查询词典 interpolation function

Based on Bezier curve continuance of first－order and second－order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real－time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续，导出了两段Bezier曲线特征向量应满足的关系方程，Bezier插补法不仅在理论上可使所有的插补点落在曲线上，而且实时插曲补速度高，每次插补时可合理地选择参数增量，能使插补速度保证不变，也可控制弓高误差。

The work in this thesis is based on continued fraction theory. Combining continued fractions with polynomial functions, we construct a new osculatory continued fraction interpolation—osculatory rational Hermite-like interpolation. Its representation is simpler than that of Hermite polynomial interpolation and its computation is concise since the continued fractions coefficients can be worked out by using Viscovatov algorithm.

与之相关的理论成果不断地推陈出新，本文就是在连分式理论的基础上做了相应的工作，将多项式和连分式相结合，构造了一种新的切触有理插值——类Hermite切触有理插值，新的插值方法在表示形式上比传统的切触有理插值更直观，并且通过引入Viscovatov算法，切触插值连分式的系数求解得以简化。

In IBR (image-based rendering) application, we introduce homotopy mapping into view interpolation based on uncalibrated images, and present three forms of perspective homotopic transform according to different conditions.①The linear interpolation technique presented only preserves perspective geometry, but the intrinsic and extrinsic parameters of camera are changed. For the uncalibrated images, its application is restricted.②The view interpolation presented for rotational uncalibrated images can preserve both perspective geometry and the intrinsic parameters of camera, and the view position can be controlled. At meanwhile, the image registration method and panoramic images synthetic method is presented.

3在基于图象的绘制技术方面，将同伦变换引入视图插补中，针对未标定图象序列，并根据以下三种情况给出相应的透视同伦变换，①只保证符合透视关系，而摄象机内外参数均已改变的线性插补技术，对于标定图象序列，这种插补技术是非约束的，而对于未标定图象序列则只适合于某些特殊场景；②旋转图象序列的视图插补技术，同时给出了旋转图象序列的整合及全景图生成方法；③通过对非约束图象的预校正，完成平移情况下的视点插补。

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。

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。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。