Graphics 2 (06-02408): Additional course material

Lecturer: Professor Ela Claridge

Course details

• Module description and syllabus

Problems and exercises

• Exercise 11 January 2012: Matrix and vector arithmetics
  Solutions
• Matlab exercise 1 - Polygon tables, define a cube: ex1_simple_cube.m (right-click and save in your local Matlab directory)
• Matlab exercise 2 - Sweep representations, cube and torus: ex2_torus.zip (right-click and choose 'Save Link As ...')
• Matlab exercise 3 - Height maps and parametric surfaces: ex3_surfaces.zip (right-click and choose 'Save Link As ...')
• Exercise 24 January 2012 - Surface normals and surface visibility: Surface visibility
  Solutions
• Matlab exercise 4 - Surface lighting: Exercise sheet and Matlab script ex4_lighting.m
• Matlab exercise 5 - Surface shading: Exercise sheet and Matlab script ex5_shading.zip (right-click and choose 'Save Link As ...')
• Matlab exercise 6 - Colour: Exercise sheet and Matlab script ex6_colour.zip (right-click and choose 'Save Link As ...')
• Matlab exercise 7 - Transformation of coordinate systems: Exercise sheet and Matlab script ex7_coord_transf.zip (right-click and choose 'Save Link As ...')
• Exercise 28 February - 3-dimensional viewing ("Big N")
  
Class exercise "Big N" - outline solution
• Exercise 29 February - Animation: Exercise sheet and ex8_animation.zip (right-click and choose 'Save Link As ...')
• Exercises for splines and Bezier patches: Exercise sheet and ex9_splines.zip (right-click and choose 'Save Link As ...')

Additional learning materials

• Basics of matrix and vector arithmetics
• Matlab tutorial (.ppt) (general introduction; slides from http://web.mit.edu/6.094/www/lecnotes/lec1.ppt; ignore first five pages which have information relevant to the MIT course)
• Another Matlab tutorial (focused on vectors and matrices; from Cyclismo.org)
• Composite 2D transformations. Problem and step-by-step solution.
• Example of computing a spline curve: step-by-step example.
• Derivation of the Bresenham's line drawing algorithm.
• This Appendix will be included in the exam paper.

Lecture slides

• Aims of the course
• Introduction: scope, applications, history
• Defining 3D objects - coordinate systems, surface and volumetric representations
• Surfaces: sweep representations. Basic 3D transformations - revision
• Surfaces: parametric representations
• Introduction to surface rendering; Surface normals
• Illumination and shading (part 1)
• Illumination and shading (part 2)
• Colour: physics, perception and colour spaces
• Colour: models, raster data and colour maps
• Virtual camera
• Composite transformations
• Viewing transformations
• Animation
• Splines and Bezier patches
• Raster conversion algorithms for line and circle
• Scan-line area fill algorithm
• Hidden surface removal
• Texture mapping
• Adding reality to images - overview of advanced techniques
• Revision