1.The matrix representation for translation in homogeneous coordinates is

a) P’=T+P

b) P’=S*P

c) P’=R*P

d) P’=T*P

View Answer

Explanation: The matrix representation for translation is P’=T*P.

2. The matrix representation for scaling in homogeneous coordinates is

a) P’=S*P

b) P’=R*P

c) P’=dx+dy

d) P’=S*S

View Answer

Explanation: The matrix representation for scaling is P’=S*P.

3. The matrix representation for rotation in homogeneous coordinates is

a) P’=T+P

b) P’=S*P

c) P’=R*P

d) P’=dx+dy

View Answer

Explanation: The matrix representation for rotation is P’=R*P.

4. What is the use of homogeneous coordinates and matrix representation?

a) To treat all 3 transformations in a consistent way

b) To scale

c) To rotate

d) To shear the object

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Explanation: To treat all 3 transformations in a consistent way, we use homogeneous coordinates and matrix representation.

5. If point are expressed in homogeneous coordinates then the pair of (x, y) is represented as

a) (x’, y’, z’)

b) (x, y, z)

c) (x’, y’, w)

d) (x’, y’, w)

View Answer

Explanation: If point are expressed in homogeneous coordinates then we add 3rd coordinate to the point (x, y), that is represented as (x’, y’, w).

6. For 2D transformation the value of third coordinate i.e. w=?

a) 1

b) 0

c) -1

d) Any value

View Answer

Explanation: For 2D we have (x, y, 1) i.e. w=1.

7. We can combine the multiplicative and translational terms for 2D into a single matrix representation by expanding

a) 2 by 2 matrix into 4*4 matrix

b) 2 by 2 matrix into 3*3

c) 3 by 3 matrix into 2 by 2

d) Only c

View Answer

Explanation: We can combine the multiplicative and translational terms for 2D into a single matrix representation by expanding 2 by 2 matrix representation into 3 by 3.

8. The general homogeneous coordinate representation can also be written as

a) (h.x, h.y, h.z)

b) (h.x, h.y, h)

c) (x, y, h.z)

d) (x,y,z)

View Answer

Explanation: The general homogeneous coordinate representation can also be written as (h.x, h.y, h).

**Sanfoundry Global Education & Learning Series – Computer Graphics.**

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