Geometry Processing

What it is about

You will learn mathematical foundations and practical representations of curves and surfaces, as well as methods for modeling, analysis, and presentation of geometric shapes. In the end you can assess various representations (parametric, implicit, splines, subdivision, CSG, voxel, neural), reconstruction from point sets, and level-of-detail strategies, and independently develop and implement suitable approaches.

What you will be able to do

• Understand mathematical foundations of geometric shapes
• Apply parametric and implicit representations of curves and surfaces
• Master spline and subdivision techniques
• Know CSG-, voxel-, and neural scene representations
• Perform surface analysis using differential geometry
• Apply level-of-detail and reconstruction methods
• Evaluate methods in terms of functionality, quality, and efficiency
• Develop and implement own modeling and rendering solutions

What the module consists of

• LecturesConveying the substantive foundations, demonstrations and tasks for modeling

Teaching method

• Lecture/PresentationConveying the professional concepts and references to literature
• Online DemonstrationsShow practical skills and applications of methods
• Whiteboard ExercisesPractice concrete modeling tasks and explain mathematical derivations
• Independent work with modeling toolsLearn and apply common tools for creating own models