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线性插值法

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The fundamental principle of barometry was theoretically analyzed; the function between air pressure and actual altitude above sea-level in certain height range was derived; the algorithm adapted to MCU realiza...

本文从理论上分析了气压测高的基本原理,推算了在一定高度空间内,大气压力与实际海平面高度值的关系函数,使用最小二乘法和线性插值法推算适应单片机处理的算法,并且保证了计算结果的误差范围,分析了各种误差可能对结果产生的影响。

The results show that compared with traditional table looking up and interpolation method, using BP neural network can achieve a bettor control effect.

从比较的结果可知,BP神经网络的控制效果要优于传统的线性插值法

By remove the outer corner, it can get the best transformation matrix. Finally, the thesis use backward mapping and bilinear interpolation function to execute interpolation calculation in image merge. And then it use overlapped area linear transition method to build a seamless integrated image.

最后通过使用后向映射和双线性插值法在图像合并过程中进行插值运算,并使用重叠区域线性过渡算法来消除图像拼接缝,实现图像之间的无缝拼接。

This is a linear interpolation method on a typical application, has a certain reference value.

详细说明:这是关于线性插值法的典型应用,有一定参考价值。

This paper has discussed four different gridding methods in space domain, i.e., linear interpolation, multiquadric function, ordinary Kriging and inverse interpolation. The calculation of these gridding methods is illustrated by both theoretical model and real aeromagnetic data examples.

文中介绍了线性插值法、多元二次函数法、普通克里格法、反插值法等4种空间网格化法的原理,并利用这些网格化方法进行了理论模型和实际航磁数据的试验分析。

This dissertation firstly introduces the principles of four kinds of simple gridding methods, which are"Linear interpolation based on triangulation","Inverse distance weighted and averaged method","Modified Shepard's method"and"Multiquardirc method". Secondly, it researches the Ordinary Kriging method for geophysical irregular data, which mainly includes the base knowledge of region change and variogram and the principle of Ordinary Kriging method. Thirdly, it researches the Inverse Interpolation for geophysical irregular data, which mainly includes the principle of inverse interpolation and its iterative algorithm, and the principle of Inverse Interpolation to realize the gridding of geophysical data. Finally, it uses these gridding methods to grid theoretical model data of potential field and raw aeromagnetic data, and compares and analyzes the gridding results.

本文首先简单介绍了地球物理不规则分布数据的四种简单网格化方法(即基于三角网的线性插值法、反距离加权平均法、改进的Shepard方法和多元二次函数法)的方法原理;接着,重点研究了地球物理不规则分布数据网格化的普通克里金法,主要研究了区域变化量、变差函数的基础知识和普通克里金法的方法原理;之后,重点研究了地球物理不规则分布数据网格化的反插值法,主要研究了反插值法的方法原理和迭代求解算法,以及反插值法实现地球物理数据网格化的原理;最后,应用这些方法对理论位场模型和实际航磁数据进行了试验、对比和分析。

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 first, do the research on pressure automatically generating device and control method, put forward a kind of standard pressure method of certain steps, and could occurrence pressure accurate, fast, stabilize and have no super adjust of creation which is pressure calibration instrument need; The second, aim at present conditions that a great deal of transducer and pointer gauges are all of applied, the automatically read system is researched, the automatical read system of pointer gauge become true by the method of image processing; The third, do the research on the temperature drift of standard pressure sensor, and carrying on the temperature compensation by linear of vicariate interpolation for improving measure accuracy.

采用图象处理的方法实现了对指针式压力仪表示值的自动判读;三是对标准传感器的温度漂移特性进行了研究,采用二元线性插值法进行补偿,以提高标准传感器的测量精度。

Having analysed the localization of several typical methods for traveltime computation(finite difference method,linear interpolation method and so on) in briefly,authors put forward a method for traveltime computation based on nonlinear interpolation ,and deduced its calculation formula.

在简要分析目前最典型的几种地震波旅行时计算方法(如有限差分法、线性插值法等)局限性的基础上,提出了一种基于非线性插值的地震波旅行时计算方法,并推导了其计算公式。

To demodulate the OFDM signals accurately, channel estimation algorithms are adopted. This paper examines the slow-fading estimation algorithms based on block pilot arrangement: LS and LMMSE algorithms, as well as the fast-fading channel estimation algorithms based on comb-type pilot arrangement: linear and transform domain interpolation algorithms.

本文分析了导频分布的两种方案:1块状导频分布,对基于块状导频分布方案的慢衰落信道估计算法:最小平方和线性最小均方误差算法进行了计算机仿真,比较了二者的估计性能,以及各自的优缺点;2梳状导频分布,对基于这种分布方案的快衰落信道估计算法进行了研究,对两类经典算法:线性插值法和基于变换域的插值法分别进行了理论分析和计算机仿真。

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