Find the right hand side of the interpolation system, MATLAB Programming

Assignment Help:

function y=tps(r)

% This is the thin-plate spline

if r < 0.000000000001

 y=0;

else

 y=r^2*log(r);

end

function y=fun(point)

% my target function

x=point(1);

z=point(2);

y=7-4*x^2+z^3;

function y=interpmat(points)

% this file computes the interpolation matrix

[n,m]=size(points);

for i=1:n

ipoint=points(i,:);

for j=1:n

jpoint=points(j,:);

mat(i,j)=tps(norm(ipoint-jpoint));

end

mat(i,n+1)=1;

mat(n+1,i)=1;

mat(i,n+2)=ipoint(1);

mat(n+2,i)=ipoint(1);

mat(i,n+3)=ipoint(2);

mat(n+3,i)=ipoint(2);

end

y=mat;

function y=righthandside(points)

% find the right hand side of the interpolation system

[n,m]=size(points);

for i=1:n

y(i)=fun(points(i,:));

end

y(n+1)=0;

y(n+2)=0;

y(n+3)=0;

function y=testinterp(n,m)

% this file test our interpolation routine

points=rand(n,2);

% compute interpolation matrix

mat=interpmat(points);

% create the right hand side

rhs=righthandside(points);

solution=inv(mat)*rhs';

% test solution

tpoints=rand(m,2)

maxerr=testsol(points,tpoints,solution);


Related Discussions:- Find the right hand side of the interpolation system

Image forgery detection , i have a problem in doing my project which detect...

i have a problem in doing my project which detects image forgery detection using resampling technique any one please help in writing my program

Robot, How to simulate a robot

How to simulate a robot

Mass and stiffness matrices, Model the three degree of freedom system shown...

Model the three degree of freedom system shown in Figure Q5 and solve for the displacements of the three masses due to a force of 10 N applied to the bottom mass at a frequency of

Adaptive filters, Adaptive filters can also be used in other applications. ...

Adaptive filters can also be used in other applications. Speech recognition, for example, is performed in a non-stationary environment, and therefore may require adaptive filtering

Write a matlab script to calculate the frequency response, A band pass FIR ...

A band pass FIR filter is required to pass frequencies from 5KHz to 8KHz, using a sample rate of 40K i) Explain how this would map to normalization sampling frequencies in radia

Calculate the distance between the two cars, Two cars started to move from ...

Two cars started to move from zero position with (φ = 35) as shown. For the next four minutes, do the following: 1. Calculate each car's distance from the zero position (Distanc

What are the matlab system parts, The MATLAB system having of five main par...

The MATLAB system having of five main parts: * Handle Graphics. * The MATLAB working environment. * The MATLAB language. * The MATLAB mathematical function library.

Illustration of assignment statements, Illustration  of assignment stateme...

Illustration  of assignment statements: At that point, if the expression mynum 3 is entered, the default variable ans is used as the result of this expression is not assigned

Find the distribution of data with matlab, how to make a histogram of data,...

how to make a histogram of data, example x=[5 6 3 2 5] and then find the distribution

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd