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The zonal translation networks on the unit sphere is constructed with the best approximation of spherical harmonic polynomials and the Riesz means. The Jackson theorem of approximation by such kind of zonal translation is established.

借助于球调和多项式的最佳逼近多项式和Riesz平均构造出了单位球面S上的带形平移网络,并建立了球面带形平移网络对LS(上标 q中函数一致逼近的Jackson型定理。

Image sequence of images for each frame along the horizontal and vertical direction integral projection formed two integral projection Vector and applications based on the one-dimensional gradient estimated translation technology, thereby obtaining accurate two-dimensional space on the volume of translation.

将图像序列中的每一帧图像分别沿水平和垂直方向进行积分投影形成两个积分投影向量,并应用基于梯度的一维平移估计技术处理,从而精确地获取二维空间上的平移量。

Based on Huygens principle,the translation of transmission light relative to incident light is analyzed in theory as the incident light parallels to the normal Nicol prism's long side,according to the propagation characteristics of e light in crystals.The beam translation of six species of improved Nicol prism are calculated.

从惠更斯原理出发,根据e光在晶体中的传播特性,从理论上详细分析了光线平行于常规尼科耳棱镜长边入射时透射光相对入射光的平移,并给出了6种改进形式尼科耳棱镜的光束平移。

The results indicate that for the same aperture Φ of the prism,Ahrens Nicol prism has the least beam translation,and Thompason inversed Nicol prism has the biggest beam translation.

结果表明:对于相同的棱镜孔径Φ,阿伦斯尼科耳棱镜产生的光束平移量最小,而汤普逊倒尼科耳棱镜产生的光束平移量最大。

After understanding the principle and related algorithm of parallel ray projection, I proposed Project-shift algorithm, that based on two steps: making a projection model and shifting other images.

在了解平行光投影性质及相关算法的基础上,利用这些特性,提出投影-平移最大密度投影算法,该方案主要通过建立投影模板和对每层图像的平移处理来完成。

Second, the author proves the transformation of parallel translation can make discrete data more smooth, so can revise prediction error.

其次,从实用的角度应用了一种平移技巧,并证明了这种平移变换确实可以提高离散数据的"光滑性",从而提高预报精度。

If P is a convex lattice polygon, and its pair-wise disjoint family of translates are also lattice polygons, whose union contains every lattice point, it is called a TLP .

若P为凸格点多边形,其内部边界不交平移覆盖平面格点集,则称之为可平移格点多边形TLP。记顶点数为v的TLP的内格点数的下确界为i ,得出i(5)=i(6)=1,i(7)=i(8)=4。

The influence on the effects of image de-noising and Compute complexity is discussed by altering the value of translation Invariant.

着重探讨平移不变小波去噪方法中平移量的选取对去噪效果以及计算复杂度的影响。

And then using mass center formula to calculate four parameters of translation axes and rotation coordinate, mathematic model is established.

然后采用重心公式计算出坐标平移旋转的4个参数,建立了坐标平移旋转的数学模型。

Most previous works are restricted to only translation and rotation transformation, while in this thesis, we analyze the GLCM properties of different 3D medical images under translation, rotation and rescaling and skewing.

前人的工作大多是仅限于平移和旋转变换,本文则全面分析了三维医学图像在平移、旋转、缩放和错切变换下的GLCM矩阵特征。

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