• Computers and Concrete
• /
• 제23권5호
• /
• pp.311-320
• /
• 2019

The substructuring technique is one of the efficient methods for reducing computational effort and memory usage in the finite element method, especially in large-scale structures. Proper mesh partitioning plays a key role in the efficiency of the technique. In this study, new algorithms are proposed for mesh partitioning based on an element search technique. The computational cost function is optimized by aligning each element of the structure to a proper substructure. The genetic algorithm is employed to minimize the boundary nodes of the substructures. Since the boundary nodes have a vital performance on the mesh partitioning, different strategies are proposed for the few number of substructures and higher number ones. The mesh partitioning is optimized considering both computational and memory requirements. The efficiency and robustness of the proposed algorithms is demonstrated in numerous examples for different size of substructures.

• Structural Engineering and Mechanics
• /
• 제14권6호
• /
• pp.625-647
• /
• 2002

Parallel execution of computational mechanics codes requires efficient mesh-partitioning techniques. These mesh-partitioning techniques divide the mesh into specified number of submeshes of approximately the same size and at the same time, minimise the interface nodes of the submeshes. This paper describes a new mesh partitioning technique, employing Genetic Algorithms. The proposed algorithm operates on the deduced graph (dual or nodal graph) of the given finite element mesh rather than directly on the mesh itself. The algorithm works by first constructing a coarse graph approximation using an automatic graph coarsening method. The coarse graph is partitioned and the results are interpolated onto the original graph to initialise an optimisation of the graph partition problem. In practice, hierarchy of (usually more than two) graphs are used to obtain the final graph partition. The proposed partitioning algorithm is applied to graphs derived from unstructured finite element meshes describing practical engineering problems and also several example graphs related to finite element meshes given in the literature. The test results indicate that the proposed GA based graph partitioning algorithm generates high quality partitions and are superior to spectral and multilevel graph partitioning algorithms.

• Structural Engineering and Mechanics
• /
• 제14권1호
• /
• pp.57-70
• /
• 2002

This work presents an iterative mesh partitioning approach to improve the efficiency of parallel substructure finite element computations. The proposed approach employs an iterative strategy with a set of empirical rules derived from the results of numerical experiments on a number of different finite element meshes. The proposed approach also utilizes state-of-the-art partitioning techniques in its iterative partitioning kernel, a cost function to estimate the computational cost of each submesh, and a mechanism that adjusts element weights to redistribute elements among submeshes during iterative partitioning to partition a mesh into submeshes (or substructures) with balanced computational workloads. In addition, actual parallel finite element structural analyses on several test examples are presented to demonstrate the effectiveness of the approach proposed herein. The results show that the proposed approach can effectively improve the efficiency of parallel substructure finite element computations.

• Journal of Computing Science and Engineering
• /
• 제4권3호
• /
• pp.207-224
• /
• 2010

This paper presents a compression scheme for mesh geometry, which is suitable for mobile graphics. The main focus is to enable real-time decoding of compressed vertex positions while providing reasonable compression ratios. Our scheme is based on local quantization of vertex positions with mesh partitioning. To prevent visual seams along the partitioning boundaries, we constrain the locally quantized cells of all mesh partitions to have the same size and aligned local axes. We propose a mesh partitioning algorithm to minimize the size of locally quantized cells, which relates to the distortion of a restored mesh. Vertex coordinates are stored in main memory and transmitted to graphics hardware for rendering in the quantized form, saving memory space and system bus bandwidth. Decoding operation is combined with model geometry transformation, and the only overhead to restore vertex positions is one matrix multiplication for each mesh partition. In our experiments, a 32-bit floating point vertex coordinate is quantized into an 8-bit integer, which is the smallest data size supported in a mobile graphics library. With this setting, the distortions of the restored meshes are comparable to 11-bit global quantization of vertex coordinates. We also apply the proposed approach to compression of vertex attributes, such as vertex normals and texture coordinates, and show that gains similar to vertex geometry can be obtained through local quantization with mesh partitioning.

• 대한전자공학회:학술대회논문집
• /
• 대한전자공학회 2002년도 ITC-CSCC -3
• /
• pp.1507-1510
• /
• 2002

In this paper, we propose a sequential mesh cod- ing algorithm using the vertex pedigree based on the wave partitioning. After a mesh model is partitioned into several small processing blocks (SPB) using wave partitioning, we obtain vertices for each SPB along circumferences defined by outer edges of the attached triangles. Once all the vertices within each circumference are arranged into one line, we can encode mesh models

• 한국항공우주학회지
• /
• 제31권10호
• /
• pp.1-9
• /
• 2003

컴퓨팅 그리드 환경에서는 컴퓨팅 그리드 시스템을 구성하는 단위 시스템들의 성능이 균일하지 않기 때문에, 영역을 균등하게 분할하는 일반적인 로드밸런싱 기법을 적용하기가 적절하지 않다. 본 연구에서는 그래프 분할기법을 기반으로 하여, 컴퓨팅 그리드 시스템을 구성하는 단위 시스템들의 성능가중치를 계산하여 분할하는 2단계 영역 분할 기법을 제시하였다. 2단계 영역 분할 기법 시 발생하는 통신량의 증가는 그래프 분할기법인 WEVM을 적용하여 최소화 할 수 있었으며, 멀티 클러스터 환경과 WAN에서 타당성과 효율성을 검증해 보았다.

