查询词典 interpolation quadrature formula

When an interpolation filter is designed, the edge exists in the image is acquired through the multi-directional edge detection and the analysis of the fake edge and the weak edge; the interpolation is correspondingly processed according to the motion state and the edge direction of the pixel point; the field resulted from the interpolation and the interpolated field are interlaced to form the non-interlaced video image.

在设计插值滤波器的时候，通过进行多方向的边缘检测以及对假边缘和弱边缘的分析，得到图像中存在的边缘，根据像素点的运动状态和边缘方向进行相应的插值，将插值得到的场与待插值场进行交织，形成逐行视频图像。

Secondly, the performance simulation and analysis of these methods such as linear interpolation polynomial interpolation,Spline-cubic interpolation and an improved dicision-directed are performed.

首先分析了基于维纳滤波理论的二维维纳滤波估计和两个级联的一维滤波器的信道估计方法。

So in this paper, first, the ELM is improved by taking the interpolation process under absolute coordinates, so that the horizontal interpolation could be taken in a horizontal plain of the same altitude, thus the problem of unreasonable interpolation sources is prevented.

所以本文首先对欧拉-拉格朗日方法作了改进，把其中的插值过程改在绝对坐标下进行，使得水平插值过程在同一高度的水平面内进行，从而克服了插值不合理的问题。

In addition, the linear interpolation problem is discussed, midpoint sampling interpolation and double-point sampling interpolation are provided. The convexconcave property of linear error is studied.

另外本文还研究了并联机床的线性插补问题，提出了中点采样插补法和双点采样插补法，文中对采样偏差的凹凸性进行了分析。

The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题，它广泛应用于多元函数列表，以及曲面的外形设计和有限元法等诸多领域，近年来多元多项式插值越来越受到人们的广泛关注，其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年，梁学章和吕春梅在文献[2]中借助代数几何中的有关理论，进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题，并应用Cayley ？

In the study on application of Geography Information System, spatial interpolation is a basic method for converting vector data model into grid data model, of which inverse distance interpolation and linear interpolation are widely used.

在GIS应用研究方面，空间插值是将矢量数据转换成栅格数据的一种基本方法，其中距离倒数插值和线性拟合插值等方法被广泛采用。

Spatial interpolation methods and principles of marine optical data based on GIS is researched, including inverse distance weighted interpolation, ordinary Kriging spherical model and exponential model interpolation.

研究基于GIS的海洋光学调查数据空间插值方法及其原理，主要探讨了反距离加权插值法、普通克里格法的球体模型和指数模型算法。

The research of both theories and practices of gridding in the dissertation shows that: Linear interpolation based on triangulation is simple computationally and fast, but its gridding results isn't smooth and its precision is low; Multiquardric method is also simple computationally with high precision and good effect, but its gridding is slow because it is based on global calculation; Minimum curvature method is fast with high precision and good effect, but its gridding quickly degrades over areas with sparse data control when grid spacing smaller than the actual grid spacing is used; Ordinary Kriging method is high-precision, but its gridding is slow because of large calculation; Inverse interpolation is a computationally fast, efficient and robust method with high accuracy and perfect effect, and its gridding results of different gridding orientations are basically identical. Inverse interpolation is suitable for thegridding of geophysical irregular data, especially for large-scale geophysical irregular data.

本文的方法研究和数据试验分析表明：基于三角网的线性插值法计算简单，速度快，但其网格化结果不光滑，精度不够；多元二次函数法计算简单，网格化精度高，效果良好，但它是基于全局计算的，计算速度较慢；最小曲率法计算速度快，网格化精度高，效果良好，但其在稀疏控制点的网格化容易出现振荡现象；普通克里格法网格化精度高，效果良好，但其计算量较大，一般计算速度慢；反插值法网格化计算稳定，速度快，精度高，效果好，而且在网格化方向不同的情况下其网格化精度效果都达到基本一致，适合于地球物理不规则分布数据的网格化，特别是大规模地球物理不规则分布数据的网格化。

The algorithm adopts classical bilinear interpolation algorithm in the area of image other than the edges;concurrently the stairway detection is further made according to the outcomes of Canny edge detection to sift out the horizontal and vertical edges which will not produce jaggies distortion;but in edge areas where severe jaggies distortion will occur when using classical algorithm,the stairway thinning-based interpolation algorithm is implemented.This interpolation algorithm keeps stairways from being enlarged when zooming out the image,hence the goal of reducing jaggies distortion is achieved.

该算法在图像的非边缘区域采用经典的双线性插值算法；同时根据Canny边缘检测的结果，进一步进行阶梯检测，滤除不会产生锯齿失真的竖直和水平边缘；而在使用经典算法会产生严重锯齿失真的边缘区域，运用基于阶梯细化的插值算法；该插值算法在放大图像的同时，抑制边缘中的阶梯被放大，从而达到减少锯齿失真的目的。

Boundary polynomial point interpolation mesh-free method and boundary radial point interpolation mesh-free method were presented, based on polynomial basis and radial basis respectively for transient eddy current analysis, and their interpolation shape functions satisfy the Kronecker delta function and the essential boundary conditions can be directly imposed on the boundary nodes. An example on analyzing transient eddy current of a square metal column was set to prove the validity of the proposed methods, and a comparison on accuracy between BPPIM and BRPIM was analyzed as well.

运用多项式点插值法和径向基点插值法构造形函数，推导了适合于工程电磁场瞬态涡流问题的多项式基点插值边界无单元方法和径向基点播值边界无单元方法，这两种方法的空间插值形函数满足Kronecker delta条件，从而强加边界条件可以直接施加在边界点上，以金属长方柱的瞬态涡流分析作为数值算例，证实了两种方法的正确性和有效性，并对两种基类的点插值法进行了精度分析和比较。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。