a) A mirror is placed in such a way that it passes via (2, 0) and (0, 2). Find out the reflected view of a triangle with vertices (3, 4), (5, 5) and (4, 7) in the mirror.
b) Investigate the effect of transformations T1 and T2 on a triangle containing co-ordinates A(2,2), B(4,2) and C(4,4), where T1 signifies rotation via 90 degrees in the counter clock-wise direction and T2 signifies a reflection with respect to the line y = -x . Do we obtain similar outcome if the two transformations are applied in the reverse order?
a) Describe the Cohen-Sutherland algorithm. This algorithm is proficient when outcode testing can be done economically. Describe this statement.
b) A cubic Bezier Curve Segment is describeed by control points P0(2, 2), P1(4, 8), P2(8, 8) and P3(9, 5). The other curve segment is describeed by Q0(a, b), Q1(c, 2), Q2(15, 2) and Q3(18, 2). Find out the value of a, b and c so that the two curve segments join smoothly.
a) prepare a detail note on the perspective projections clearly describing vanishing points and view volumes.
b) Describe the given terms with relevant diagram:
- Orthogonal projection.
- Axonomic and Isometric orthogonal projection.