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  1. PO
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    <p>For my OpenGL engine, the following snip will convert mouse/screen coordinates into 3D world coordinates. Read the commments for an actual description of what is going on.</p> <pre> /* FUNCTION: YCamera :: CalculateWorldCoordinates ARGUMENTS: x mouse x coordinate y mouse y coordinate vec where to store coordinates RETURN: n/a DESCRIPTION: Convert mouse coordinates into world coordinates */ </pre> <p><code> void YCamera :: CalculateWorldCoordinates(float x, float y, YVector3 *vec) { // START GLint viewport[4]; GLdouble mvmatrix[16], projmatrix[16];</p> <pre><code>GLint real_y; GLdouble mx, my, mz; glGetIntegerv(GL_VIEWPORT, viewport); glGetDoublev(GL_MODELVIEW_MATRIX, mvmatrix); glGetDoublev(GL_PROJECTION_MATRIX, projmatrix); real_y = viewport[3] - (GLint) y - 1; // viewport[3] is height of window in pixels gluUnProject((GLdouble) x, (GLdouble) real_y, 1.0, mvmatrix, projmatrix, viewport, &amp;mx, &amp;my, &amp;mz); /* 'mouse' is the point where mouse projection reaches FAR_PLANE. World coordinates is intersection of line(camera-&gt;mouse) with plane(z=0) (see LaMothe 306) Equation of line in 3D: (x-x0)/a = (y-y0)/b = (z-z0)/c Intersection of line with plane: z = 0 x-x0 = a(z-z0)/c &lt;=&gt; x = x0+a(0-z0)/c &lt;=&gt; x = x0 -a*z0/c y = y0 - b*z0/c */ double lx = fPosition.x - mx; double ly = fPosition.y - my; double lz = fPosition.z - mz; double sum = lx*lx + ly*ly + lz*lz; double normal = sqrt(sum); double z0_c = fPosition.z / (lz/normal); vec-&gt;x = (float) (fPosition.x - (lx/normal)*z0_c); vec-&gt;y = (float) (fPosition.y - (ly/normal)*z0_c); vec-&gt;z = 0.0f; </code></pre> <p>} </code></p>
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    1. POHow do I reverse-project 2D points into 3D?
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