Given a point P = (2, 4, 8) and using homogenons representation :

1. Calculate coordinates of the transformed point P rocated about X, Y, Z axis by angles respectively.

2. Calculate P if P is translated by And the scaled by S = 1.5.

3. Find the orthographic projection

The coordinates of four control points relative to a current WCS are given by :

Find the equations of the routing Besier curve also find points on the courve for

1. B rep and

2. CSG in detail

Explain the parametric representation of following analytical surfaces :

1. Ruled surface

2. Surface of revolution

3. Coons patch

4. Plane surface

Explain :

1. Parametric and non-parametric representation of curves.

2. Implicit and explicit fucntion.