• The KIPS Transactions:PartA
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• v.16A no.5
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• pp.319-326
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• 2009

Since string operations were applied to computational biology area, various data structures and algorithms for computing efficient string operations have been studied. The longest common substring problem is an operation to find the longest matching substring in more than two strings, and maximal repeat of string problem is an operation to find substrings repeated more than once in the given string. These operations are importantly used in the string processing area such as pattern matching and likelihood measurement. In this paper, we present algorithms to compute the longest common substring of two strings and to find the maximal repeat of string using three-dimensional $n{\times}n{\times}n$ processors on RMESH(Reconfigurable MESH). Our algorithms have O(1) time complexity.

• Proceedings of the Korean Information Science Society Conference
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• 1998.10b
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• pp.658-660
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• 1998

계층적 자료구조인 사진트리는 이진 영상을 표현하는데 매우 중요한 자료구조이다. 선형 사진트리는 사진트리를 메모리에 저장하는데 매우 효율적이므로 사진트리와 관련된 연산의 수행을 위해 많은 연구가 진행되어 왔다. 본 논문에서는 RMESH(Reconfigurable MESH) 구조에서 3-차원 n$\times$n$\times$n 프로세서를 사용하여 선형 사진트리로 표현된 이진 영상의 둘레 길이를 계산하는 상수 시간 알고리즘을 제안한다.

• The Transactions of the Korea Information Processing Society
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• v.6 no.1
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• pp.66-74
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• 1999

A linear quadtree representation as a way to store a quadtree is efficient to save space compared with other representations. It , therefore, has been widely studied to develop efficient algorithms to execute operations related with quadtrees. In this paper, we present algorithm to find neighbor blocks of binary images represented by linear quadtrees, using three-dimensional n${\times}$n${\times}$n processors on RMESH(Reconfigurable MESH). Pur algorithm have O(1) time complexity.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.20 no.2
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• pp.401-407
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• 2016

We can consider the following problems for two given points p and q in a simple polygon P. (1) Compute the set of points of P which are visible from both p and q. (2) Compute the set of points of P which are visible from either p or q. They are corresponding to the problems which are to compute the intersection and the union of two visibility polygons. In this paper, we consider algorithms for solving these problems on a reconfigurable mesh(in short, RMESH). The algorithm in [1] can compute the intersection of two general polygons in constant time on an RMESH with size O($n^3$), where n is the total number of vertices of two polygons. In this paper, we construct the planar subdivision graph in constant time on an RMESH with size O($n^2$) using the properties of the visibility polygon for preprocessing. Then we present O($log^2n$) time algorithms for computing the union as well as the intersection of two visibility polygons, which improve the processor-time product from O($n^3$) to O($n^2log^2n$).

• The Transactions of the Korea Information Processing Society
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• v.4 no.9
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• pp.2247-2258
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• 1997

Quadtree, which is hierarchical data structure, is a very important data structure to represent binary images. Since a linear quadtree representation as is a way to store a quadtree is efficient to save space compared with other representations. It is, however, complicated and takes a large amount of time to build the linear quadtree. In this paper, we present O(1) time a linear quadtree building algorithm for a $n{\times}n$ binary image using three-dimensional $n{\times}n{\times}n$ processors on RMESH structure. Our algorithm, by use of O(1) time collapsing algorithm and reported O(1) time sorting algorithm, is simpler and easier to understand than resently presented algorithm on PARBUS structure.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2017.10a
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• pp.627-629
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• 2017

There are a lot of research results on the problem of finding the union and intersection of n rectangles on a plane. Lipski와 Preparata(1981) presented a sequential algorithm with O(nlogn) time and O(nlogn) space for the problem of finding the union of rectangles whose sides are parallel to the coordinate axes[1]. Alevizos(2013) presented an improved O(nlogn) time and O(n) space algorithm for the same problem[2]. In this paper, we consider the problem of finding the union of iso-oriented rectangles such that the intersection of them is not an empty set. In this case, the union of the rectangles becomes a connected area, that is, an orthogonal polygon. In this paper, we propose a parallel algorithm that solves this problem in constant time in a reconfigurable mesh(in short, RMESH) model.

• The Transactions of the Korea Information Processing Society
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• v.5 no.7
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• pp.1746-1758
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• 1998

계층적 자료구조인 사진트리는 이진 영상을 표현하는데 매우 중요한 자료구조이다. 사진트리를 메모리에 저장하는 방법중 선형 사진트리 표현 방법은 다른 표현 방법과 비교할 때 저장 공간을 매우 효율적으로 절약할 수 있는 이점이 있기 때문에 사진트리와 관련된 연산의 수행을 위해 선형 사진트리를 사용하는 효율적인 알고리즘 개발에 많은 연구가 진행되어 왔다. 본 논문에서는 REMSH(Reconfigurable MESH) 구조에서 3-차원 n$\times$n$\times$n 프로세서를 사용하여 선형 사진트리로 표현된 이진 영상의 면적과 둘레 길이를 계산하는 알고리즘을 제안한다. 이 알고리즘은 0(1) 시간 복잡도를 갖는다.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2013.10a
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• pp.773-775
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• 2013

In this paper, we consider the problem for finding a vertex sequence of the directed cycle graph from the individual neighborhood information on a reconfigurable mesh(in short, RMESH). This problem can be solved in linear time using a sequential algorithm. However, it is difficult to develop a sublinear time parallel algorithm for the problem because of its sequential nature. All kinds of polygons can be represented by directed cycles, hence a solution of the problem may be used to solving problems in which a polygon should be constructed from the adjacency information for each vertex. In this paper, we present a constant time $n{\times}n^2$ RMESH algorithm for the problem with n vertices.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2014.05a
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• pp.795-797
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• 2014

The visibility polygon of a simple polygon P is the set of points which are visible from a visibility source in P such as a point or an edge. Since a visibility polygon is the set of points, the set operations such as intersection and union can be executed on them. The intersection(resp. union) of two visibility polygons is the set of points which are visible from both (resp. either) of the corresponding two visibility sources. As previous results, there exist O(n) time algorithms for the set operations of two visibility polygons with total n vertices. In this paper, we present $O(log^2n)$ time algorithms for solving the problems on a reconfigurable mesh with size $O(n^2)$.