Computer Graphics207810 marksNumerical: 3D rotation transformationThree-Dimensional Viewing
Question Define orthographic, parallel, and perspective projections. Consider a region defined by the position vector P below, relative to global XYZ axis system. It is rotated by +30° about X-axis and passes through points (1.5, 1.5, 1.5). Find the final position of the region.
Question
Define orthographic, parallel, and perspective projections. Consider a region defined by the position vector P below, relative to global XYZ axis system. It is rotated by +30° about X-axis and passes through points (1.5, 1.5, 1.5). Find the final position of the region.
$$P = \begin{bmatrix} 1 & 1 & 2 & 1 \ 2 & 1 & 2 & 1 \ 2 & 2 & 2 & 1 \ 1 & 2 & 2 & 1 \end{bmatrix}$$
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Parallel Projection: The projectors (lines joining object points to the view plane) are parallel to each other; the centre of projection is located at infinity. It preserves relative proportions and is used for engineering/technical drawings. Orthographic Projection: A special case of parallel pr...