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Three Dimensional Transformations and Projection Questions and Answers

1.

Which of the following statements is/are INCORRECT about the Z-buffer algorithm in computer graphics?

Statements:
i) It is an image space method to detect visible surface.
ii) In this method, a depth buffer is used to store the depth values of each position and a refresh (frame) buffer is used to store the intensity values or colour values for each position.
iii) In this method, object edges can be anti aliased.
iv) This method can only find one visible surface at each pixel position.

Exam Year(s)

DSSSB TGT - 2023,

Answer: D

Only statement iii is incorrect. The Z-buffer algorithm is an image-space method of detecting visible surfaces (i), and it keeps a depth buffer for the depth value of each position and a refresh (frame) buffer for the intensity or colour (ii). It finds only one visible surface at each pixel position (iv), and because it keeps no information about the surfaces behind it, object edges cannot be anti-aliased, so statement iii is the false one. The other options mark true statements as incorrect.

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2.

From modeling coordinates to device coordinates in general 3D transformation pipeline, identify the correct order of other coordinates involved :

(i) Viewing coordinates
(ii) Projection coordinates
(iii) World coordinates

Exam Year(s)

MH SET - 2020, SET Exam - 2020,

Answer: C

The order is (iii), (i) and (ii): world, viewing, projection.

In the general 3D viewing pipeline, modelling coordinates are first transformed into world coordinates (placing objects in the scene), then into viewing coordinates (as seen from the camera), then into projection coordinates (after perspective or parallel projection), then normalised and finally mapped to device coordinates.

Every other option puts viewing or projection before the world coordinate stage, which reverses the pipeline.

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