• Journal of KIISE:Computer Systems and Theory
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• v.29 no.12
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• pp.640-647
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• 2002

In this paper, we consider the problems related to the edge visibility on a reconfigurable mesh(in short, RMESH). The following basic problems related to the edge visibility are considered: First, determine if a given polygon is visible from a specific edge, Second, find all edges from which a given polygon is visible. Third, compute the visibility polygon from a specific edge of a given polygon. In this paper, we consider the following problem in order to solve these problems in constant time: given two edges e and f of a simple polygon p, compute the maximal interval of f which is visible from e. We present a constant time algorithm for the problem on an N-N RMESH, where N is the number of vertices of P. Applying the algorithm, we can solve the above three problems in a constant time on a reconfigurable mesh. Specially, we can solve the third problem in a constant time on an N-$N_2$ RMESH.

• The Transactions of the Korea Information Processing Society
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• v.5 no.11
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• pp.2845-2854
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• 1998

Median filter can be implemented in the binary domain based on threshold decomposition, stacking property, and linear separability. In this paper, we develop one-dimensional and two-dimensional parallel algorithms for the median filter on a reconfigurable mesh with buses(RMESH) which is suitable for VLSI implementation. And we evaluate their performance by comparing the time complexities of RMESH algorithms with those of algorithms on mesh-connected computer. When the length of M-valued 1-D signal is N and w is the window width, the RMESH algorithm is done in O(Mw) time and mesh algorithm is done in $O(Mw^2)$ time. Beside, when the size of M-valued 2-D image is $N{\times}N$ and the window size is $w{\times}w$, our algorithm on $N{\times}N$ RMESH can be computed in O(Mw) time which is a significant improvement over the $O(Mw^2)$ complexity on $N{\times}N$ mesh.

• Proceedings of the Korean Information Science Society Conference
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• 2000.10a
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• pp.548-550
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• 2000

본 논문은 재구성 가능한 메쉬(RMESH) 병렬 모델에서 상수 시간에 구멍이 있는 다각형의 한 점으로부터의 가시성 다각형을 구하는 문제를 고려한다. 알고리즘의 기본 전략은 프로세서의 수에 있어 준-최적인 상수 시간 알고리즘을 사용하여 문제의 크기를 감소시킴으로써 최적인 상수 시간 알고리즘을 얻는 것이다. 이 전략을 사용해 모두 N개의 에지로 구성된 구멍이 있는 다각형에 대한 가시성 다각형을 N$\times$N RMESH에서 상수 시간에 구하는 알고리즘을 제시한다. 이 알고리즘은 다각형들의 집합이 주어져 있을 때 외부의 한 점에서 가시 영역을 구하거나, 선분들의 집합이 주어져 있을 때 평면상의 한 점에서 가시 영역을 구하는 문제도 해결할 수 있다.

• Proceedings of the Korean Information Science Society Conference
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• 2001.10a
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• pp.607-609
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• 2001

본 논문에서는 단순 다각형의 두 에지 사이의 가시성 문제를 재구성가능한 메쉬(RMESH) 병렬 모델에서 상수 시간에 해결하기 위한 알고리즘을 고려한다. 두 에지 사이의 가시성은 네 가지 유형, 즉, 완전 가시성(complete visibility), 강 가시성(strong visibility), 약 가시성(weak visibility), 부분 가시성(partial visibility)으로 구분될 수 있다. 논문에서는 에지 가시성에 대한 여러 가지 성질들을 고찰하여 두 에지 사이의 모든 유형에 대한 가시성의 판별과 가시 영역을 구하는 상수 시간 N$\times$N RMESH 알고리즘을 제시한다.

• Journal of KIISE:Computer Systems and Theory
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• v.29 no.3
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• pp.134-142
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• 2002

Quadtree, which is a hierarchical data structure, is a very important data structure to represent binary images. The linear quadtree representation as a way to store a quadtree is efficient to save space compared with other representations. Therefore, it has been widely studied to develop efficient algorithms to execute operations related with quadtrees. The window operation is one of important geometry operations in image processing, which extracts a sub-image indicated by a window in the image. In this paper, we present an algorithm to perform the window operation of binary images represented by quadtrees, using three-dimensional $n{\times}n{\times}n$ processors on RMESH(Reconfigurable MESH). This algorithm has constant-time complexity by using efficient basic operations to route the locational codes of quardtree on the hierarchical structure of $n{\times}n{\times}n$ RMESH.

