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)
This course provides students with an understanding of the theoretical foundations of computer graphics, with an emphasis on analytical skills for graphical object representations.
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
Representation through curves and surfaces
Motion capture techniques
The Interactive Graphics Paradigm - 1 Lecture.
Basic concepts: display space, viewports, windows, world coordinates, normalised device coordinates, and device coordinates.
Coordinate Transforms - 4 Lectures.
Trigonometry, matrix and vector algebra. Basic 2-D and 3-D transformations, matrix representation and homogeneous coordinates. Composite transforms.
The 2-D Viewing Pipeline - 3 Lectures.
2-D transformations from world coordinates to device coordinates. Raster graphics and line drawing, anti-aliasing 2-D clipping, polygon clipping.
3-D Display Systems - 4 Lectures.
3-D viewing parameters. Perspective and parallel projection. 3-D clipping. Hidden surface removal.
Modelling curves and surfaces - 4 Lectures.
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.
Volume rendering - 4 Lectures.
Collision and intersection detection, lighting models, texture mapping, techniques for mapping 2-D images onto 3-D surfaces, ray tracing.
Motion capture systems - 2 Lectures.
The Vicon 512 System motion for capture in medical gait analysis and in animation, morphing.
** Essential Reading
F.S.Hill (2001) Computer Graphics using Open GL
P.Cooley (2001) The Essence of Computer Graphics
Pearson Education Ltd.
** Consult For Futher Information
A. Watt (1989) Fundamentals of Three-Dimensional Computer Graphics
J. D. Foley, A. van Dam, S. K. Feiner, J. F. Hughes, and R. L. Phillips (1993) Introduction to Computer Graphics
This module is at CQFW Level 6