical characteristics of the sphere as well as th...

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: Algorithmica

سال: 2017

ISSN: 0178-4617,1432-0541

DOI: 10.1007/s00453-017-0384-3