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Remark for Perspective projection - Transformation
A Perspective projection can have at most three Principle Vanishing points and at any rate one Principle vanishing point. To know the consequences of a perspective transformation, identify the figure.
The figure demonstrates the perspective transformation on z=0 plane of a specified line AB that is parallel to the z-axis. The A*B* is the projected line of the specified line AB in the z=0 plane. Assume here that a centre of projection be at (0,0,-d) on the z-axis. The Figure (A) demonstrates that the line A'B' intersects the z=0 plane at the similar point as the line AB. This also intersects the z-axis at z=+d. This means the perspective transformation has transformed the intersection point.
Linearly interpolate - Modeling and Rendering I 4 = I 1 + t (I 2 - I 1 ); here t = (|y 1 - y 2 |)/(|y 1 - y 2 |) I D = I A + t (I B - I A ); here t = (|AD|)/(|AB|)
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