Blending interpolation for a function

I need to calculate the value f(x,y)=sin((pi/2)*(x+y)) for the function using the blending interpolation reffering to x0=-1, x1=1, y0=-1, y1=1 in point (1/3,1/3).

Can somebody help me with the code for this? I need to make even a graphics interface but there i can try to do it.....

[Ameer Hamza]

What is the equation for blending interpolation?

[MAN MARIUS]

uh,sry didnt notice f(x,y)=sin((pi/2)*(x+y))

Answer 1

[Image Analyst]

Try this:

% I need to calculate the value f(x,y)=sin((pi/2)*(x+y))  
% for the function using the blending interpolation reffering to 
% 	x0=-1, x1=1, y0=-1, y1=1 in point (1/3,1/3).
x0=-1, x1=1, y0=-1, y1=1;
x = x0 : 1/3 : x1
y = y0 : 1/3 : y1
[X, Y] = meshgrid(x, y);
fxy = sin((pi/2)*(X(:) + Y(:)))
fxy = reshape(fxy, length(y), length(x));

subplot(2, 1, 1);
surf(fxy);
title('surf(fxy)', 'FontSize', 15);

subplot(2, 1, 2);
imshow(fxy, []);
title('imshow(fxy)', 'FontSize', 15);
colormap(jet(256));
colorbar;

[MAN MARIUS]

but i need the result.

After the blending interpolation of that f(X) i need a value, the result of the interp. I try to search about this method, blending interpolation but i didnt find anything.

[Image Analyst]

I don't know what you want. Why isn't fxy a result? If you want to interpolate it to higher resolution, then use something smaller than 1/3. Maybe I just don't know your definition of "blending interpolation" -- I've never heard that exact phrase before.

% I need to calculate the value f(x,y)=sin((pi/2)*(x+y))  
% for the function using the blending interpolation reffering to 
% 	x0=-1, x1=1, y0=-1, y1=1 in point (1/3,1/3).
x0=-1, x1=1, y0=-1, y1=1;
numPoints = 800;
x = linspace(x0, x1, 800);
y = linspace(y0, y1, 800);
[X, Y] = meshgrid(x, y);
fxy = sin((pi/2)*(X(:) + Y(:)));
fxy = reshape(fxy, length(y), length(x));

subplot(2, 1, 1);
surf(fxy, 'EdgeColor', 'none');
title('surf(fxy)', 'FontSize', 15);

subplot(2, 1, 2);
imshow(fxy, []);
title('imshow(fxy)', 'FontSize', 15);
colormap(jet(256));
colorbar;

[MAN MARIUS]

I wanted to see the result of that function interpolated with numbers and then draw the surf. Isn't that possible?

[Image Analyst]

As with any variable, you can double click on fxy in the workspace panel and see the numerical values. If you want to see them before you call surf(), you can set a breakpoint on the surf() line and inspect the variable. Of course it doesn't change after surf() is called so it's the same at the very end of the function as it it before you call surf().

[MAN MARIUS]

Ty >)