math - Implement page curl on android?

Question

I was surfing the net looking for a nice effect for turning pages on Android and there just doesn't seem to be one. Since I'm learning the platform it seemed like a nice thing to be able to do is this.

I managed to find a page here: http://wdnuon.blogspot.com/2010/05/implementing-ibooks-page-curling-using.html

- (void)deform
{
  Vertex2f  vi;   // Current input vertex
  Vertex3f  v1;   // First stage of the deformation
  Vertex3f *vo;   // Pointer to the finished vertex
CGFloat R, r, beta;
  for (ushort ii = 0; ii < numVertices_; ii++)
  {
    // Get the current input vertex.
    vi    = inputMesh_[ii];                       
    // Radius of the circle circumscribed by vertex (vi.x, vi.y) around A on the x-y plane
    R     = sqrt(vi.x * vi.x + pow(vi.y - A, 2)); 
    // Now get the radius of the cone cross section intersected by our vertex in 3D space.
    r     = R * sin(theta);                       
    // Angle subtended by arc |ST| on the cone cross section.
    beta  = asin(vi.x / R) / sin(theta);       

// *** MAGIC!!! ***
v1.x  = r * sin(beta);
v1.y  = R + A - r * (1 - cos(beta)) * sin(theta); 
v1.z  = r * (1 - cos(beta)) * cos(theta);
// Apply a basic rotation transform around the y axis to rotate the curled page.


 // These two steps could be combined through simple substitution, but are left
    // separate to keep the math simple for debugging and illustrative purposes.
    vo    = &outputMesh_[ii];
    vo->x = (v1.x * cos(rho) - v1.z * sin(rho));
    vo->y =  v1.y;
    vo->z = (v1.x * sin(rho) + v1.z * cos(rho));
  }  
}

that gives an example (above) code for iPhone but I have no idea how I would go about implementing this on android. Could any of the Math gods out there please help me out with how I would go about implementing this in Android Java.

Is it possible using the native draw APIs, would I have to use openGL? Could I mimik the behaviour somehow?

Any help would be appreciated. Thanks.

****************EDIT**********************************************

I found a Bitmap Mesh example in the Android API demos: http://developer.android.com/resources/samples/ApiDemos/src/com/example/android/apis/graphics/BitmapMesh.html

Maybe someone could help me out on an equation to simply fold the top right corner inward diagnally across the page to create a similar effect that I can later apply shadows to to gie it more depth?

Answer 1

I'm doing some experimenting on page curl effect on Android using OpenGL ES at the moment. It's quite a sketch actually but maybe gives some idea how to implement page curl for your needs. If you're interested in 3D page flip implementation that is.

As for the formula you're referring to - I tried it out and didn't like the result too much. I'd say it simply doesn't fit small screen very well and started to hack a more simple solution.

Code can be found here: https://github.com/harism/android_page_curl/

While writing this I'm in the midst of deciding how to implement 'fake' soft shadows - and whether to create a proper application to show off this page curl effect. Also this is pretty much one of the very few OpenGL implementations I've ever done and shouldn't be taken too much as a proper example.