• 대한전자공학회논문지SP
• /
• 제40권6호
• /
• pp.132-140
• /
• 2003

본 논문에서는 삼차원 모델을 효율적으로 전송하기 위해, 삼차원 메쉬 모델을 계층적으로 표현하고 보는 사람의 시점에 따라 메쉬 모델의 해상도를 다르게 하여 전송하는 방법을 제안한다. 제안한 방법은 점진적 메쉬 전송과 순차적 메쉬 전송이 결합된 형태로 보는 사람의 현재 시점을 고려하여 삼차원 모델을 전송하는 것이다. 보는 사람의 시각 위치에 따라 전송할 때, 보이지 않는 부분보다 보이는 부분을 먼저 전송하여 제한된 전송대역 안에서 삼차원 모델의 품질을 최적화 할 수 있다. 먼저 주어진 삼차원 메쉬 모델을 계층적으로 메쉬 분할하고 최하위 레벨의 분할메쉬에 대해 다중계층을 구성한다. 메쉬분할을 위한 시작꼭지점은 K-means 알고리즘을 사용하여 선택하기 때문에, 메쉬분할 과정에서 균등한 분할메쉬를 얻을 수 있다. 보는 사람의 시점에 따라 최하위 레벨의 각 분할메쉬에 대해서 해상도를 계산한 후, 병합과 분리과정을 통해 삼차원 메쉬 모델을 전송한다. 분할메쉬 병합과정은 삼차원 메쉬의 정적시각 전송에 이용피고, 메쉬분할로 생기는 공통 경계 정보를 줄일 수 있다. 분할메쉬 분리과정은 삼차원 메쉬의 동적시각 전송에 이용되고, 보는 사람의 시점에 따라 새롭게 보이는 분할메쉬에 대해 추가적인 정보를 유동적으로 전송한다.

• Journal of Information Processing Systems
• /
• 제7권1호
• /
• pp.85-92
• /
• 2011

This paper shows an effective partitioning of static global row/column buses for tightly coupled 2D mesh-connected small processor arrays ("mesh", for short). With additional O(n/m (n/m + log m)) time slowdown, it enables the mesh of size $m{\times}m$ with static row/column buses to simulate the mesh of the larger size $n{\times}n$ with reconfigurable row/column buses ($m{\leq}n$). This means that if a problem can be solved in O(T) time by the mesh of size $n{\times}n$ with reconfigurable buses, then the same problem can be solved in O(Tn/m (n/m + log m)) time on the mesh of a smaller size $m{\times}m$ without a reconfigurable function. This time-cost is optimal when the relation $n{\geq}m$ log m holds (e.g., m = $n^{1-\varepsilon}$ for $\varepsilon$ > 0).

• 한국CDE학회논문집
• /
• 제9권4호
• /
• pp.382-386
• /
• 2004

This paper presents an algorithm for the triangular mesh intersection problem. The key aspect of the proposed algorithm is to reduce the number of triangle pairs to be checked for intersection. To this end, it employs two different approaches, the Y-group approach and the space partitioning approach. Even though both approaches have the same objective of reducing the number of triangular-triangular intersection (TTI) pairs, their inherent characteristics are quite different. While the V-group approach works by topology (reduces TTI pairs by guaranteeing no intersection among adjacent triangles), the space partitioning approach works by geometry (reduces TTI pairs by guaranteeing no intersection among distant triangles). The complementary nature of the two approaches brings substantial improvement in reducing the number TTI pairs.

• 한국멀티미디어학회논문지
• /
• 제13권12호
• /
• pp.1748-1759
• /
• 2010

We extend the octree subdivision process from Cartesian coordinates to spherical coordinates to develop more efficient space-partitioning structure for surface models. As an application of the proposed structure, we apply the octree subdivision in spherical coordinates ("S-Octree") to geometry compression in progressive mesh coding. Most previous researches on geometry-driven progressive mesh compression are devoted to improve predictability of geometry information. Unlike this, we focus on the efficient information storage for the space-partitioning structure. By eliminating void space at initial stage and aligning the R axis for the important components in geometry information, the S-Octree improves the efficiency in geometry information coding. Several meshes are tested in the progressive mesh coding based on the S-Octree and the results for performance parameters are presented.