在Open GL中计算表面的法线

Question

I am trying to add shading/lighting to my terrain generator. But for some reason my output still looks blocky even after I calculate surface normals.

set<pair<int,int> >::const_iterator it;

for ( it = mRandomPoints.begin(); it != mRandomPoints.end(); ++it )
{
    for ( int i = 0; i < GetXSize(); ++i )
    {
        for ( int j = 0; j < GetZSize(); ++j )
        {
            float pd = sqrt(pow((*it).first - i,2) + pow((*it).second - j,2))*2 / mCircleSize;
            if(fabs(pd) <= 1.0)
            {
                mMap[i][j][2] += mCircleHeight/2 + cos(pd*3.14)*mCircleHeight/2; ;
            }

        }
    }
}

/*
    The three points being considered to compute normals are 
    (i,j)
    (i+1,j)
    (i, j+1)
*/

for ( int i = 0; i < GetXSize() -1 ; ++i )
{
    for ( int j = 0; j < GetZSize() - 1; ++j )
    {
        float b[] = {mMap[i+1][j][0]-mMap[i][j][0], mMap[i+1][j][1]-mMap[i][j][1], mMap[i+1][j][2]-mMap[i][j][2] };
        float c[] = {mMap[i][j+1][0]-mMap[i][j][0], mMap[i][j+1][1]-mMap[i][j][1], mMap[i][j+1][2]-mMap[i][j][2] };
        float a[] = {b[1]*c[2] - b[2]*c[1], b[2]*c[0]-b[0]*c[2], b[0]*c[1]-b[1]*c[0]};

        float Vnorm = sqrt(pow(a[0],2) + pow(a[1],2) + pow(a[2],2));

        mNormalMap[i][j][0] = a[0]/Vnorm;
        mNormalMap[i][j][1] = a[1]/Vnorm;
        mNormalMap[i][j][2] = a[2]/Vnorm;

    }
}

Then when drawing this I use the following

float*** normal = map->GetNormalMap();

for (int i = 0 ; i < map->GetXSize() - 1; ++i)
{
    glBegin(GL_TRIANGLE_STRIP);

    for (int j = 0; j < map->GetZSize() - 1; ++j)
    {

        glNormal3fv(normal[i][j]);


        float color = 1 - (terrain[i][j][2]/height);
        glColor3f(color,color, color);
        glVertex3f(terrain[i][j][0], terrain[i][j][2], terrain[i][j][1]);
        glVertex3f(terrain[i+1][j][0], terrain[i+1][j][2], terrain[i+1][j][1]);
        glVertex3f(terrain[i][j+1][0], terrain[i][j+1][2], terrain[i][j+1][1]);
        glVertex3f(terrain[i+1][j+1][0], terrain[i+1][j+1][2], terrain[i+1][j+1][1]);
    }

    glEnd();
}

EDIT: Initialization Code

glFrontFace(GL_CCW);
glCullFace(GL_FRONT); // glCullFace(GL_BACK); 
glEnable(GL_CULL_FACE);
glEnable(GL_DEPTH_TEST);
glShadeModel(GL_SMOOTH);
glEnable(GL_POLYGON_SMOOTH);
glMatrixMode(GL_PROJECTION);

Am I calculating the Normals Properly?

Answer 1

In addition to what Bovinedragon suggested, namely glShadeModel(GL_SMOOTH); , you should probably use per-vertex normals. This means that each glVertex3f would be preceded by a glNormal3fv call, which would define the average normal of all adjacent faces. To obtain it, you can simply add up these neighbouring normal vectors and normalize the result.

Reference this question: Techniques to smooth face edges in OpenGL

Answer 2

Have you set glShadeModel to GL_SMOOTH?

See: http://www.khronos.org/opengles/documentation/opengles1_0/html/glShadeModel.html

This settings also effects vertex colors in addition to lighting. You seem to say it was blocky even before lighting which makes me think this is the issue.