Derive the relation for three-dimensional translation and rotation. | Computer Graphics 2075

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Computer Graphics20755 marksThree-Dimensional translation, Rotation, Scaling, Reflection

Derive the relation for three-dimensional translation and rotation. [5]

--- Translation moves a point linearly in space. Let point P(x, y, z) be translated by translation vector T(tx, ty, tz) to produce image point P'(x', y', z'). The translated coordinates are obtained by adding the translation distances to each coordinate: $x' = x + tx$ $y' = y + ty$ $$z' = z +...

--- Translation moves a point linearly in space. Let point P(x, y, z) be translated by translation vector T(tx, ty, tz) to produce image point P'(x', y', z'). The translated coordinates are obtained by adding the translation distances to each coordinate: $$x' = x + tx$$ $$y' = y + ty$$ $$z' = z +...

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--- Translation moves a point linearly in space. Let point P(x, y, z) be translated by translation vector T(tx, ty, tz) to produce image point P'(x', y', z'). The translated coordinates are obtained by adding the translation distances to each coordinate: $x' = x + tx$ $y' = y + ty$ $$z' = z +...