Code: 2-MPG-102/00

Continuous assessment: Independent work on homework and projects

Final assessment: Examination

Objective: Students will acquire the necessary theoretical foundations and the ability to work with basic techniques of photorealistic computer graphics.

Course syllabus:

1. Introductory information
2. Basic concepts of radiometry and photometry, table of radiometric and photometric quantities
3. Light-surface interaction, BRDF
4. Physically based lighting models and shading algorithms
5. Ray tracing, ray-object intersection, point vs. polygon test in 2D
6. Distributed ray tracing, methods for accelerating ray tracing computations
7. Integration by Monte Carlo methods
8. Sample generation for MC methods, Multiple Importance Sampling
9. Rendering equation, Path Tracing, Bidirectional Path Tracing
10. Radiosity method, form-factor calculation, solution of the radiosity method equation system
11. Texture mapping
12. Shadow rendering methods

Supplementary materials for lectures:

• Basic concepts of radiometry and photometry, photometry and radiometry, mathematics in radiometry, dω = sinθ dθ dφ
• Light-surface interaction, BRDF
• Physics and Math of Shading (Hoffman)
• Integration by Monte Carlo methods
• Monte Carlo Integration
•  Sample generation according to p(ω), uniform sampling and sampling according to cos(θ)
• Bias in rendering
• Rendering equation, Distributed ray tracing and path tracing, Path Tracing II, Bidirectional Path Tracing
• Bidirectional Path Tracing (Veach: Chapter 10)
•  From the rendering equation to Radiosity
• Radiosity and Relaxation Methods
• Realtime Shadows, Soft Shadows using Penumbra Wedges, Shadow Rendering Techniques: Hard and Soft
• Global Illumination Compendium
• Formula sheet

Exercises are conducted by Mgr. Marcel Makovník. More information can be found on the exercise website.

Literature:

Jiří Žára,  Bedřich Beneš,  Jiří Sochor, Petr Felkel: Moderní počítačová grafika, Computer Press, 2004
Moller, Haines, Hoffman: Real-Time Rendering, A K Peters, 2018
Hughes, van Dam, McGuire, Sklar, Foley, et al.: Computer Graphics: Principles and Practice, Addison-Wesley, 2013
Eric Lengyel: Mathematics for 3D Game Programming and Computer Graphics, Cengage Learning PTR, 2011
Pharr, Humphreys: Physically Based Rendering: From Theory To Implementation, Morgan Kaufmann, 2010
Samuel Buss: 3-D Computer Graphics - A Mathematical Introduction with OpenGL,  Cambridge University Press, 2003
Shirley, Ashikhmin, Marschner: Fundamentals of Computer Graphics, A K Peters, 2009
Alan Watt: 3D Computer Graphics, Addison-Wesley, 1999

Downloads:

• Letter texture

1. Template for project 1 - Raycasting without shadows and with light attenuation
2. Template for project 2 - Raytracing without reflection/refraction and shadows, with one light source
3. Template for project 3 - Raytracing without reflection/refraction with shadows, ambient lighting and multiple light sources with attenuation
4. Template for project 4 - Raytracing with termination test based on recursion depth and minimum ray intensity