查询词典 linear interpolation

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。

There are some mature curve fitting methods in the reverse engineering, such as Lagrange interpolation, piecewise polynomial interpolation, least square method and spline interpolation.

成熟的曲线拟合方法有拉格朗日插值法、分段多项式插值法、最小二乘法和样条曲线插值法等，本文在分析各自优缺点的基础上，提出选用三次样条曲线拟合法。

Romberg first use of the method is integral for integration, Then the results obtained by using the interpolation method were obtained Lagrange polynomial interpolation polynomial interpolation and Newton, re-use of least squares fitting of thinking obtained polynomial, the last of these different types of polynomial, identify their respective strengths and weaknesses.

首先运用Romberg积分方法对给出定积分进行积分，然后对得到的结果用插值方法，分别求出Lagrange插值多项式和Newton插值多项式，再运用最小二乘法的思想求出拟合多项式，最后对这些不同类型多项式进行比较，找出它们各自的优劣。

For the interpolation problems in which the nodes are on one or more algebraic manifolds, we pointed out the interpolation bases of the lowest degree w.r.t.a graded term order and gave a new algorithm. We also gave a estimation for the degree of the interpolation polynomial.

我们针对插值节点位于一个或几个代数流形上的插值问题，从理论上指出了插值问题在某一分次序下最低次的插值基并给出了新的算法，同时也对插值多项式的次数作了估计。

The error compensation is introduced in the interpolation algorithm to increase the interpolation point's solution precision in the cutting direction of the parametric curved surface. The reasonable simplification of the computed result of the interpolation point's parameter value is carried in the operation process by focusing on the character that curvature of slow-varying parametric curved surface changed slowly and the feature that the scanned profile of translational scanned curved surface is parallel along the scanned line.

通过引入误差补偿值以提高参数曲面在走刀方向上插补点的计算精度，针对缓变参数曲面曲率缓变和平移扫描曲面扫描轮廓沿扫描线平行的特点在运算过程中对插补点参数值的计算结果进行合理简化。

Thirdly, interpolation equation, polynomial interpolation filter and interpolation control for timing adjustment are studied.

最后针对定时调整算法，研究了插值等式、多项式插值滤波器及插值控制，模拟了插值环路的性能。

In this paper,a new adaptive image interpolation method based on edge,introducing rectangular interpolation and quincunx interpolation,putting forward the gradient weight function,motivated by the work of Nira Shezaf et al.,is presented.

引入了一种改进的保留图像边缘特征的自适应缩放插值方法，在Nira Shezaf等人提出的自适应插值算法的基础上进行了改进。

The significance of rational interpolation of NURBS curve is obvious. But people often adopt non-rational interpolation. The study of rational interpolation is very little.

有理插值在构造NURBS曲线曲面以进行形状表示与设计中有着重要的意义，但是目前大多数都采用相对简单的非有理插值，关于复杂的有理插值的研究不多。

In this paper, thereare four sections. In the first section, we introduce the basic theory. Inthe second section, we give out the recent main results of multivariateLagrange interpolation. In the third section, we get some theories ofno posed set of nodes from a kind of recursive method of constructingposed set of nodes for bivariate Lagrange interpolation, and we get akind of abnormal posed set of nodes for interpolation form the reversethought of that theory.

本文共分为四章，第一章介绍了有关多元插值的基本理论和方法，第二章讲述了有关多元Lagrange插值和多元切触插值的近期主要结果，第三章我们从有关适定结点组的添加曲线法考虑，得到了一些有关Lagrange插值不适定的结论，并从该结论的反方向思考，得到了一种非常规型插值适定结点组。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。