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3D Model Retrieval based on Normal Vector Interpolation Method 基于法向量插值法的三维模型检索
A. Kim, O. Gwun, Juwhan Song
In this paper, we proposed the distribution of meshnormal vector direction as a feature descriptor of a 3D model. Anormal vector shows the entire shape of a model well. Thedistribution of normal vectors was sampled in proportion to eachpolygon's area so that the information on the surface with less surfacearea may be less reflected on composing a feature descriptor in orderto enhance retrieval performance. At the analysis result of ANMRR,the enhancement of approx. 12.4%~34.7% compared to the existingmethod has also been indicated.
本文提出了网格法向量方向的分布作为三维模型的特征描述符。法向量显示了模型井的整个形状。法向量的分布按多边形面积的比例采样,使表面积较小的曲面上的信息在构成特征描述符时反映较少,从而提高检索性能。在ANMRR的分析结果中,近似的增强。与现有方法相比,也得到了12.4%~34.7%的结果。
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引用次数: 0
An Application of Differential Subordination to Analytic Functions 微分隶属性在解析函数中的应用
S. S. Billing, Sushma Gupta, S. Dhaliwal
the present paper, using the technique of differential subordination, we obtain certain results for analytic functions defined by a multiplier transformation in the open unit disc E = { z : IzI < 1}. We claim that our results extend and generalize the existing results in this particular direction
本文利用微分隶属技术,得到了开单位圆盘E = {z: IzI < 1}上由乘子变换定义的解析函数的若干结果。我们声称我们的结果在这个特定的方向上扩展和推广了现有的结果
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引用次数: 1
On the Comparison of Several Goodness of Fit tests under Simple Random Sampling and Ranked Set Sampling 简单随机抽样和排序集抽样下几种拟合优度检验的比较
F. A. Shahabuddin, K. Ibrahim, A. Jemain
Many works have been carried out to compare theefficiency of several goodness of fit procedures for identifyingwhether or not a particular distribution could adequately explain adata set. In this paper a study is conducted to investigate the powerof several goodness of fit tests such as Kolmogorov Smirnov (KS),Anderson-Darling(AD), Cramer- von- Mises (CV) and a proposedmodification of Kolmogorov-Smirnov goodness of fit test whichincorporates a variance stabilizing transformation (FKS). Theperformances of these selected tests are studied under simplerandom sampling (SRS) and Ranked Set Sampling (RSS). Thisstudy shows that, in general, the Anderson-Darling (AD) testperforms better than other GOF tests. However, there are somecases where the proposed test can perform as equally good as theAD test.
许多工作已经开展,以比较几种拟合优度程序的效率,以确定一个特定的分布是否可以充分解释数据集。本文研究了Kolmogorov-Smirnov (KS)、Anderson-Darling(AD)、Cramer- von- Mises (CV)等几种拟合优度检验的有效性,并提出了一种包含方差稳定变换的Kolmogorov-Smirnov拟合优度检验的修正方法。在简单随机抽样(SRS)和排序集抽样(RSS)下研究了这些选择的测试的性能。本研究表明,在一般情况下,安德森-达林(AD)测试表现优于其他GOF测试。然而,在某些情况下,建议的测试可以执行得和头部测试一样好。
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引用次数: 8
Gabriel-constrained Parametric Surface Triangulation 加布里尔约束参数曲面三角剖分
O. Ruiz, C. Cadavid, Juan G. Lalinde, Ricardo Serrano, G. Peris-Fajarnés
The Boundary Representation of a 3D manifold contains FACES (connected subsets of a parametric surface S : R2−R3) -- In many science and engineering applications it is cumbersome and algebraically difficult to deal with the polynomial set and constraints (LOOPs) representing the FACE -- Because of this reason, a Piecewise Linear (PL) approximation of the FACE is needed, which is usually represented in terms of triangles (i.e. 2-simplices) -- Solving the problem of FACE triangulation requires producing quality triangles which are: (i) independent of the arguments of S, (ii) sensitive to the local curvatures, and (iii) compliant with the boundaries of the FACE and (iv) topologically compatible with the triangles of the neighboring FACEs -- In the existing literature there are no guarantees for the point (iii) -- This article contributes to the topic of triangulations conforming to the boundaries of the FACE by applying the concept of parameter independent Gabriel complex, which improves the correctness of the triangulation regarding aspects (iii) and (iv) -- In addition, the article applies the geometric concept of tangent ball to a surface at a point to address points (i) and (ii) -- Additional research is needed in algorithms that (i) take advantage of the concepts presented in the heuristic algorithm proposed and (ii) can be proved correct
