---
title: "Short note: Application of 3D transformation"
subject: "Computer Graphics"
chapter: 4
key: "semester_5/computer_graphics:short-note-application-3d-transformation"
source: https://www.bctengineer.com/q/semester_5/computer_graphics/short-note-application-3d-transformation
site: BCT Engineering
---

# Short note: Application of 3D transformation

Computer Graphics · Chapter 4: Three-Dimensional Graphics

- Asked in: 2070 Asar, 2 marks
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_5/computer_graphics/short-note-application-3d-transformation
- Whole chapter: https://www.bctengineer.com/md/semester_5/computer_graphics/chapter-4

## Question

Write a short note on application of 3D transformation.

## Short answer

3D transformations translate, rotate, scale objects. Applications include CAD/CAM (design and viewing), animation and games (character/camera motion), VR/simulation (changing viewer position), medical imaging (manipulating CT/MRI scans), robotics (arm positioning), and the viewing pipeline for converting world to viewing coordinates.

## Answer

3D transformations (translation, rotation, scaling, reflection, shearing) are used to place, move and view objects in space. Applications:
- **CAD/CAM and architecture:** moving, rotating and scaling parts of a design, viewing from different angles.
- **Animation and games:** moving characters and cameras, object rotation and scaling.
- **Virtual reality and simulation:** flight and driving simulators, where the viewer position changes.
- **Medical imaging:** rotating and resizing 3D scans (CT, MRI).
- **Robotics:** describing the position of robot arms.
- **Viewing pipeline:** converting world coordinates to viewing coordinates and projecting them.
- **Scientific visualization:** viewing molecules, terrain and data models.

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. 3D transformations in medical imaging are used to:
   A. Rotate and resize scans like CT and MRI
   B. Print scans
   C. Compress scans
   D. Colour scans
   Answer: A. Viewing scans from different angles needs rotation and scaling. (Key point: Medical imaging)

2. In CAD/CAM, transformations are used to:
   A. Store data
   B. Move, rotate and scale parts and view from different angles
   C. Only print
   D. Delete parts
   Answer: B. They place and view design parts. (Key point: CAD)

3. In flight simulators 3D transformations are needed because:
   A. The screen is 3D
   B. Colours change
   C. The viewer position changes
   D. Sound changes
   Answer: C. Camera/viewer movement needs viewing transformations. (Key point: Simulators)

## Related in Computer Graphics

- [3D window to viewport transformation](https://www.bctengineer.com/question.md?key=semester_5%2Fcomputer_graphics%3Awindow-viewport-3d-matrix) — Computer Graphics, chapter 4
- [3D rotation about axis (1,2,3)-(10,20,30)](https://www.bctengineer.com/question.md?key=semester_5%2Fcomputer_graphics%3Arotate-3d-axis-1-2-3) — Computer Graphics, chapter 4
- [3D world to viewing coordinate matrix](https://www.bctengineer.com/question.md?key=semester_5%2Fcomputer_graphics%3Aworld-to-viewing-3d-matrix) — Computer Graphics, chapter 4, asked 2×

## Related in other subjects

- [Transition elements; industrial uses of 3d elements](https://www.bctengineer.com/question.md?key=semester_2%2Fengineering_chemistry%3Atm-industrial-applications) — Engineering Chemistry, chapter 5