• Proceedings of the Korean Information Science Society Conference
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• 2007.06b
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• pp.167-170
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• 2007

본 논문에서는 텍스춰매핑, 재메쉬화, 메쉬의 단순화와 모핑 및 압축 등 다양한 분야에 적용되는 메쉬분할 문제를 다룬다. 메쉬분할은 주어진 삼차원 메쉬를 서로 떨어진 집합(disjoint sets)으로 분할하는 것으로서 여러 연구자들에 의해 많은 연구 결과들이 제시되어 왔다. 본 논문에서는 삼차원 메쉬가 가지고 있는 기하학적 특성을 고려하여 메쉬를 분할하는 방법을 제시하고자 한다. 먼저 메쉬의 국부적 기하 특성인 곡률 정보와 전역적 기하 특성인 볼록성을 이용하여 삼차원 메쉬를 구성하는 첨예정점을 추출하였고, 이들간의 거리 정보를 이용하여 이 첨예정점들을 군집화(clustering)하였다. 최종 메쉬분할을 위해 분할된 첨예정점에 속하지 않는 나머지 정점들에 대해 거리 정보를 이용하여 군집화를 수행하였다. 본 논문에서 제안한 메쉬분할 방법을 검증하기 위해 벤치마크로 공개된 여러 메쉬 모델에 대해 실험하여 그 결과를 보여주었다.

• The KIPS Transactions:PartA
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• v.14A no.7
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• pp.435-442
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• 2007

This paper is concerned with the mesh segmentation problem that can be applied to diverse applications such as texture mapping, simplification, morphing, compression, and shape matching for 3D mesh models. The mesh segmentation is the process of dividing a given mesh into the disjoint set of sub-meshes. We propose a method for segmenting meshes by simultaneously reflecting global and local geometric characteristics of the meshes. First, we extract sharp vertices over mesh vertices by interpreting the curvatures and convexity of a given mesh, which are respectively contained in the local and global geometric characteristics of the mesh. Next, we partition the sharp vertices into the $\kappa$ number of clusters by adopting the $\kappa$-means clustering method [29] based on the Euclidean distances between all pairs of the sharp vertices. Other vertices excluding the sharp vertices are merged into the nearest clusters by Euclidean distances. Also we implement the proposed method and visualize its experimental results on several 3D mesh models.

• Journal of the Korea Computer Graphics Society
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• v.15 no.3
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• pp.19-26
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• 2009

In this paper, a new adaptive vertex clustering using a KD-tree is presented for 3D mesh partitioning. A vertex clustering is used to divide a huge 3D mesh into several partitions for various mesh processing. An octree-based clustering and K-means clustering are currently leading techniques. However, the octree-based methods practice uniform space divisions and so each partitioned mesh has non-uniformly distributed number of vertices and the difference in its size. The K-means clustering produces uniformly partitioned meshes but takes much time due to many repetitions and optimizations. Therefore, we propose to use a KD-tree to efficiently partition meshes with uniform number of vertices. The bounding box region of the given mesh is adaptively subdivided according to the number of vertices included and dynamically determined axis. As a result, the partitioned meshes have a property of compactness with uniformly distributed vertices.

• Journal of the Korea Computer Graphics Society
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• v.6 no.3
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• pp.25-34
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• 2000

본 논문에서는 점진적 메쉬의 보다 엄밀한 의미에서의 선택적 세분화 방법을 제안한다. 기존의 선택적 세분화 방법은 정점분할 및 에지붕괴 연산이 수행되기 위해서는 현재의 1-고리 이웃 상황이 점진적 메쉬 분석 단계에 기억해 놓은 1-고리 이웃과 같을 때만 올바로 동작하도록 되어 있는 증가적 방법이다. 이러한 증가적 방법은 메쉬의 부분적 해상도 변경을 하게 되면 인접한 부분의 해상도가 그 부분의 해상도를 좇아가게 되는 단점을 가지고 있다. 본 논문에서 제안하는 방법은 점진적 메쉬 표현이 가지는 정점의 계층적 구획화 성질에 기반한 것으로, 원하는 메쉬의 부분에 대해 해상도를 변경할 때, 인접 부분의 정점분할 및 에지붕괴 연산을 초래하지 않아 보다 엄밀한 의미에서의 점진적 메쉬의 선택적 세분화를 수행할 수 있다.

