is that possible to map and texture on a flatten mesh surface?

I'm using the "nefertiti" obj in MATLAB to perform the surface flattening, is that possible to map an image on the flatten surface?

I used isomap technique to flatten the surface,actually i'm trying to flatten a human face image which the picture posted below.i'm been struggling on the mapping technique for along period, please kindly advise. A big Thanks

The paper i refer has given a ideal of mapping every point on the 3D surface to its corresponding 2D flattened point on 3D surface. - find the corresponding 2D point in the flattend map -translate the 2D coordinate to the texture image coordinate -use the point's color as texture

how i convert it to a program?

[svanimisetti]

Have you found a solution yet? I had a way to apply texture to a mesh, but I was looking for a way to flatten my mesh. Currently I just project 3D points on to a plane. Of course this will not work for complex manifolds. Can you share your method to flatten the mesh? I can share how I am applying texture to the flattened mesh.

[Rasoul]

You can compute BaryCentric coordinates for each triangle in the flattened mesh and then warping the image using the correspondance texture in the original 2d image. I performed this procedure in my flatten image and it amazingly texturized my flatten surface.

Answer 1

[yanqi liu]

yes，sir，may be consider image transform，such as

img=imread('cameraman.tif');
[h,w]=size(img);
hfOV=pi/2;  
f=w/(2*tan(hfOV/2));
newh=h;   
neww=floor(f*atan((w-w/2)/f)+f*atan(w/(2*f))); 
imgn=zeros(newh,neww);
for i=1:newh
    for j=1:neww       
       x=floor(f*tan(j/f-atan(w/(2*f)))+w/2);
       y=floor((i-h/2)*sqrt((x-w/2)^2+f^2)/f+h/2);         
         if x>=1 && x<=w && y>=1 && y<=h
            imgn(i,j)=img(y,x);
        end      
    end
end
imshow(img);

figure;
imshow(imgn,[]);