Geometric Modeling - Winter Semester 2021/22

General Information

Saarland University

Geometric Modeling

Lecture with tutorials

Instructor: Rhaleb Zayer

Lectures:

Time: Mondays 12:15 - 13:45

Thursdays 14:15 - 15:45

Location: Online (in accordance with university guidelines)

Tutorials:

Time: TBA

Location: TBA

Credit Points: 9

Office hours: Appointments can be coordinated via e-mail

Class materials: Available for download. The username and password will be provided in the lecture.

Announcements

This section will be regularly updated during the semester.

· First lecture will be given on Oct. 25th^.

Registration

Please note that you need to sign up with us, and with HISPOS separately. The information is not passed automatically (either way).

To register with us, please send an email to me within the first two weeks of the lecture.

Include: Name, student number, your email, “Studienordnung”.

Please indicate “GM 2021 registration” as subject.

Overview

Recent progress in Geometric Modeling has been stimulated by numerous applications in engineering and multimedia. The purpose of the course is to give an introduction to classical and modern mathematical techniques employed in Geometric Modeling and to demonstrate how these techniques are useful across various fields, for instance, design, manufacturing, entertainment and multimedia. The course will also serve as a starting point for those students who wish to use Geometric Modeling concepts and ideas in their own research. Topics to be covered include shape interpolation and approximation with piecewise polynomial curves and surfaces, mesh processing, and multiresolution modeling.

Course topics:

Mathematical background for geometric modeling
Modeling Techniques:

Splines, curves and surfaces
Bezier splines, B-Splines, NURBS, implicit functions
Variational Modeling

Geometry Processing:

Processing of 3D scanner data
Registration, reconstruction, data fitting

Practical Skills:

Programming assignments & tutorials

Software

Matlab will be used for the practical tutorials. The software is available for free through the university IT-Services. Please check their website for details.

Expected Work

The course is suitable for MS students. Familiarity with basic computer graphics (or motivation to quickly learn them) is desirable. Assessment will be based on assignments, mini-projects, and final exam at the end of the semester.

Assignments

To be admitted to the exam, you need to have

o Turned in 100% of all homework assignments. Yes, you need to work on all assignments.

o Received at least 50% of all homework points

Written Exams

o End of Term (time and room): Feb. 15th, 14--16, lecture Hall 003 in E1 3

o Re-Exam (time and room) : March 24th, 10--12, lecture Hall 003 in E1 3

Literature

Main textbooks, on shelf in the CS-library ("Semesterapparat")

Gerald Farin: Curves and Surfaces for Computer Aided Geometric Design (Fifth Edition), Morgan Kaufmann, 2002.
Alfred Gray: Modern Differential Geometry of Curves and Surfaces with Mathematica (Second Edition), CRC, 1997.
Wolfgang Kühnel: Differential Geometry: Curves - Surfaces - Manifolds, American Mathematical Society, 2005.
Additional textbooks on shelf in the CS-library