300029 Engineering Visualization
3D Viewing
Problems with two asterisks (**) Problems with one asterisk (*) All problems for this tutorial
A viewing coordinate system is illustrated in Figure P1. It can be determined by an eye position, a look-at point and a view-up vector. The view-plane normal is in the direction from the look-at point to the eye position. It is also in the direction along the positive 𝑧𝑣𝑖𝑒𝑤 axis of the viewing coordinate system. If the eye position is (4, 4, 4), the look-at point is (0, 1, 0) and the view-up vector is (0, 1, 0), find the unit vectors along the positive 𝑥𝑣𝑖𝑒𝑤 axis, positive 𝑦𝑣𝑖𝑒𝑤 axis and positive 𝑧𝑣𝑖𝑒𝑤 axis, respectively, of the viewing coordinate system.
A viewing coordinate system can be determined by an eye position, a look-at point and a view-up vector. The view-plane normal is in the direction from the look-at point to the eye position. It is also in the direction along the positive 𝑧𝑣𝑖𝑒𝑤 axis of the viewing coordinate system. If the eye position is (0, 0, −10), the look-at point is (0,0,−1) and the view-up vector is (0,1,0), find the unit vectors along the positive 𝑥𝑣𝑖𝑒𝑤 axis, positive 𝑦𝑣𝑖𝑒𝑤 axis and positive 𝑧𝑣𝑖𝑒𝑤 axis, respectively, of the viewing coordinate system.