三维流形的边界表示包含FACES(参数曲面S的连通子集):R2−R3)—在许多科学和工程应用中,处理表示FACE的多项式集和约束(循环)是麻烦和代数上困难的—由于这个原因,需要FACE的分段线性(PL)近似,通常用三角形表示(即2-简单体)—解决FACE三角剖分问题需要产生高质量的三角形,这些三角形是:(i)独立于S的参数,(ii)对局部曲率敏感,(iii)与FACE的边界兼容,(iv)与相邻FACE的三角形拓扑兼容——在现有文献中,没有对这一点的保证(iii)——本文通过应用参数无关的Gabriel复形的概念,有助于符合FACE边界的三角剖分的主题。这提高了三角测量在(iii)和(iv)方面的正确性——此外,文章将切线球的几何概念应用于一点的表面,以解决(i)和(ii)点——需要在算法中进行额外的研究,(i)利用所提出的启发式算法中提出的概念,(ii)可以证明是正确的
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引用次数: 3
On Suborbital Graphs of the Congruence Subgroup r 0(N) 关于同余子群r0 (N)的亚轨道图
B. Ö. Güler, Serkan Kader, Murat Besenk
In this paper we examine some properties of suborbital graphs for the congruence subgroup r 0 (N) . Then we give necessary and sufficient conditions for graphs to have triangels.
本文研究了同余子群r0 (N)的亚轨道图的一些性质。然后给出了图有三角形的充分必要条件。
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引用次数: 8
N-Sun Decomposition of Complete, Complete Bipartite and Some Harary Graphs 完全图、完全二部图和一些哈拉图的N-Sun分解
R. Anitha, R. Lekshmi
Graph decompositions are vital in the study ofcombinatorial design theory. A decomposition of a graph G is apartition of its edge set. An n-sun graph is a cycle Cn with an edgeterminating in a vertex of degree one attached to each vertex. In thispaper, we define n-sun decomposition of some even order graphswith a perfect matching. We have proved that the complete graphK2n, complete bipartite graph K2n, 2n and the Harary graph H4, 2n haven-sun decompositions. A labeling scheme is used to construct the n-suns.
图的分解在组合设计理论的研究中是至关重要的。图G的分解是对其边集的分割。n-太阳图是一个循环Cn,它的边终止于与每个顶点相连的一次顶点。在本文中,我们定义了具有完美匹配的偶阶图的n-太阳分解。我们证明了完全图K2n,完全二部图K2n, 2n和哈拉图H4, 2n有太阳分解。使用标记方案来构造n-太阳。
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引用次数: 29
Differential Sandwich Theorems with Generalised Derivative Operator 广义导数算子的微分夹心定理
M. Darus, K. Al-Shaqsi
In this paper, a generalized derivatives operator λ,βf introduced by the authors will be discussed. Some subordination and superordination results involving this operator for certain normalized analytic functions in the open unit disk will be investigated. Our results extend corresponding previously known results. Keywords—Analytic functions, Univalent functions, Derivative operator, Differential subordination, Differential superordination.
本文讨论了作者引入的广义导数算子λ,βf。研究了该算子在开单位圆盘上对某些归一化解析函数的从属和从属结果。我们的结果扩展了相应的先前已知结果。关键词:解析函数,单价函数,导数算子,微分从属,微分上位。
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引用次数: 29
Simplex Method For Solving Linear Programming Problems With Fuzzy Numbers 求解模糊数线性规划问题的单纯形法
S. H. Nasseri, E. Ardil, A. Yazdani, Reza Zaefarian
The fuzzy set theory has been applied in many fields,such as operations research, control theory, and managementsciences, etc. In particular, an application of this theory in decisionmaking problems is linear programming problems with fuzzynumbers. In this study, we present a new method for solving fuzzynumber linear programming problems, by use of linear rankingfunction. In fact, our method is similar to simplex method that wasused for solving linear programming problems in crisp environmentbefore.
模糊集理论在运筹学、控制理论、管理科学等领域有着广泛的应用。特别是,该理论在决策问题中的一个应用是具有模糊数的线性规划问题。本文提出了一种利用线性排序函数求解模糊数线性规划问题的新方法。实际上,我们的方法类似于以前用于解决脆环境下线性规划问题的单纯形法。
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引用次数: 60
期刊
World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
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