COMPUTER SCIENCE AND ENGINEERING
COMPUTER GRAPHICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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8
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9
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4
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6
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Detailed explanation-1: -5. Reflection about the line y=0, the axis, is accomplished with the transformation matrix with how many elements as ‘0’? Explanation: The matrix used for reflection about y=0 is an identity matrix with 6 ‘0’s and two ‘1’s and one element as ‘-1’.
Detailed explanation-2: -So simply multiplying by a 3x3 matrix can never move the origin.
Detailed explanation-3: -Reflection is the mirror image of original object. In other words, we can say that it is a rotation operation with 180°. In reflection transformation, the size of the object does not change. The following figures show reflections with respect to X and Y axes, and about the origin respectively.
Detailed explanation-4: -Reflection About the Line Y = X For example, if we are going to make reflection transformation of the point (2, 3) about x-axis, after transformation, the point would be (2, -3). Here the rule we have applied is (x, y)—-> (x, -y). So we get (2, 3)—-> (2, -3).
Detailed explanation-5: -What is the determinant of the pure reflection matrix? So, the determinant will be = (1) (-1) – (0) (0) = 0.