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251-0538-00L 5 Credits
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Flächenrepräsentation und geometrisches Modellieren

Surface Representations and Geometric Modeling

Lecturers & Examiners: Dr. Mark Pauly, Prof. Dr. Bob Sumner
VVZ CR n/a

Last Updated: 2026-02-05 15:10:04

Abstract

This course covers some of the latest developments in geometric modeling and surface representations. Topics include Bézier-curves and B-Splines, polynomial surfaces, triangle Meshes, subdivision schemes, mesh fairing and simplification, multiresolution methods, and interactive shape editing.

Objective

Introduction to geometric modeling and digital surface processing. The exercises will include reading assignments and discussion of scientific papers.

Content

Recent advances in 3D digital geometry processing have created a plenitude of novel concepts for the mathematical representation and interactive manipulation of geometric models. This course covers some of the latest developments in geometric modeling and surface representations. The first part of the course will discuss traditional methods, such as splines and NURBS, and will introduce the basic notions of differential geometry. The second part of the course will address more recent developments in digital geometry processing. Topics include Bézier-curves and B-Splines, polynomial surfaces, triangle Meshes, subdivision schemes, mesh fairing and simplification, multiresolution methods, and interactive shape editing.

Resources

Lecture Notes

slides and paper handouts

General Information

Language
English
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 15 minutes

Course Components

Type Title Time & Place Hours
lecture Surface Representations and Geometric Modeling
  • Thu 14:15-16:00 (RZ F 21)
2 h weekly
exercise Surface Representations and Geometric Modeling
  • Thu 16:15-17:00 (RZ F 21)
1 h weekly

Offered In