Advanced Graphics Design

Synopsis

*** Students are strongly encouraged to have taken MTH102 Matrices and Transformations before registering for this course.***MTD203 Advanced Graphics Design introduces students the mathematics and optics for computer graphics. At the end of the course, students will possess basic knowledge in geometry and optics for computer graphics, so that they can describe the detailed mechanism of ray tracing. In this course, the basic geometry includes vectors, matrices, transformation, and line-object intersection. The basic optics includes lighting, reflection model, shading, and reflection/refraction vectors.

Level: 2
Credit Units: 5
Presentation Pattern: Every January

Topics

Vectors
Matrices
Basic transformations
Composite transformations
Lines and Planes
Ray-Object Intersections
Lighting
Reflection model
Shading
Reflection vector
Refraction vector
Ray tracing

Learning Outcome

Discuss the operations and properties of vectors, including the geometrical meaning of the operations.
Solve the operations and properties of matrices
Demonstrate the transformation operations including scaling, translation, rotation, and composite transformation
Calculate the intersection between a ray and an object
Explain the 3D geometry of lines, planes
Describe the surface intersections and normal vector calculation
Explain the concepts of lighting, shading, and reflection
Illustrate the concept of ray tracing
Calculate vector and matrix arithmetic
Solve the roots of quadratic polynomials
Calculate the intersection between a ray and an object
Compute pixel intensity based on Phong reflection model and shading techniques
Solve reflection and refraction vectors

Part-time Programmes / CET Courses

Singapore University of Social Sciences

Advanced Graphics Design