• The Journal of the Korea Contents Association
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• v.8 no.5
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• pp.94-103
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• 2008

In this paper, we adapt the $\kappa$-means clustering technique to segmenting a given 3D mesh. In order to avoid the locally minimal convergence and speed up the computing time, first we extract sharp vertices from the mesh by analysing its curvature and convexity that respectively reflect the local and global geometric characteristics from the viewpoint of cognitive science. Next the sharp vertices are partitioned into $\kappa$ clusters by iterated converging with the $\kappa$-means clustering method based on the geodesic distance instead of the Euclidean distance between each pair of the sharp vertices. For obtaining the effective result of $\kappa$-means clustering method, it is crucial to assign an initial value to $\kappa$ appropriately. Hence, we automatically compute a reasonable number of clusters as an initial value of $\kappa$. Finally the mesh segmentation is completed by merging other vertices except the sharp vertices into the nearest cluster by geodesic distance.

• Journal of Korea Game Society
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• v.12 no.2
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• pp.53-62
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• 2012

Visualizing a volume dataset with ray-casting which of visualization methods provides high quality image. However it spends too much time for rendering because the size of volume data are huge. Recently, various researches have been proposed to accelerate GPU-based volume rendering to solve these problems. In this paper, we propose an efficient GPU-based empty space skipping to accelerate volume ray-casting using octree traversal. This method creates min-max octree and searches empty space using vertex splitting. It minimizes the bounding polyhedron by eliminating empty space found in the octree traveral step. The rendering results of our method are identical to those of previous GPU-based volume ray-casting, with the advantage of faster run-time because of using minimized bounding polyhedron.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 2020.11a
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• pp.190-191
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• 2020

본 논문은 모델 분할 기법과 중복성 제거 기법을 통한 대용량 3차원 메쉬 모델의 고속 압축 기술에 관한 내용이다. 대용량 3차원 메쉬 모델의 비실시간 압축은 실시간 스트리밍 응용 시나리오에서 제약점으로 작용하고 있고, 본 논문에서는 인코딩 시간을 줄이기 위해 경량 메쉬 분할 방법을 통해 대용량 메쉬를 여러 개의 작은 메쉬로 분할하고, 각각의 분할된 메쉬를 병렬적으로 인코딩하여 처리 속도를 개선하였다. 또한, 메쉬 모델 내의 같은 기하학적 정보를 가진 중복된 정점들이 존재할 수 있으며, 중복된 정보를 제거하고 제거된 정점과 삼각형 표면 간의 연결 정보를 갱신하는 과정을 통해 메쉬 모델의 기하학적 정보를 유지하면서 압축 성능을 확보하였다.

• The Journal of the Korea Contents Association
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• v.9 no.5
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• pp.76-83
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• 2009

This paper presents a compression method for animated meshes or mesh sequences which have a shared connectivity and geometry streams. Our approach is based on static semi-regular mesh compression algorithm introduced by Khodakovky et al. Our encoding algorithm consists of two stages. First, the proposed technique creates a semi-regular mesh sequence from an input irregular mesh sequence. For semi-regular remeshing of irregular mesh sequences, this paper adapts the MAPS algorithm. However, MAPS cannot directly be performed to the input irregular mesh sequence. Thus, the proposed remesh algorithm revises the MAPS remesher using the clustering information, which classify coherent parts during the animation. The second stage uses wavelet transformation and clustering information to compress geometries of mesh sequences efficiently. The proposed compression algorithm predicts the vertex trajectories using the clustering information and the cluster transformation during the animation and compress the difference other frames from the reference frame in order to reduce the range of 3D position values.

• Journal of the Korea Society of Computer and Information
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• v.16 no.6
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• pp.179-186
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• 2011

This paper suggests the minimum number of vertex guards algorithm. Given n rooms, the exact number of minimum vertex guards is proposed. However, only approximation algorithms are presented about the maximum number of vertex guards for polygon and orthogonal polygon without or with holes. Fisk suggests the maximum number of vertex guards for polygon with n vertices as follows. Firstly, you can triangulate with n-2 triangles. Secondly, 3-chromatic vertex coloring of every triangulation of a polygon. Thirdly, place guards at the vertices which have the minority color. This paper presents the minimum number of vertex guards using dominating set. Firstly, you can obtain the visibility graph which is connected all edges if two vertices can be visible each other. Secondly, you can obtain dominating set from visibility graph or visibility matrix. This algorithm applies various art galley problems. As a results, the proposed algorithm is simple and can be obtain the minimum number of vertex guards.

• Land and Housing Review
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• v.14 no.1
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• pp.123-134
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• 2023

The BIM (Building Information Modeling) model created in the design stage can be used for prior review and schedule management for the construction stage. However, in the case of actual BIM application cases, additional work is required, such as creating a new model suitable for the construction stage, rather than using the 3D model in the design stage, due to the difference in the purpose of use between the design stage and the construction stage. Therefore, in this study, a division function of BIM model is proposed as a method of recycling it in the construction stage without a remodeling process. In addition, the application to the actual BIM model and the 4D CAD system linkage of the divided object and the comparison with the existing division method are used to verify the usability.