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Journal of Computational Physics, ISSN 0021-9991, 12/2018, Volume 374, pp. 1239 - 1260
With Shape Aware Quadratures (SAQ), for a given set of quadrature nodes, order, and domain of integration, the quadrature weights are obtained by solving a... 
Moment fitting equations | Divergence theorem | Numerical integration | Shape sensitivity analysis | Topological sensitivity analysis | Octree/quadtree
Journal Article
JOURNAL OF COMPUTATIONAL PHYSICS, ISSN 0021-9991, 12/2018, Volume 374, pp. 1239 - 1260
With Shape Aware Quadratures (SAQ), for a given set of quadrature nodes, order, and domain of integration, the quadrature weights are obtained by solving a... 
Moment fitting equations | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Numerical integration | Shape sensitivity analysis | Octree/quadtree | SENSITIVITY | Divergence theorem | WEIGHTED NUMERICAL-INTEGRATION | RULES | PHYSICS, MATHEMATICAL | Topological sensitivity analysis | CUBATURE
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 02/2018, Volume 355, pp. 59 - 77
Journal Article
Computer Engineering and Design, ISSN 1000-7024, 06/2015, Volume 36, Issue 6, pp. 1565 - 1570
3d modeling and surfaces reconstructing methods for point cloud data were studied in detail. The octree space partitioning and NURBS surface reconstructing... 
Design engineering | Algorithms | Partitioning | Octrees | Quadtrees | Feasibility | Three dimensional models | Convergence
Journal Article
本研究主要的目的是要提出一種有效的線性編碼法,應用於二維圖形 的壓縮,並討論藉由多層平面影像於空間體積模型(Spatial Volumetric Model)建構之研究。空間體積模型資料的表示法普遍被應用在電腦視覺 、電腦輔助設計與製造、機器人運動碰撞偵測模擬、圖形識別….等。空... 
Quadtree | Linear-quadtree | geometric model | 四元樹 | 八元樹 | 幾何模型 | Octree | 線性四元樹 | 廣先搜尋 | Linear-octree | 線性八元樹 | Breadth-First traversal
Dissertation
精密工学会誌, ISSN 0912-0289, 1996, Volume 62, Issue 11, pp. 1557 - 1561
In this study, a new algorithm to search the shortest path of mobile robot between start and goal points in given environment is proposed. In the path search,... 
double stage FFT | octree | path search | L1 distance | minimum total distance method | collision domain | Inverted Template Method | rotation angle | collision-free domain | quadtree
Journal Article
近幾年來由於醫學影像技術的快速發展,醫學影像應用於臨床診斷(clinical diagn osis),手術計畫(surgical planning ),放射性治療(radiation therapy ), 十分地廣泛,而人體內器官任意截面的影像如何快速取得,是其中重要且不可缺的一... 
四元樹 | OBLIQUE-QUADTREE | QUADTREE | ARBITRARY-CROSS-SECTION | 醫學影像 | MEDICAL-IMAGES | OCTREE | 影像 | 截面影像 | IMAGES | 八元樹 | 斜狀四元樹 | 器官截面影像
Dissertation
在碰撞偵測的應用中,著重的是真實的效果與即時的計算;對於物體的模擬與近似,可利用許多簡單的幾何外形來模擬或使用階級結構的方法,儘管如此,對於以往的研究都有可予改進的空間,如加強實物的近似,或有關階級結構的編碼法則。... 
節點參考座標 | collision detetion | octree | 階級結構 | 碰撞偵測 | 八分樹 | 不連續方向多面體 | nodal reference coordinate | 四分樹 | quadtree | hierarchical data structure | k-dops
Dissertation
八元樹表示法已非常廣泛的應用在三維的實體模型塑造上。而一個立體實物則可視為 由一樣版平面沿特定軌跡掃描所構成之體積。本論文係在探討如何以旋轉掃描法建構 實物之相關研究,本文中提出兩種不同之建構法分別為〞區域旋轉掃描法(Region R otational Sweep )〞和〞外殼旋轉掃描法(Border... 
垂直平移掃描法 | 鏡像映射 | DIGIT-DIFFERENTIAL-ANALYZER | ORTHOGONAL-TRANSLATION-SWEEP | REGION-ROTATIONAL-SWEEP | SET-MEMBERSHIP-CLASSIFICATION | 區域旋轉掃描法 | 掃描法之限制 | 數位微量分析法 | 外殼旋轉掃描法 | 線性四元樹 | MIRROR-OPERATION | BORDER-ROTATIONAL-SWEEP | LINEAR-QUADTREE | LINEAR-OCTREE | 線性八元樹
Dissertation
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