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高斯球     
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  gauss sphere
     A Level of Detail Model by Merging Near Coplanar Faces Based on Gauss Sphere
     基于高斯球的近似共面合并层次细节模型
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  “高斯球”译为未确定词的双语例句
     Calculation of International Geomagnetic Reference Field Using Gauss Method of Spherical Harmonic Analysis(PC—1500 Pocket Computer)
     利用高斯球谐分析方法计算国际参考场IGRF(PG—1500机)
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     1. We proposed a quad tree structure based on the norm vector sphere.
     1、提出了一个基于法向高斯球的四叉树层次数据索引结构,用于点云模型轮廓点的快速计算。
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     By testing hypothesis, the patterns of the normal curvature image and the Gaussian image are recognized.
     将栅格中测量点的几何属性值映射到法曲率坐标系和高斯球上,利用假设检验法识别映射点的分布模式;
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  相似匹配句对
     The Plasc Gaussian light scattering from a Double Layered Dielectric Sphere
     双层介质的弹性高斯光散射
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     The Gaussian beam transformation to refracted and reflected spherical surface
     折射和反射面对高斯光束的变换
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     A Remark on C. F. Gauss
     论高斯
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     Hard Alloy Sphere
     硬质合金
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     The Invention of Ball
     的发明
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  gauss sphere
Then Gauss mapping and rotate model is performed and at the same the Gauss sphere is rotated.
      
  gaussian sphere
An appropriate discretization of the Gaussian sphere and the Blaschke cylinder is used in the implementation.
      
An obvious disadvantage of this approach is that we lose information when going from the regression plane to the Gaussian sphere.
      
It computes the probability distribution of the surface normals of a 3D object over a Gaussian Sphere.
      
In this work, we employed the following method to decrease the search time of the closest vector on the Gaussian sphere.
      
Points from a planar face will give rise to nearly identical local regression planes and thus to a point cluster on the Gaussian sphere.
      
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This paper presents a new algorithm for shape from shading based on credibility. Futhermore, the enforcing integrability constraint in frequency field is involved to improve the iterative stability. The approach is developed in (f,g) space, rather than the gradient space, which is favariable for the determination of the boundary conditions.

提出了一种基于可信度操作的从灰度变化信息获取表面形状的方法,并结合在频率域的强制可积约束,把对表面梯度空间(p,q)的处理经过高斯球变换到(f,g)空间处理,不仅较好地保证了算法的收敛性和可靠性,而且有利于边界条件的确定。

?The projective space of complex objects under axonometric projection is 2D. It can be represented by means of the viewpoints located on a unit sphere, i.e. Gaussian sphere. The paper enumerates all the visual events encountered for the complex objects under axonometric projection. There are eight classes and sixteen subclasses of those events. An algorithm is given for computing all the visual events. 

本文首先指出复杂物体轴测投影形态图计算时的投影空间为二维空间,并以投影球(高斯球)模型作为轴测投影的投影空间模型。然后全面分析了复杂物体轴测投影视觉事件的形成和类型,提出其视觉事件有八类十六种。最后建立了各种视觉事件的确定方法和计算公式,从而为复杂物体轴测投影形态图的计算提供了理论根据。

Current research on aspect graph has been limited, to our best knowledge, to simple objects. We now extend it to complex objects encountered in applications. We present an algorithm for computing aspect graph of complex objects under perspective projection. We give a detailed analysis of the visual events for complex objects and the formulas to compute for parceling planes. Fig.1 shows three kinds of local singularities and Fig.2, four kinds of multi local singularities. The computation of aspect graph, discussed...

Current research on aspect graph has been limited, to our best knowledge, to simple objects. We now extend it to complex objects encountered in applications. We present an algorithm for computing aspect graph of complex objects under perspective projection. We give a detailed analysis of the visual events for complex objects and the formulas to compute for parceling planes. Fig.1 shows three kinds of local singularities and Fig.2, four kinds of multi local singularities. The computation of aspect graph, discussed in detail in section 4, is our main contribution. We disperse the view space into a set of points, and record the value of each visual event by 0 and 1 because parceling plane always divides the view space into two parts. By merging points whose values of visual events are equal, we can obtain an exact parcellation of view space into regions. Our solution reduces significantly computing complexity, and allows aspect graph of complex objects under perspective projection to be represented as a molecular structure graph as shown in Fig.3. In Fig.3, each node represents a region. Neighboring nodes, such as nodes 1 and 17, differ by one in value of visual events. Fig.4 shows aspects obtained for a complex object containing a prism and a cone with our algorithm on a PC386 in Turbo C ++ . Results show that our algorithm works with satisfactory stability.

全面分析并建立了复杂物体透视投影的视觉事件的确定方法和计算公式,视觉事件分为两类七种。文中提出用变半径高斯球表示三维透视投影空间,通过测试点对透视投影视觉事件的计算,可大大降低计算的复杂性;并且形态图的表示采用分子结构图表示,从而解决了透视投影空间的形态图的求解和表示。论文用实例——棱柱与圆锥相贯验证了该算法的有效性。

 
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