Add to ORKGIn the orthogonal range searching problem we store a set of input points S in a data structure; the answer to a query Q is a piece of information about points in Q∩S, e.g., the list of all points in Q∩S or the number of points in Q. In the colored (or categorical) range searching problem the set of input points is partitioned into categories; the answer to a query is a piece of information about categories of points in a query range. In this paper we describe several new results for one- and two-dimensional range searching problem. We obtain an optimal adaptive data structure for counting the number of objects in a three-sided range and for counting categories of objects in a one-dimensional range. We also obtain new results on color range ...
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, includ...
In this paper, we consider a variant of the color range reporting problem called color reporting wit...
Colored range queries are a well-studied topic in computational geometry and database research that,...
In colored range searching, we are given a set of n colored points in d ≥ 2 dimensions to store, and...
Abstract. Color (or categorical) range reporting is a variant of the or-thogonal range reporting pro...
In traditional colored range-searching problems, one wants to store a set of n objects with m distin...
© Timothy M. Chan, Qizheng He, and Yakov Nekrich; licensed under Creative Commons License CC-BY 36th...
We study range-searching for colored objects, where one has to count (approximately) the number of c...
In this paper we present new data structures for two extensively studied variants of the orthogonal ...
Range searching is one of the central problems in computational geometry, because it arises in many ...
In a generalized searching problem, a set S of n colored geometric objects has to be stored in a dat...
In colored range counting (CRC), the input is a set of points where each point is assigned a "color"...
Let S be a set of n points in d dimensions, such that each point is assigned a color. Given a query ...
AbstractIn this paper, we formulate two classes of problems, the colored range query problems and th...
Orthogonal range searches arise in many areas of application, most often, in database queries. Many ...
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, includ...
In this paper, we consider a variant of the color range reporting problem called color reporting wit...
Colored range queries are a well-studied topic in computational geometry and database research that,...
In colored range searching, we are given a set of n colored points in d ≥ 2 dimensions to store, and...
Abstract. Color (or categorical) range reporting is a variant of the or-thogonal range reporting pro...
In traditional colored range-searching problems, one wants to store a set of n objects with m distin...
© Timothy M. Chan, Qizheng He, and Yakov Nekrich; licensed under Creative Commons License CC-BY 36th...
We study range-searching for colored objects, where one has to count (approximately) the number of c...
In this paper we present new data structures for two extensively studied variants of the orthogonal ...
Range searching is one of the central problems in computational geometry, because it arises in many ...
In a generalized searching problem, a set S of n colored geometric objects has to be stored in a dat...
In colored range counting (CRC), the input is a set of points where each point is assigned a "color"...
Let S be a set of n points in d dimensions, such that each point is assigned a color. Given a query ...
AbstractIn this paper, we formulate two classes of problems, the colored range query problems and th...
Orthogonal range searches arise in many areas of application, most often, in database queries. Many ...
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, includ...
In this paper, we consider a variant of the color range reporting problem called color reporting wit...
Colored range queries are a well-studied topic in computational geometry and database research that,...