• Journal of KIISE:Computer Systems and Theory
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• v.26 no.11
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• pp.1344-1352
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• 1999

본 논문에서는 두 단순 다각형의 교차 영역을 구하는 문제를 재구성메쉬(RMESH) 상에서 상수 시간에 해결하는 두 개의 알고리즘을 제시한다. 먼저, 두 다각형이 모두 볼록 다각형일 때, N$\times$N RMESH에서 상수 시간에 교차 영역을 구하는 알고리즘을 제시한다, 여기서 N은 두 다각형의 정점의 개수의 합이다. 그리고, 두 일반적인 단순 다각형의 교차 영역을 구하는 문제에 대해서 (N+T)$\times$(N+T)2 RMESH에서 수행되는 상수 시간 알고리즘을 제시한다, 여기서 T는 최악의 경우 두 다각형의 경계선 상의 교차점의 개수로서 두 다각형의 정점의 개수가 각각 n과 m일 때 n.m에 해당한다. 두 다각형 중 하나가 볼록 다각형인 경우는 T = 2.max{n, m}이다. 이 알고리즘은 두 다각형의 모든 교차 영역 조각들을 구한 후 RMESH의 0번째 열에 차례로 배치해 준다. Abstract In this paper, we consider two constant time algorithms for polygon intersection problems on a reconfigurable mesh(in short, RMESH). First, we present a constant time algorithm for computing the intersection of two convex polygons on an N$\times$N RMESH, where N is the total number of vertices in both polygons. Second, we present a constant time algorithm for computing the intersection of two simple polygons on an (N+T)$\times$(N+T)2 RMESH, where T is the worstcase number of intersection points between the boundaries of them. T = n m, where n and m are the numbers of vertices of two polygons respectively. If either of them is convex, then T = 2 max{n,m}. The algorithm computes the intersection of them, and then arranges each intersection component onto the 0-th column of the mesh.

• Journal of KIISE:Computer Systems and Theory
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• v.31 no.1_2
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• pp.10-18
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• 2004

Quadtree, which is a hierarchical data structure, is a very important data structure to represent binary images. The linear quadtree representation as a way to store a quadtree is efficient to save space compared with other representations. Therefore, it has been widely studied to develop efficient algorithms to execute operations related with quadtrees. The operations of unaligned linear quadtrees, which are operations among the linear quadtrees with different origin, are able to perform the translated or rotated images efficiently. And this operations requires alignment of the linear quadtrees. In this paper, we present an efficient algorithm to perform alignment of unaligned linear quadtrees, using three-dimensional $n{\pm}n{\pm}n$ processors on RMESH(Reconfigurable MESH). This algorithm has constant-time complexity by using efficient basic operations to route the locational codes of quardtree on the hierarchical structure of $n{\pm}n{\pm}n$ RMESH.

• The KIPS Transactions:PartA
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• v.11A no.3
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• pp.173-180
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• 2004

Quadtree, which 11 a hierarchical data structure, is a very important data structure to represent images. The linear quadtree representation as a way to store a quadtree is efficient to save space compared with other representations. Therefore, it has been widely studied to develop efficient algorithms to execute operations related to quadtrees. The region expansion is an operation to expand images by a given distance and the scaling If an operation to scale images by a given scale factor. In this paper, we present algorithms to perform the region expansion and scaling of images represented by quadtrees, using three-dimensional n${\times}$n${\times}$n processors on RMESH(Reconfigurable MESH). These algorithms have constant time complexities by using efficient basic operations to route the locational codes of quadtree on the hierarchical structure of n${\times}$n${\times}$n RMESH.

• The KIPS Transactions:PartA
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• v.14A no.3 s.107
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• pp.151-158
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• 2007

Quadtree, which is a hierarchical data structure, is a very important data structure to represent images. The linear quadtree representation as a way to store a quadtree is efficient to save space compared with other representations. Therefore, it has been widely studied to develop efficient algorithms to execute operations related with quadtrees. The computation of block location is one of important geometry operations in image processing, which extracts a component completely including a given block. In this paper, we present a constant time algorithm to compute the block location of images represented by quadtrees, using three-dimensional $n\times n\times n$ processors on RMESH(Reconfigurable MESH). This algorithm has constant-time complexity by using efficient basic operations to deal with the locational codes of quardtree on the hierarchical structure of $n\times n\times n$ RMESH.

• The KIPS Transactions:PartA
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• v.10A no.3
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• pp.207-214
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• 2003

Quadtree, which is a hierarchical data structure, is a very important data structure to represent binary images. The linear quadtree representation as a way to store a quadtree is efficient to save space compared with other representations. Therefore, it has been widely studied to develop efficient algorithms to execute operations related with quadtrees. The linear translation is one of important operations in image processing, which moves the image by a given distance. In this paper, we present an algorithm to perform the linear translation of binary images represented by quadtrees, using three-dimensional $n{\times}n{\times}n$ processors on RMESH (Reconfigurable MESH). This algorithm has constant-time complexity by using efficient basic operations to route the locational codes of quardtree on the hierarchical structure of n${\times}$n${\times}$n RMESH.