COMPUTER SCIENCE AND ENGINEERING
COMPUTER GRAPHICS
|
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
|
|
|
(x’, y’, z’)
|
|
|
(x, y, z)
|
|
|
(x’, y’, w)
|
|
|
(x’, y’, w)
|
Detailed explanation-1: -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).
Detailed explanation-2: -Summary. Homogeneous coordinates have an extra dimension called W, which scales the X, Y, and Z dimensions. Matrices for translation and perspective projection transformations can only be applied to homogeneous coordinates, which is why they are so common in 3D computer graphics.
Detailed explanation-3: -Any point in the projective plane is represented by a triple (X, Y, Z), called homogeneous coordinates or projective coordinates of the point, where X, Y and Z are not all 0. The point represented by a given set of homogeneous coordinates is unchanged if the coordinates are multiplied by a common factor.
Detailed explanation-4: -Computer graphics often uses a homogeneous representation of a point in space. This means that a three-dimensional point is represented by a four-element vector. The coordinates of the represented point are determined by dividing the fourth component into the first three (Eq. 2.3).
Detailed explanation-5: -The correct answer is (a) P’=S*P. To explain I would say: The matrix representation for scaling is P’=S*P.