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function y=tps(r)% This is the thin-plate splineif r < 0.000000000001 y=0;else y=r^2*log(r);endfunction y=fun(point)% my target functionx=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:nipoint=points(i,:);for j=1:njpoint=points(j,:);mat(i,j)=tps(norm(ipoint-jpoint));endmat(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);endy=mat;function y=righthandside(points)% find the right hand side of the interpolation system[n,m]=size(points);for i=1:ny(i)=fun(points(i,:));endy(n+1)=0;y(n+2)=0;y(n+3)=0;function y=testinterp(n,m)% this file test our interpolation routinepoints=rand(n,2);% compute interpolation matrixmat=interpmat(points);% create the right hand siderhs=righthandside(points);solution=inv(mat)*rhs';% test solutiontpoints=rand(m,2)maxerr=testsol(points,tpoints,solution);
There are many approaches to numerically estimating the derivative of the function. The relationship: is called a forward difference, since the estimate of the derivativ
Hold and legend function: hold: is a toggle which freezes the present graph in the figure window, so that the new plots will be superimposed on the present one. Just hold
Variable number of output arguments: The variable number of output arguments can also be identified. For illustration, the one input argument is passed to the below function t
design a rc phase shift oscillator for a particular frequency of oscillation and generate a sinusoidal signal
what are the steps we need to write in the script to get themedian for X values
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Problem of a projectile being launched at an angle of O at an initial velocity ofv. The equations for the height hand horizontallocation x as functions of time t are as follo
Perform the convolution of following sequences (a) x[n] = [1 2 3], N1 = 1 and h[n] = [1 - 1], N2 = 1 (b) x[n] = [1 2 3], N1 = 2 and h[n] = [1 - 1], N2 = 1 (c) x[n] = [1 2 3], N1 =
Introduction to File Input/output (LOAD and SAVE): In most cases, the input to a script will come from a data file which has been generated by the other source. It is also use
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