三次样条插值

基于三次样条插值的IRFPA非均匀性校正算法

Nonuniformity Correction Algorithms of IRFPA Based on Cubic Spline Function

以此结合Matlab工具箱中三次样条插值函数和一般多项式插值函数分别进行编程，并就工程实例进行了水轮机特性曲线的转换与绘制。

In light of combining the cubic spline functions in the toolbox of Matlab and the ordinary polynomial interpolation functions , proceed on compiler respectively , and taking one project as an example , carry out drawing and transition characteristic curves of hydraulic turbines .

构造三次样条插值的B网方法

B net method to construct cubic spline interpolations

本文应用MATLAB语言对常用的四种插值方法做了比较，结果表明，三次样条插值是最佳插值方法。

Based on MATLAB , four interpolation methods are compared in this article , and results show that cubic spline interpolation performs best .

提高BOC调制信号多相关峰值精度的三次样条插值法

Improving BOC Modulation Signal Multi-correlation Peak Measurement Precision by Cubic-spline Interpolation

本文给出样条函数C连续性条件的B网表示，运用设表示，建立了构造三次样条插值的B网方法。

In this paper , B net representations of C ~ r Smoothness conditions for splines are given . Using the representations , B net method to construct cubic spline interpolations is established .

其中，代数插值采用了三次样条插值和分段Hermite插值，分别介绍了它们的插值公式的构造方法和插值误差估计的表达式。

Algebraic interpolation mainly composes of cubic interpolation and piecewise Hermite interpolation , and their interpolation formula and errors are introduced .

结果表明：三次样条插值法和BP神经网络法对不等时距序列进行等时距转换较为合理，BP神经网络法尤为理想。

The results showed that : the cubic spline interpolation and BP neural networks are more reasonable in the unequal time interval conversion , the method of the BP neural network is the most precise .

同时，根据曲线拟合原理，运用Matlab软件中的曲线拟合工具箱，进行了多项式、分段多项式及三次样条插值拟合。

Meanwhile , according to the principle of curve fitting , using the curve fitting toolbox of Matlab software , the mapping data have been fitted by polynomial , piecewise polynomial and cubic spline interpolation principle .

同时以LSSVM回归方式形成包络线，以取代传统EMD中的三次样条插值；

The upper and lower envelopes are constructed by using LSSVM regression instead of spline interpolation in EMD .

同时，针征对信号处理中对高速测频的要求，介绍了一种基于离散傅立叶变换（DFT）的三次样条插值快速测频方法并进行了仿真。

At the same time , this paper introduces a fast measuring frequency method using spline cubic interpolation based on discrete Fourier transform ( DFT ) and gives the result of simulation .

针对CT图像和PET图像层与层之间缺失的数据，本文提出了利用三次样条插值法恢复层间丢失数据，通过实验数据证明该方法提高PET／CT图像配准精确度。

Secondly , as to the missed information between slices in CT and PET images , a cubic spline interpolation method is developed to restore the missed information , which is proved via experiments that it can improve the accuracy of the registration method .

首先对一阶B样条函数N1（x）进行卷积得到四阶B样条函数N4（x），用N4（x）的线性组合构造出三次样条插值基函数；

The fourth-order cardinal B-splines N_4 ( x ) was obtained by convoluting the first order cardinal B-splines N_1 ( x ), and cubic spline interpolation cardinal function obtained by using linear combination of N_4 ( x ) .

使用三次样条插值数学方法预测不同简化数量级的纤维直径，估计全毛丛的FDP形态特征参数。

The full FDP and its characteristics can be predicted and estimated by using cubic spline interpolation method and calculating fibre diameter measurements along the staple based on the simplified method .

最后，利用三次样条插值逼近出完整的时变信道。（4）将ICI自消除的原理应用在了改善时变信道估计性能上。

Finally , cubic spline interpolation method is adopted to approximate the whole time-varying channel . ( 4 ) The idea of ICI self-cancellation is used to improve the performance of time-varying channel estimation .

其基本思想是首先以Hilbert曲线扫描图像，配合峰谷法对图像进行滤波，采用三次样条插值法对图像进行灰度插值；

It is separated into three steps . First , Using the Peak-valley with scanning pixels along the Hilbert curve reduces the noise of image and the Cubic Spline Interpolation is used between local peaks and valleys to smooth the image .

此种方法先由Sobel算子确定图像边缘的大致位置，然后用三次样条插值函数对灰度边缘图进行内插计算，使目标边缘定位达到亚像素级。

This method determines the probable position of image edge by Sobel operator and then takes three-order spline interpolation function to interpolate the gray edge image , which makes object 's edge located at sub-pixel level .

并且针对模极大值原理去噪过程中存在重构小波系数难的问题，本文提出了分段三次样条插值（PCSI）的算法，可以快速高效地重构小波系数。

Moreover , to overcome the difficulty of reconstructing wavelet coefficients in the modulus maximum denoising , a new piecewise cubic spline interpolating ( PCSI ) algorithm is presented , with which the wavelet coefficients can be reconstructed fast and efficiently .

关于三次样条插值矩阵的非奇异性

A note on nonsingularity of the interpolating matrix of cubic spline

保形C~1三次样条插值方法的改进

Improvement for Methods of Conformal C ￣ 1 Cubic Spline Interpolation

运用三次样条插值法使曲线光滑；

To obtain fitted smooth curves by using cubic spline interpolation .

对采用三次样条插值方法绘制等值线进行了实验。

The drawing of contour line with cubic splines interpolation was tested .

三次样条插值函数的存在唯一性

The Existence and Uniqueness of the Cubic Spline Interpolation Function

双三次样条插值函数乘积型计算原理及其应用

The Calculation Principle of Double Three Spline Interpolation Function and Its Application

基于三次样条插值的亚象素边缘检测算法

A Sub-pixel Edge Detection Algorithm Based on Cubic Spline Interpolation

基于小波变换的三次样条插值亚像素边缘定位

Based on Wavelet Transform Cubic Spline Interpolation of the Sub-pixel Edge Position

在染整工业中应用三次样条插值函数处理数据

Cubic Spline Interpolating Function Applied in handling Data of Dyeing and Finishing Processing

关于三次样条插值方法在应用中的一点改进

A Modified Method for Application of Cubic Spline Interpolation

基于三次样条插值的采样数据光滑曲线形成法

Smooth Curve Output for Dynamic Process Sampling Data Base on Cubic Polynomial Interpolation

参数三次样条插值在实践中应用很广。

Parametric Cubic Spline is very useful in interpolation .