RBF插值算法Matlab代码_matlabrbf插值资源-CSDN文库

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package

rbfinterp_v1.2.rar （6个子文件）

folder

rbfinterp_v1.2

rbfcreate.m 5KB

rbftest3D.m 2KB

rbfinterp.m 909B

RBF Interpolation and Approximation.ppt 169KB

rbftest.m 4KB

rbfcheck.m 347B

6 March 2006

Interpolation and

Approximation using

Radial Base Functions (RBF)

Alex Chirokov

Description of

rbfcreate and rbnterp functions.

http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=10056&objectType=FILE

Outline



First Example



Radial Base Functions (RBF)



RBF Interpolation and Approximation



1D Examples



2D Examples

Function: rbfcreate

coeff = rbfcreate(x, y);

1 x n vector of values at

the nodes. (input)

dim x n matrix of

coordinates of the nodes.

(input)

n - number of nodes

dim – dimensionality of the data

dim=1 for 1D interpolation, dim=2

for 2D interpolation, etc.

Interpolation coe&cients used in

function rbnterp. (output)

Function: rbnterp

yi = rbfinterp(xi, coeff);

Interpolation coefficients created

by function rbfcreate. (input)

dim x m matrix of

coordinates of the nodes.

(input)

m - number of nodes

dim – dimensionality of the data

dim=1 for 1D interpolation, dim=2

for 2D interpolation, etc.

1 x n vector of values at the

nodes. (output)

First Example

1D Interpolation using standard Matlab function interp1

(see Matlab help on interp1 for detailes):

x = 0:1.25:10;

y = sin(x);

xi = 0:.1:10;

yi = interp1(x,y,xi);

The same interpolation can be obtained using rbfcreate and

rbfinterp functions:

x = 0:1.25:10;

y = sin(x);

xi = 0:.1:10;

yi = rbfinterp(xi, rbfcreate(x, y));

Thus for 1D RBF interpolation

yi = rbfinterp(xi, rbfcreate(x, y));

can be used instead of

yi = interp1(x,y,xi);

the rest of the code remains the same.

内容反馈

zxiaomzxm

2012-11-04

基本功能基本都实现了，但是注释有些少
zlh893935059

2015-01-24

不错的，一直在找CSRBF的代码
zlf0146

2013-04-24

代码资源不错，注释详尽一些更好。
zlc_dlut

2018-03-13

谢谢，对我有用
zhy29563

2014-05-26

非常感谢，解决了大问题

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