# Gwybodaeth Modiwlau

Module Identifier
CS32310
Module Title
2009/2010
Co-ordinator
Semester
Semester 1
Pre-Requisite
CS32110
Other Staff

#### Course Delivery

Delivery Type Delivery length / details
Lecture 22 lectures
Seminars / Tutorials Up to 2 seminars / tutorials
Practical Up to 4 x 1 hour

#### Assessment

Assessment Type Assessment length / details Proportion
Semester Assessment A2  Written assignment  20%
Semester Exam 2 Hours   A1  80%
Supplementary Exam Will take the same form, under the terms of the Department's policy

### Learning Outcomes

On successful completion of this module, students will:

• be able to describe and use the basic line drawing algorithms appropriate to raster graphics; (A1,A2)
• be able to use vectors and matrices to perform 2-D and 3-D transformations, including perspective transformations; (A1, A2)
• be aware of a variety of approaches to solid modeling, and in particular, to visible surface determination; (A1)
• be able to describe and critique different lighting models and rendering techniques; (A1)
• be aware of the variety of technologies for motion capture, with in depth experience of one such technique. (A1)

### Brief description

This course provides students with an understanding of the theoretical foundations of computer graphics, with an emphasis on analytical skills for graphical object representations.

### Aims

This module, building on prior learning obtained through the study of module CS32110, will address the topics needed to understand the theoretical foundation of computer graphics, and in particular, the graphical representation of objects. Students are introduced to topics that include:

• The underlying mathematics of 2- and 3-dimensional graphics display techniques
• 2- and 3-dimensional geometric coordinate transforms
• Projection representations
• Solid Modeling
• Representation through curves and surfaces
• Motion capture techniques

### Content

1. The Interactive Graphics Paradigm - 1 Lecture.
2. Basic concepts: display space, viewports, windows, world coordinates, normalised device coordinates, and device coordinates.
3. Coordinate Transforms - 4 Lectures.
4. Trigonometry, matrix and vector algebra. Basic 2-D and 3-D transformations, matrix representation and homogeneous coordinates. Composite transforms.
5. The 2-D Viewing Pipeline - 3 Lectures.
6. 2-D transformations from world coordinates to device coordinates. Raster graphics and line drawing, anti-aliasing 2-D clipping, polygon clipping.
7. 3-D Display Systems - 4 Lectures.
8. 3-D viewing parameters. Perspective and parallel projection. 3-D clipping. Hidden surface removal.
9. Modelling curves and surfaces - 4 Lectures.
10. Introduction to Bezier, Hermite and spline curves and surfaces in 2-D and 3-D. Introduction to Geometric Modelling - 2 Lectures. Object models in 2-D and 3-D. Wireframe Modeling.
11. Volume rendering - 4 Lectures.
12. Collision and intersection detection, lighting models, texture mapping, techniques for mapping 2-D images onto 3-D surfaces, ray tracing.
13. Motion capture systems - 2 Lectures.
14. The Vicon 512 System motion for capture in medical gait analysis and in animation, morphing.