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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Given below are different properties of $3D$ projections from A-D. Identify the correct order on the basis of property true of:
$(i)$ a perspective projection only,
$(ii)$ an orthographic projection only,
$(iii)$ both orthographic and projective transformations,
$(iv)$ neither orthographic nor projective transformation, respectively.
(A) Straight lines are mapped to straight lines.
(B) Distances and angles are in general preserved.
(C) Far away objects appear the same size as closer ones.
(D) Requires homogeneous coordinates in order for it to be encoded into a linear transformation.
Choose the correct answer from the options given below:
$(i)$ a perspective projection only,
$(ii)$ an orthographic projection only,
$(iii)$ both orthographic and projective transformations,
$(iv)$ neither orthographic nor projective transformation, respectively.
(A) Straight lines are mapped to straight lines.
(B) Distances and angles are in general preserved.
(C) Far away objects appear the same size as closer ones.
(D) Requires homogeneous coordinates in order for it to be encoded into a linear transformation.
Choose the correct answer from the options given below:
Solution
For perspective projection only:Perspective projection needs homogeneous coordinates to represent it using matrix form.
So, $(i)$ matches with D.
For orthographic projection only:
In orthographic projection, far away objects appear the same size as closer objects.
So, $(ii)$ matches with C.
For both orthographic and projective transformations:
Both transformations map straight lines to straight lines.
So, $(iii)$ matches with A.
For neither orthographic nor projective transformation:
Distances and angles are not preserved in general by these projections.
So, $(iv)$ matches with B.
Final order is:
D, C, A, B
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